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On Co-ordinated Quasi-Convex Functions
co-ordinates quasi-convex Wright-quasi-convex Jensen-quasiconvex
2011/2/21
In this paper, we give some definitions on quasi-convex functions and we prove inequalities contain J-quasi-convex and W-quasi-convex functions.We give also some inclusions.
On norm sub-additivity and super-additivity inequalities for concave and convex functions
Matrix Norm Inequality Positive Semidefinite Matrix Convex
2011/1/20
Sub-additive and super-additive inequalities for concave and convex functions have been generalized to the case of matrices by several authors over a period of time.These lead to some interesting ineq...
The Curse of Dimensionality for Monotone and Convex Functions of Many Variables
Convex Functions Many Variables
2010/11/22
We study the integration and approximation problems for monotone and convex bounded functions that depend on $d$ variables, where $d$ can be arbitrarily large. We consider the worst case error for al...
Some Hadamard-Type Inequalities for Coordinated P-Convex Functions and Godunova-Levin Functions
Hadamard’s inequality co-ordinated convex Godunova-Levin functions
2011/3/1
In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P−convex functions, therefore we proved a new inequality inv...
On the Hadamard type inequalities involving product of two convex functions on the co-ordinates
Convex, s− convex Co-ordinates Product of functions Hadamard’s inequality
2010/12/9
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
Characterizations of differentiability for h-convex functions in stratified groups
subdifferential stratified groups second order differentiability
2010/12/14
Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups. We show that Aleksandrov’s second order differentiabili...
On Hadamard-Type Inequalities for Co--ordinated r-Convex Functions
r− Convex Hadamard-Type Inequalities Co–ordinates
2010/12/9
In this paper we defined r−convexity on the coordinates and we established some Hadamard-Type Inequalities.
Two New Mappings Associated with Inequalities of Hadamard-type for Convex Functions
Convex function Monotonicity Integral inequality Refinement
2010/4/16
In this paper, we define two mappings associated with the Hadamard inequality, investigate their main properties and give some refinements.
A Note on Some New Refinements of Jensen's Inequality for Convex Functions
Convex function Jensen's inequality Refinements of Jensen's inequality
2010/1/25
In this note, we obtain two new refinements of Jensen's inequality for convex functions.
We continue the analysis in [F. Hansen, and J. Tomiyama, Differential analysis of matrix convex functions. Linear Algebra Appl., 420:102--116, 2007] of matrix convex functions of a fixed order defined...
A New Refinement of the Hermite-Hadamard Inequality for Convex Functions
Hermite-Hadamard inequality
2010/1/25
In this paper we establish a new refinement of the Hermite-Hadamard inequality for convex functions.
Epi-Distance Convergence of Parametrised Sums of Convex Functions in Non-Reflexive Spaces
Epi-Distance Convergence Parametrised Sums Convex Functions Non-Reflexive Spaces
2009/1/13
A weakened set of conditions is established for the epi-distance convergence of a sum $\{f_v+g_v\}_{v\in W}$ of parametrised closed convex functions $\{f_v\}_{v\in W}$ and $\{g_v\}_{v\in W}$ for $v\to...
An Integral Inequality for 3-Convex Functions
Chebyshev functional Convex functions Integral inequality
2010/1/22
In this paper, an integral inequality and an application of it, that imply the Chebyshev functional for two 3-convex (3-concave) functions, are given.
Inequalities on the Variances of Convex Functions of Random Variables
Convex functions variance
2010/1/22
We develop inequalities relating to the variances of convex decreasing functions of random variables using information on the functions and the distribution functions of the random variables.
Hermite-Hadamard-type Inequalities for Generalized Convex Functions
Hermite-Hadamard inequality generalized convexity Beckenbach families Chebyshev systems Markov-Krein theory
2010/1/22
The aim of the present paper is to extend the classical Hermite朒adamard inequality to the case when the convexity notion is induced by a Chebyshev system.