English
Related papers

Related papers: On Some New Integral Inequalities for K_{s}^2

200 papers

We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the…

Classical Analysis and ODEs · Mathematics 2017-04-04 Khaled Mehrez , Praveen Agarwal

In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of…

Classical Analysis and ODEs · Mathematics 2015-06-02 Bo-Yan Xi , Feng Qi

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 properties of this mapping.

Classical Analysis and ODEs · Mathematics 2011-07-21 M. Emin Ozdemir , Cetin Yildiz , Ahmet Ocak Akdemir

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

Classical Analysis and ODEs · Mathematics 2017-11-28 Khaled Mehrez , Praveen Agarwal

In this paper, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral…

Functional Analysis · Mathematics 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this paper, we establish two new convex dominated function and then we obtain new Hadamard type inequalities related to this denitions.

Classical Analysis and ODEs · Mathematics 2012-02-10 M. Emin Ozdemir , Mevlut Tunc , Havva Kavurmaci

In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h-s)_{1,2}-convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.

Classical Analysis and ODEs · Mathematics 2012-03-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

In this paper, we establish various inequalities for some mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose absolute values belong to the class K?;s m;1 and K?;s m;2.

Classical Analysis and ODEs · Mathematics 2013-08-20 Muhammad Muddassar , Ahsan Ali

In this paper, we establish several new inequalities for twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya , A. Saglam , H. Yildirim

In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense and concave.

Classical Analysis and ODEs · Mathematics 2013-04-01 Erhan Set , M. Emin Ozdemir , M. Zeki Sarikaya , Filiz Karakoc

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 some Hadamard's type inequalities.

Classical Analysis and ODEs · Mathematics 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir , Erhan Set

In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and ({\alpha},m)-convex functions via Riemann-Liouville fractional integrals.

Functional Analysis · Mathematics 2012-01-30 M. Emin Özdemir , Merve Avcı , A. Ocak Akdemir , Alper Ekinci

In this paper, we establish several new inequalities for some twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Classical Analysis and ODEs · Mathematics 2012-06-12 Mehmet Zeki Sarikaya , Huseyin Yildirim

In recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We also introduce the concept of harmonically convex functions on the co-ordinates. Also, we establish…

Classical Analysis and ODEs · Mathematics 2014-04-28 Erhan Set , Imdat Iscan

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 involving product of convex functions and…

Classical Analysis and ODEs · Mathematics 2011-03-28 Ahmet Ocak Akdemir , M. Emin Ozdemir

In this paper, The author introduces the concepts of the GA-s-convex functions in the first sense and second sense and establishes some integral inequalities of Hermite-Hadamard type related to the GA-s-convex functions.

Classical Analysis and ODEs · Mathematics 2013-07-12 Imdat Iscan

In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are ({\alpha},m)- convex.

Classical Analysis and ODEs · Mathematics 2011-08-16 M. Emin Özdemir , Merve Avci , Havva Kavurmaci

In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.

Classical Analysis and ODEs · Mathematics 2012-02-13 Mevlut Tunc , Huseyin Yildirim

In this paper, we established Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works.

Classical Analysis and ODEs · Mathematics 2014-12-03 Erhan Set , Imdat Iscan , Hasan Huseyin Kara

In this paper we establish some new Hermite-Hadamard type inequalities for two operator convex functions of selfadjoint operators in Hilbert spaces.

Functional Analysis · Mathematics 2012-07-05 Amir G. Ghazanfari