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Related papers: Ostrowski type Inequalities via h-convex Functions…

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In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.

Classical Analysis and ODEs · Mathematics 2012-05-25 Mevlut Tunc , Huseyin Yildirim

In this paper, we establish some Simpson type inequalities for functions whose third derivatives in the absolute value are h-convex and (\alpha,m)-convex, respectively.

Classical Analysis and ODEs · Mathematics 2012-10-17 Wenjun Liu

In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numbers are also given.

Classical Analysis and ODEs · Mathematics 2014-02-03 Mevlut Tunc

In this paper, we obtained some inequalities for \phi_{s}-convex function, \phi-Godunova-Levin function, \phi-P-function and log-\phi-convex function. Finally, we defined the class of \phi-quasi-convex functions and we examined some…

Functional Analysis · Mathematics 2012-09-25 Merve Avci Ardic , M. Emin Ozdemir

In this paper, the author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive reals…

Classical Analysis and ODEs · Mathematics 2014-05-16 Imdat Iscan

In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m-convex. New bounds and estimations are obtained. Applications…

Classical Analysis and ODEs · Mathematics 2011-12-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Merve Avci

In this paper, we establish new an inequality of weighted Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya , H. Ogunmez

In this paper, we prove that every continuous $h$-mid-convex with suitable conditions on $h$ is $h$-convex function. Also, we extend Ostrowski theorem, Blumberg-Sierpinski theorem, Bernstein-Doetsch theorem, Mehdi theorem.

Functional Analysis · Mathematics 2024-09-05 Amir Garejelo , Farzollah Mirzapour , Ali Morassaei

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

Classical Analysis and ODEs · Mathematics 2014-01-14 İmdat İscan

In this paper, we establish new some Hermite-Hadamard's type inequalities of convex functions of 2-variables on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2013-04-03 M. Z. Sarikaya , E. Set , M. E. Ozdemir , S. S. Dragomir

In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2012-03-21 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

The aim of this paper is to present some new Fejer-type results for convex functions. Improvements of Young's inequality (the arithmetic-geometric mean inequality) and other applications to special means are pointed as well.

Classical Analysis and ODEs · Mathematics 2012-03-22 N. Minculete , F. -C. Mitroi

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have…

Classical Analysis and ODEs · Mathematics 2013-04-01 Erhan Set

In this paper, we established some new inequalities via s-convex and s-concave functions.

Classical Analysis and ODEs · Mathematics 2012-12-11 Merve Avci Ardic , M. Emin Ozdemir

We obtain new inequalities with alternating signs of H\"{o}lder and Minkowski type.

Classical Analysis and ODEs · Mathematics 2015-06-10 Petr Chunaev

In this paper, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special…

Classical Analysis and ODEs · Mathematics 2022-08-02 Berhail Amel , Meftah Badreddine

In this work, new inequalities connected with the Steffensen's integral inequality for s-convex functions are proved

Classical Analysis and ODEs · Mathematics 2016-04-08 Mohammad W. Alomari

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 develop a basic theory of Orlicz affine and geominimal surface areas for convex and $s$-concave functions. We prove some basic properties for these newly introduced functional affine invariants and establish related…

Metric Geometry · Mathematics 2016-06-07 Umut Caglar , Deping Ye

Convex analysis is fundamental to proving inequalities that have a wide variety of applications in economics and mathematics. In this paper we provide Jensen-type inequalities for functions that are, intuitively, "very" convex. These…

Optimization and Control · Mathematics 2021-08-10 Bar Light