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20102014
most citedNew some Hadamard's type inequalities for co-ordinated convex functions

107 citations · 228 across the 29 of their papers we have counts for

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Showing 2011Show all

7 papers · 1 filter

math.CA2011

On the Coordinated Convex Functions

M. Emin Ozdemir, Cetin Yildiz, Ahmet Ocak Akdemir

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.

math.CA2011★ 21 cited

On Some New Hadamard-Type Inequalities for Coordinated Quasi-convex Functions

M. Emin Ozdemir, Cetin Yildiz, Ahmet Ocak Akdemir

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…

math.CA2011

On Some Hadamard-Type Inequalities for Convex Functions On A Rectanguler Box

M. E. Ozdemir, Ahmet Ocak Akdemir

In this paper some Hadamard-type inequalities for convex functions of 3-variables on a rectanguler box are given. We also define a mapping related to convex functions on a rectangu…

math.CA2011★ 49 cited

On (h-m)-Convexity and Hadamard-Type Inequalities

M. E. Ozdemir, Ahmet Ocak Akdemir, Erhan Set

In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove som…

math.CA2011★ 3 cited

New Inequalities for Hermite-Hadamard and Simpson Type and Applications

M. E. Ozdemir, Cetin Yildiz

In this paper, we obtain new bounds for the inequalities of Simpson and Hermite-Hadamard type for functions whose second derivatives absolute values are P-convex. These bounds can…

math.CA2011★ 4 cited

On the Simpson's Inequality for Co-ordinated Convex Functions

M. Emin Ozdemir, Ahmet Ocak Akdemir, Havva Kavurmaci +1

In this paper, a new lemma is proved and inequalities of Simpson type are established for co-ordinated convex functions and bounded functions.