Navy Line

RGMIA
  News
  
About Us
  
Summary
  
Mathematical Inequalities
  
Problem Corner

Members
  Alphabetical Listing
  
Become a Member

Research Report Collection
  About
  
Issues
  
Submit a Paper

Publications in Inequalities
  RGMIA Monographs
  
Books
  
Journals

Other Items
  Inequalities Conferences
  
Links

Research Report Collection

Volume 25, 2022

The preprints are listed in increasing order of submission date and only the pdf files of the papers provided by the authors will be available. They can be cited as:

[1] I. I. Surname, Title of the Paper, RGMIA Research Report Collection, 25 (2022), Article x, xx pp.  

 

 
1. S. S. Dragomir
Some Determinant Power Inequalities for Positive Definite Matrices Via Jensen's Inequality for Exponential Functions
  PDF 
2. N. Faried, M. S. S. Ali and Z. M. Yehia
On Certain Properties of Sub E-functions
  PDF 
3. S. S. Dragomir
Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via Tominaga and Furuichi Results
  PDF
4. S. S. Dragomir
Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via Some Inequalities in Terms of Kantorovich Ratio
  PDF
5. S. S. Dragomir
Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via Refinements and Reverses of Young's Result
  PDF
6. S. S. Dragomir
Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via Jensen and Slater's Results
  PDF
7. S. S. Dragomir
New Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via Jensen and Slater's Results
  PDF
8. S. S. Dragomir
Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via One Variable Log Inequalities
  PDF
9. S. S. Dragomir
Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via Ostrowski Type Results
  PDF
10. S. S. Dragomir
Inequalities for the Normalized Determinant of Positive Operators in Hilbert Spaces Via Two Variables Log Inequalities
  PDF
11. S. S. Dragomir
Inequalities for the Normalized Determinant of Two Positive Operators in Hilbert Spaces
  PDF
12. S. S. Dragomir
Reverses of Some Inequalities for the Normalized Determinants of Sequences of Positive Operators in Hilbert Spaces
  PDF
13. S. S. Dragomir
Refinements and Reverses of Some Inequalities for the Normalized Determinants of Sequences of Positive Operators in Hilbert Spaces
  PDF
14. G. A. Anastassiou
Algebraic Function Based Banach Space Valued Ordinary and Fractional Neural Network Approximations
  PDF
15. G. A. Anastassiou
Gudermannian Function Activated Banach Space Valued Ordinary and Fractional Neural Network Approximations
  PDF
16. S. S. Dragomir
Some Properties of Trace Class P-Determinant of Positive Operators in Hilbert Spaces
  PDF
17. S. S. Dragomir
Upper and Lower Bounds for Trace Class P-Determinant of Positive Operators in Hilbert Spaces
  PDF
18. S. S. Dragomir
Upper and Lower Bounds for Trace Class P-Determinant of Positive Operators in Hilbert Spaces Via Kantorovich's Constant
  PDF
19. S. S. Dragomir
On Some Upper and Lower Bounds for Trace Class P-Determinant of Positive Operators in Hilbert Spaces
  PDF
20. S. S. Dragomir
Some Bounds for Trace Class P-Determinant of Positive Operators in Hilbert Spaces Via Tominaga's Results
  PDF
21. S. S. Dragomir
Inequalities for Trace Class P-Determinant of Positive Operators in Hilbert Spaces Via Ostrowski Type Results
  PDF
22. S. S. Dragomir
Several Bounds for the Trace Class P-Determinant of Positive Operators in Hilbert Spaces
  PDF
23. S. S. Dragomir
Bounds for the Trace Class P-Determinant of Positive Operators in Hilbert Spaces Via Jensen's Type Inequalities for Twice Differentiable Functions
  PDF
24. S. S. Dragomir
Some Functional Properties for the Normalized Determinant of Sequences of Positive Operators in Hilbert Spaces
  PDF
25. S. S. Dragomir
Some New Inequalities for the Trace Class P-Determinant of Positive Operators in Hilbert Spaces
  PDF
26. S. S. Dragomir
Some Functional Properties for the Trace Class P-Determinant of Sequences of Positive Operators in Hilbert Spaces
  PDF
27. G. A. Anastassiou
Generalized Symmetrical Sigmoid Function Activated Banach Space Valued Ordinary and Fractional Neural Network Approximation
  PDF
28. S. S. Dragomir
Some Improvements of the Monotonicity Property for the Normalized Determinant  of Positive Operators in Hilbert Spaces
  PDF
29. S. S. Dragomir
The Sub-multiplicative Property for the Normalized Determinant  of Positive Operators in Hilbert Spaces
  PDF
30. S. S. Dragomir
Some Improvements of the Monotonicity Property for the Trace Class P-Determinant of Positive Operators in Hilbert Spaces
  PDF
31. S. S. Dragomir
A Sub-Multiplicative Property for the Trace Class P-Determinant of Positive Operators in Hilbert Spaces
  PDF
32. G. A. Anastassiou
General Multivariate Arctangent Function Activated Neural Network Approximations
  PDF
33. G. A. Anastassiou
Abstract Multivariate Algebraic Function Activated Neural Network Approximations
  PDF
34. G. A. Anastassiou
Abstract Multivariate Gudermannian Function Activated Neural Network Approximations
  PDF
35. G. A. Anastassiou
 Generalized Symmetrical Sigmoid Function Activated Neural Network Multivariate Approximation
  PDF
36. S. S. Dragomir
Some Basic Results for the Normalized Entropic Determinant of Positive Operators in Hilbert Spaces
  PDF
37. S. S. Dragomir
Upper and Lower Bounds for the Normalized Entropic Determinant of Positive Operators in Hilbert Spaces
  PDF
38. S. S. Dragomir
Inequalities for the Normalized Entropic Determinant of Positive Operators in Hilbert Spaces Via Kantorovich Constant
  PDF
39. S. S. Dragomir
Various Bounds for the Normalized Entropic Determinant of Positive Operators in Hilbert Spaces
  PDF
40. S. S. Dragomir
Some Reverse Inequalities for the Normalized Entropic Determinant of Positive Operators in Hilbert Spaces
  PDF
41. S. S. Dragomir
Functional Properties for the Normalized Entropic Determinant of Sequences of Positive Operators in Hilbert Spaces
  PDF
42. S. S. Dragomir
Inequalities for the Normalized Entropic Determinant of Positive Operators in Hilbert Spaces
  PDF
43. S. S. Dragomir
Refinements and Reverses of Some Inequalities for the Normalized Entropic Determinant of Positive Operators in Hilbert Spaces
  PDF
44. S. S. Dragomir
A Sub-Multiplicative Property for the Normalized Entropic Determinant of Sequences of Positive Operators in Hilbert Spaces
  PDF
45. G. A. Anastassiou
  Degree of Approximation by Kantorovich-Choquet Quasi-interpolation Neural Network Operators Revisited
  PDF
46. G. A. Anastassiou
Degree of Approximation by Kantorovich-Shilkret Quasi-interpolation Neural Network Operators Revisited
  PDF
47. G. A. Anastassiou
Vector Voronsovkaya Type Asymptotic Expansions for Sigmoid Functions Induced Quasi-interpolation Neural Network Operators Revisited
  PDF
48. G. A. Anastassiou
Fuzzy Fractional More Sigmoid Function Activated Neural Network Approximations Revisited
  PDF
49. S. S. Dragomir
Some Properties of Trace Class Entropic P-Determinant of Positive Operators in Hilbert Spaces
  PDF
50. S. S. Dragomir
Some Inequalities for Trace Class Entropic P-Determinant of Positive Operators in Hilbert Spaces
  PDF
51. S. S. Dragomir
Bounds for the Entropic Trace Class  P-Determinant of Positive Operators in Hilbert Spaces Via Kantorovich's Constant
  PDF
52. S. S. Dragomir
Inequalities for Trace Class Entropic P-Determinant of Positive Operators in Hilbert Spaces Via Čebyšev's Type Results
  PDF
53. S. S. Dragomir
Bounds for the Geometric Mean of  Trace Class  Entropic P-Determinants of Positive Operators in Hilbert Spaces
  PDF
54. S. S. Dragomir
Several Bounds for the Entropic Trace Class  P-Determinant of Positive Operators in Hilbert Spaces Via Jensen's Type Inequalities for Twice Differentiable Functions
  PDF
55. S. S. Dragomir
Functional Properties for the Entropic Trace Class  P-Determinant of Sequences of Positive Operators in Hilbert Spaces
  PDF
56. S. S. Dragomir
A Sub-multiplicative Property for the Entropic Trace Class  P-Determinant of Sequences of Positive Operators in Hilbert Spaces
  PDF
57. G. A. Anastassiou
Multivariate Fuzzy-Random and Stochastic Arctangent, Algebraic, Gudermannian and Generalized Symmetric Activation Functions Induced Neural Network Approximations
  PDF
58. S. S. Dragomir
Basic Properties of Relative Entropic Normalized Determinant of Positive Operators in Hilbert Spaces
  PDF
59. S. S. Dragomir
Some Bounds for the Relative Entropic Normalized Determinant of Positive Operators in Hilbert Spaces
  PDF
60. S. S. Dragomir
Bounds for the Relative Entropic Normalized Determinant of Positive Operators in Hilbert Spaces Via Kantorovich Constant
  PDF
61. S. S. Dragomir
Some Bounds for the Relative Entropic Normalized Determinant of Positive Operators in Hilbert Spaces
  PDF
62. S. S. Dragomir
Some Bounds for the Relative Entropic Normalized Determinant of Positive Operators in Hilbert Spaces Via Ostrowski Type Inequalities
  PDF
63. S. S. Dragomir
Quasi Monotonicity for the Relative Entropic Normalized Determinant of Positive Operators in Hilbert Spaces
  PDF
64. S. S. Dragomir
A Sub-multiplicative Property for the Relative Entropic Normalized Determinant of Positive Operators in Hilbert Spaces
  PDF
65. S. S. Dragomir
Basic Properties of Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces
  PDF
66. S. S. Dragomir
Some Inequalities Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces
  PDF
67. S. S. Dragomir
Upper and Lower Bounds for Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces in Terms of Kantorovich Constant
  PDF
68. S. S. Dragomir
Some Bounds for Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces Via Ostrowski's Inequality
  PDF
69. S. S. Dragomir
Several Product Inequalities for Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces Via Ostrowski's Inequality
  PDF
70. S. S. Dragomir
Reverse Inequalities Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces
  PDF
71. S. S. Dragomir
Some Improvements of the Monotonicity Property for Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces
  PDF
72. S. S. Dragomir
On the Sub-Multiplicative Property for the Relative Entropic Normalized P-Determinant of Positive Operators in Hilbert Spaces
  PDF
73. L. Ciurdariu
Some Hermite-Hadamard Type Inequalities for s-Convex Functions
  PDF
74. S. S. Dragomir
Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces via Two Tominaga's Results
  PDF
75. S. S. Dragomir
Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces Via a Result of Kittaneh and Manasrah
  PDF
76. S. S. Dragomir
Some Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces in Terms of Kantorovich Ratio
  PDF
77. S. S. Dragomir
Some Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces Via a Cartwright-Field Result
  PDF
78. S. S. Dragomir
Tensorial and Hadamard Product Inequalities of Schwarz Type for Selfadjoint Operators in Hilbert Spaces
  PDF
79. S. S. Dragomir
Tensorial and Hadamard Product Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces in Terms of Kantorovich Ratio
  PDF
80. S. S. Dragomir
Tensorial and Hadamard Product Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces Via a Cartwright-Field Result
  PDF
81. S. S. Dragomir
Some Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces Via a Log-Reverse of Young's Result
  PDF
82. S. S. Dragomir
Tensorial and Hadamard Product Reverse Inequalities for Selfadjoint Operators in Hilbert Spaces Related to Young's Result
  PDF
83. S. S. Dragomir
Refinements and Reverses of Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces Related to Young's Result
  PDF
84. S. S. Dragomir
Tensorial and Hadamard Product Inequalities for Synchronous Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
85. S. S. Dragomir
Some Tensorial and Hadamard Product Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
86. T. Bălan
Super-additivity and Discreteness
  PDF
87. L. Ciurdariu
A Variant of Radon's Inequality for Seminorms
  PDF
88. L. Ciurdariu
Hermite-Hadamard Type Inequalities Involving Fractional Integral Operator for Functions Whose Third Derivatives in Absolute Value are s-Convex
  PDF
89. S. S. Dragomir
Tominaga's Type Integral Inequalities for Continuous Fields of Operators in Hilbert Spaces
  PDF
90. S. S. Dragomir
Some Tensorial Hermite-Hadamard Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
91. S. S. Dragomir
Refinements and Reverses of Tensorial Hermite-Hadamard Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
92. S. S. Dragomir
Some Tensorial Arithmetic Mean-Geometric Mean Inequalities for Selfadjoint Operators in Hilbert Spaces
  PDF
93. S. S. Dragomir
Refinements and Reverses of Tensorial Arithmetic Mean-Geometric Mean Inequalities for Selfadjoint Operators in Hilbert Spaces
  PDF
94. S. S. Dragomir
A Reverse of Jensen Tensorial Inequality for Sequences of Selfadjoint Operators in Hilbert Spaces
  PDF
95. S. S. Dragomir
Two New Reverses of Jensen Tensorial Inequality for Sequences of Selfadjoint Operators in Hilbert Spaces
  PDF
96. S. S. Dragomir
Refinements and Reverses of Jensen Tensorial Inequality for Sequences of Selfadjoint Operators in Hilbert Spaces
  PDF
97. S. S. Dragomir
Refinements and Reverses of Jensen Tensorial Inequality for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
98. G. A. Anastassiou
Fractional Calculus Between Banach Spaces Along with Ostrowski and Gruss Type Inequalities
  PDF
99. G. A. Anastassiou
Sequential Fractional Calculus Between Banach Spaces and Alternative Ostrowski and Gruss Type Inequalities
  PDF
100. G. A. Anastassiou
Abstract Fractional Inequalities Over a Line Segment of a Banach Space
  PDF
101. G. A. Anastassiou and S. Karateke
Richards Curve Induced Banach Space Valued Ordinary and Fractional Neural Network Approximation
  PDF
102. G. A. Anastassiou
General Sigmoid Based Banach Space Valued Neural Network Approximation
  PDF
103. G. A. Anastassiou
General Sigmoid Based Banach Space Valued Neural Network Multivariate Approximation
  PDF
104. S. S. Dragomir
Some Properties of Tensorial Perspectives for Convex Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
105. S. S. Dragomir
Lower and Upper Bounds for Tensorial Perspectives for Convex Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
106. G. A. Anastassiou
Multiple General Sigmoids Based Banach Space Valued Neural Network Multivariate Approximation
  PDF
107. G. A. Anastassiou and S. Karateke
Richard's Curve Induced Banach Space Valued Multivariate Neural Network Approximation
  PDF
108. G. A. Anastassiou
Quantitative Approximation by Multiple Sigmoids Kantorovich-Shilkret Quasi-interpolation Neural Network Operators
  PDF
109. S. S. Dragomir
An Ostrowski Type Tensorial Norm Inequality for Continuous Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
110. S. S. Dragomir
A Trapezoid Type Tensorial Norm Inequality for Continuous Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
111. S. S. Dragomir
Tensorial Norm Inequalities for Taylor's Expansions of Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
112. S. S. Dragomir
Tensorial Upper and Lower Bounds for Taylor's Expansion of Functions of Selfadjoint Operators in Hilbert Spaces
  PDF
113. G. A. Anastassiou
Hyperbolic Tangent Like Induced Banach Space Valued Neural Network Approximation
  PDF
114. G. A. Anastassiou
Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
  PDF
115. G. A. Anastassiou
Parametrized Gudermannian Function Induced Banach Space Valued Ordinary and Fractional Neural Networks Approximations
  PDF
116. G. A. Anastassiou and S. Karateke
Parametrized Hyperbolic Tangent Induced Banach Space Valued Ordinary and Fractional Neural Network Approximation
  PDF
117. S. S. Dragomir
Tensorial and Hadamard Products Integral Inequalities for Continuous Fields of  Operators in Hilbert Spaces Via Kantorovich Ration
  PDF
118. S. S. Dragomir
Some Tensorial and Hadamard Products Integral Inequalities for Continuous Fields of  Operators in Hilbert Spaces Via a Cartwright-Field Result
  PDF
119. G. A. Anastassiou and D. Kouloumpou
Brownian Motion Approximation by Neural Networks
  PDF
120. G. A. Anastassiou
Parametrized Gudermannian Function Relied Banach Space Valued Neural Network Multivariate Approximations
  PDF
121. G. A. Anastassiou
Parametrized Arctangent Sigmoid Function Based Banach Space Valued Neural Network Approximation
  PDF
122. G. A. Anastassiou and S. Karateke
Parametrized Hyperbolic Tangent Based Banach Space Valued Multivariate Multi Layer Neural Network Approximations
  PDF
123. G. A. Anastassiou
Parametrized Arctangent Based Banach Space Valued Multi Layer Neural Network Multivariate Approximations
  PDF
124. S. S. Dragomir
Tensorial and Hadamard Products Integral Reverses of Young's Inequality for Continuous Fields of  Operators in Hilbert Spaces
  PDF
125. S. S. Dragomir
Refinements and Reverses of Young's Inequality for Tensorial and Hadamard Products of Integrals for Continuous Fields of  Operators in Hilbert Spaces (withdrawn by the author)
  
126. S. S. Dragomir
Two Operator Fields Tensorial and Hadamard Products Integral Reverses of Young's Inequality in Hilbert Spaces
  PDF
127. S. S. Dragomir
Tensorial and Hadamard Products Integral Inequalities for Synchronous Functions of Continuous Fields of  Operators in Hilbert Spaces
  PDF
128. S. S. Dragomir
Tensorial and Hadamard Products Integral Inequalities for Convex Functions of Continuous Fields of  Operators in Hilbert Spaces
  PDF
129. G. A. Anastassiou
q-Deformed Hyperbolic Tangent Based Banach Space Valued Ordinary and Fractional Neural Network Approximations
  PDF
130. S. S. Dragomir
Bounds for the Normalized Determinant of Hadamard Product of Two Positive  Operators in Hilbert Spaces
  PDF
131. S. S. Dragomir
Some Inequalities for the Normalized Determinant of Hadamard Product of Two Positive  Operators in Hilbert Spaces
  PDF
132. S. S. Dragomir
Lower and Upper Bounds for the Normalized Determinant of Hadamard Product of Two Positive  Operators in Hilbert Spaces
  PDF
133. G. A. Anastassiou
q-Deformed Hyperbolic Tangent Relied Banach Space Valued Multivariate Multi Layer Neural Network Approximation
  PDF
134. S. S. Dragomir
Some Bounds for Trace Class P-Determinant of Hadamard Product of Two Positive Operators in Hilbert Spaces Via Tominaga's Results
  PDF
135. G. A. Anastassiou
q
-Deformed and Parametrized Half Hyperbolic Tangent Based Banach Space Valued Multivariate Multi Layer Neural Network Approximations
  PDF
136. G. A. Anastassiou and D. Kouloumpou
Approximation of Time Separating Stochastic Process by Neural Networks
  PDF
137. G. A. Anastassiou
q-Deformed and λ -Parametrized Hyperbolic Tangent Function Based Banach Space Valued Multivariate Multi Layer Neural Network Approximations
  PDF




































































   
   
   
   
   
   
   
Last modified: April 17 2024 13:02:31.

Navy Line