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On Some Inequalities of Simpson's Type via h-Convex Functions
h− convex and h− concave functions Simpson抯 Inequality Holder nequality
2012/6/21
In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give...
Covering Numbers for Convex Functions
Covering Numbers Convex Functions Information Theory
2012/4/17
In this paper we study the covering numbers of the space of convex and uniformly bounded functions in multi-dimension. We find optimal upper and lower bounds for the $\epsilon$-covering number of $\C(...
On the Coordinated Convex Functions
Hadamard’s inequality co-ordinates convexity Holder’s inequality Power mean inequality
2011/9/15
Abstract: In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.
On Some New Hadamard-Type Inequalities for Coordinated Quasi-convex Functions
Quasi-convex functions Holder Inequality Power Mean Inequality co-ordinates Lipschitzian function
2011/9/15
Abstract: In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some propertie...
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 Hadamard Type Inequalities for M-Convex Functions
The Hadamard Type Inequalities M-Convex Functions
2010/11/11
In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.
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.
A subclass of quasi-convex functions with respect to symmetric points
convex with respect to symmetric points quasi-convex with respect to symmetric points coefficient estimates
2010/9/10
A subclass of quasi-convex functions with respect to symmetric points.
Hadamard Product Of Certain Meromorphic $p-$Valent Starlike and $p-$Valent Convex Functions
Meromorphic $p$-valent Hadamard product
2010/1/22
In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (...
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.