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Research Report Collection

Volume 16, 2013

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, 16(2013), Article 1, xx pp.

 

1. S. S. Dragomir
Jensen Type Weighted Inequalities for Functions of Selfadjoint and Unitary Operators
  PDF 
2. M. I. Bhatti, M. Iqbal and S. S. Dragomir
Some New Fractional Integral Hermite-Hadamard Type Inequalities
  PDF 
3. S. S. Dragomir
A Generalized Cebysev Functional for the Riemann-Stieltjes Integral with Applications for Selfadjoint and Unitary Operators
  PDF 
4. A. Guessab
Direct and Converse Results for Generalized Multivariate Jensen-Type Inequalities
  PDF 
5. S. S. Dragomir
Some Inequalities of Jensen Type for Arg-square Convex Functions of Unitary Operators in Hilbert Spaces
  PDF 
6. S. S. Dragomir
Ostrowski's Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary
Operators in Hilbert Spaces
  PDF 
7. S. S. Dragomir
Trapezoid Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces
  PDF 
8. S. S. Dragomir
Quasi Gruss Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces
  PDF 
9. S. S. Dragomir
Generalized Trapezoid Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces
  PDF 
10. S. S. Dragomir
Gruss Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces
  PDF 
11. D.-Y. Huang and S. S. Dragomir
Comparing Two Integral Means for Mapping of Bounded Variation and Applications
  PDF 
12. A. Guessab
Lower and Upper Bounds for Positive Linear Functionals
  PDF 
13. M. W. Alomari and S. S. Dragomir
A Three-Point Quadrature Rule for the Riemann-Stieltjes Integral with Applications
  PDF 
14. M. A. Latif
New Inequalities of Hermite-Hadamard and Fejer Type Inequalities Via Preinvexity
  PDF 
15. M. A. Latif
Some Hermite-Hadamard Type Inequalities for Functions Whose Partial Derivatives in Absolute Value are Preinvex on the Co-ordinates
  PDF 
16. M. A. Latif
Some New Hermite-Hadamard Type Inequalities for Functions Whose Higher Order Partial Derivatives are Co-ordinated s-Convex
  PDF 
17. M. A. Latif
New Inequalities of Hermite-Hadamard Type for n-Time Differentiable (alpha,m)-Convex Functions with Applications to Special Means
  PDF 
18. M. A. Latif
On Hermite-Hadamard Type Integral Inequalities for n-Time Differentiable Preinvex Functions with Applications
  PDF 
19. S. S. Dragomir and I. Gomm
Some Applications of Fejer's Inequality for Convex Functions (I)
  PDF 
20. F. Qi
Polya Type Integral Inequalities: Origin, Variants, Proofs, Refinements, Generalizations, Equivalences, and Applications
  PDF 
21. S. S. Dragomir and I. Gomm
Some Applications of Fejer's Inequality for Convex Functions (II)
  PDF 
22. M. A. Latif
Some Inequalities for Differentiable Prequasiinvex Functions with Applications
  PDF 
23. M. Kian and S. S. Dragomir
Operator Inequalities Involving Superquadratic Functions
  PDF 
24. S. S. Dragomir
Some Lipschitz Type Inequalities for Complex Functions
  PDF 
25. A. Witkowski
On Invariance Equation for Means of Power Growth
  PDF 
26. A. Guessab and G. Schmeisser
Necessary and Sufficient Conditions for the Validity of Jensen's Inequality
  PDF 
27. A. Guessab
Generalized Barycentric Coordinates and Jensen Type Inequalities on Convex Polytopes
 (this preprint has been withdrawn by the author)
28.  H.-N. Shi and J. Zhang
Schur-convexity, Schur-geometric and Harmonic Convexities of Dual Form of a Class Symmetric Functions
  PDF 
29. S. S. Dragomir
Refinements of the Ostrowski Inequality in Terms of the Cumulative Variation and Applications
  PDF 
30. S. S. Dragomir
Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications
  PDF 
31. S. S. Dragomir
Inequalities for the Riemann-Stieltjes Integral of S-Dominated Integrators with Applications (I)
  PDF
32. S. S. Dragomir
Inequalities for the Riemann-Stieltjes Integral of S-Dominated Integrators with Applications (II)
  PDF
33. S. S. Dragomir
Inequalities for the Riemann-Stieltjes Integral of (p;q)-H-Dominated Integrators with Applications
  PDF
34. S. S. Dragomir
Inequalities for the Riemann-Stieltjes Integral of Under the Chord Functions with Applications
  PDF
35. M. W. Alomari
Two Point Gauss-Legendre Quadrature Rule for Riemann-Stieltjes Integrals
  PDF 
36. L. Ciurdariu
On Integral Forms of Several Inequalities
  PDF 
37. S. S. Dragomir
Inequalities for the Riemann-Stieltjes Integral of Product Integrators with Applications
  PDF 
38. G. A. Anastassiou
Generalised Fractional Hermite-Hadamard Inequalities Involving m-Convexity and (s;m)-Convexity
  PDF 
39. G. A. Anastassiou
Multivariate Generalised Fractional Polya Type Integral Inequalities
  PDF 
40. G. A. Anastassiou
General Gruss and Ostrowski Type Inequalities Involving s-Convexity
  PDF 
41. G. A. Anastassiou
Univariate Fractional Polya Type Integral Inequalities
  PDF 
42. G. A. Anastassiou
The Reduction Method in Fractional Calculus and Fractional Ostrowski Type Inequalities
  PDF 
43. G. A. Anastassiou
Fractional Polya Type Integral Inequality
  PDF 
44. G. A. Anastassiou
Canavati Fractional Ostrowski Iype Inequalities
  PDF 
45. G. A. Anastassiou
Balanced Canavati Type Fractional Opial Inequalities
  PDF 
46. S. S. Dragomir, C. Harley and E. Momoniat
Error Bounds in Approximating the Riemann-Stieltjes Integral for Cn+1-Class Integrands and Nonsmooth Integrators
  PDF 
47. S. S. Dragomir and Y. Seo
Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces Via Wielandt and Reverses of Schwarz Inequalities
  PDF 
48. M. W. Alomari and S. S. Dragomir
Some Gruss Type Inequalities for the Riemann-Stieltjes Integral with Lipschitzian Integrators
  PDF 
49. S. S. Dragomir
Inequalities for the Riemann-Stieltjes Integral of Midpoint Separated Functions with Applications
  PDF 
50. L. Ciurdariu
Integral Forms for Some Inequalities
  PDF 
51. M. A. Latif and S. S. Dragomir
Some Weighted Integral Inequalities for Differentiable Preinvex and Prequasiinvex Functions with Applications
  PDF 
52. S. S. Dragomir
Inequalities for Power Series in Banach Algebras
  PDF 
53. L. Ciurdariu
On Several Inequalities Deduced Using a Power Series Approach
  PDF 
54. A. Witkowski
On Seiffert-Like Means
  PDF 
55. P. Cerone, S. S. Dragomir and E. Kikianty
Error Bounds for Trapezoid Type Quadrature Rules with Applications for the Mean and Variance
  PDF 
56. L. Ciurdariu
On Several Inequalities Obtained from Generalizations of Young's Inequality by a Power Series Approach
  PDF 
57. M. A. Latif and M. Shoaib
Hermite-Hadamard Type Integral Inequalities for Differentiable m-Preinvex and (α;m)-Preinvex Functions
  PDF 
58. M. A. Latif and S. S. Dragomir
Hermite-Hadamard Type Integral Inequalities for n-Time Differentiable m-Preinvex Functions
  PDF 
59. A. Guessab
Generalized Barycentric Coordinates and Approximations of Convex Functions on Arbitrary Convex Polytopes

The preprint has been withdrawn by the author.
 

60. S. S. Dragomir
Bounds for a Cebysev Type Functional in Terms of Riemann-Stieltjes Integral
  PDF 
61. L. Ciurdariu
Some Inequalities Obtained for Power Series
  PDF 
62. S. S. Dragomir
Trapezoidal Type Inequalities for Riemann-Stieltjes Integral Via Cebysev Functional with Applications
  PDF 
63. A. Witkowski
On Harmonic Representation of Means
  PDF 
64. S. S. Dragomir
Another Ostrowski Type Inequality Via Pompeiu's Mean Value Theorem
  PDF 
65. S. S. Dragomir
A Functional Generalization of Ostrowski Inequality Via Montgomery Identity
  PDF 
66. S. S. Dragomir
Inequalities of Pompeiu's Type for Absolutely Continuous Functions with Applications to Ostrowski's Inequality
  PDF 
67. S. S. Dragomir
A Functional Generalization of Trapezoid Inequality
  PDF 
68. S. S. Dragomir
Power Pompeiu's Type Inequalities for Absolutely Continuous Functions with Applications to Ostrowski's Inequality
  PDF 
69. S. S. Dragomir
Bounds for Convex Functions of Cebysev Functional Via Sonin's Identity with Applications
  PDF 
70. S. S. Dragomir
Exponential Pompeiu's Type Inequalities with Applications to Ostrowski's Inequality
  PDF 
71. S. S. Dragomir
Ostrowski Type Inequalities for Functions Whose Derivatives are h-Convex in Absolute Value
  PDF 
72. S. S. Dragomir
Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
  PDF 
73. S. S. Dragomir, M. V. Boldea and C. Buşe
Norm Inequalities of Cebysev Type for Power Series in Banach Algebras
  PDF 
74. A. O. Akdemir and S. S. Dragomir
Simpson Type Integral Inequalities and Applications
  PDF 
75. S. S. Dragomir
Double Integral Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
  PDF 
76. Nguyen Ngoc Hue
Some Inequalities Involving the Bessel Functions of the First Kind
  PDF 
77. S. S. Dragomir
n-Points Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
  PDF 
78. S. S. Dragomir
Inequalities of Jensen Type for h-Convex Functions on Linear Spaces
  PDF 
79. G. A. Anastassiou
Most General Fractional Representation Formula for Functions and Implications
  PDF 
80. G. A. Anastassiou
Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities
  PDF 
81. G. A. Anastassiou
Multivariate Fractional Representation Formula and Ostrowski Type Inequality
  PDF 
82. G. A. Anastassiou
Multivariate Weighted Fractional Representation Formulae and Ostrowski Type Inequalities
  PDF 
83. G. A. Anastassiou
Basic and s-Convexity Ostrowski and Grüss Type Inequalities Involving Several Functions
  PDF 
84. G. A. Anastassiou
Harmonic Multivariate Ostrowski and Grüss Type Inequalities for Several Functions
  PDF 
85. G. A. Anastassiou
Fractional Ostrowski and Grüss Type Inequalities Involving Several Functions
  PDF 
86. G. A. Anastassiou
Further Interpretation of Some Fractional Ostrowski and Grüss Type Inequalities
  PDF 
87. S. S. Dragomir
Inequalities of Hermite-Hadamard Type for φ-Convex Functions
  PDF 
88. M. A. Latif and S. S. Dragomir
Generalization of Inequalities of Hermite-Hadamard Type for n-Times Differentiable Functions Through Preinvexity
  PDF 
89. S. S. Dragomir
Inequalities of Jensen Type for φ-Convex Functions
  PDF 
90. S. S. Dragomir
Ostrowski Via a Two Functions Pompeiu's Inequality
  PDF 
91. S. S. Dragomir
Some Gruss Type Results Via Pompeiu's Like Inequalities
  PDF 
92. P. Cerone, S. S. Dragomir and E. Kikianty
Multiplicative Ostrowski and Trapezoid Inequalities
  PDF 
93. S. S. Dragomir
Some Perturbed Ostrowski Type Inequalities for Functions of Bounded Variation
  PDF 
94. S. S. Dragomir
Some Perturbed Ostrowski Type Inequalities for Absolutely Continuous Functions (I)
  PDF 
95. S. S. Dragomir
Some Perturbed Ostrowski Type Inequalities for Absolutely Continuous Functions (II)
  PDF 
96. S. S. Dragomir
Some Perturbed Ostrowski Type Inequalities for Absolutely Continuous Functions (III)
  PDF 
   
   
   
   
   
   
   
   
   
   
Last modified: March 26 2016 17:12:51.

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