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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...
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.
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...
Hermite-Hadamard Type Inequalities via (α,m)- Convexity
Convexity Hermite-Hadamard inequality H¨older’s integral inequality
2010/12/13
In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are ( ,m)− convex.
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.
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.
Hadamard Type Inequalities for $m$-Convex and $(\alpha,m)$-Convex Functions
$m$-convex functions $(lpha,m)$-convex functions Hadamard's inequalities
2010/1/22
In this paper we establish several Hadamard type inequalities for differentiable -convex and -convex functions. We also establish Hadamard type inequalities for products of two -convex or -convex fu...
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.
Hermite-Hadamard Type Inequalities for Increasing Radiant Functions
Increasing radiant functions Abstract convexity Hermite-Hadamard type inequalities
2008/7/1
We study Hermite-Hadamard type inequalities for increasing radiant functions and give some simple examples of such inequalities.
Hadamard-type Inequalities for Quasiconvex Functions
Quasiconvex function Hadamard inequality
2008/7/1
Recently Hadamard-type inequalities for nonnegative, evenly quasiconvex functions which attain their minimum have been established. We show that these inequalities remain valid for the larger class co...
On Hadamard Type Inequalities For Generalized Weighted Quasi-Arithmetic Means
Integral mean Hadamard's inequality Generalized weighted quasi-arithmetic mean Convex functions
2008/6/30
Abstract: In the present paper we establish some integral inequalities analogous to the well-known Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral fo...
Some Hadamard-type inequalities involving the product of two convex functions are obtained. Our results generalize the corresponding results of B.G.Pachpatte.