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Related papers: Simpson Type Inequalities via $\varphi$-Convexity

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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, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related…

Classical Analysis and ODEs · Mathematics 2014-07-07 Mevlut Tunc , Sevil Balgecti

Some inequalities for different types of convexity are established.

Classical Analysis and ODEs · Mathematics 2013-09-27 Merve Avci Ardic

In this paper, new integral inequalities of Hadamard type involving several differentiable \Phi-r-convex functions are given.

Classical Analysis and ODEs · Mathematics 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Hakan Bozkurt

In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions by using Riemann-Liouville fractional integrals. Some applications of our results to P.D.F.'s are given.

Classical Analysis and ODEs · Mathematics 2013-06-04 Mevlut Tunc , Ahmet Ocak Akdemir

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 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 several new convex dominated functions and then we obtain new Hadamard type inequalities.

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

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, the author established Hermite-Hadamard's inequalities for harmonically convex functions via fractional integrals and obtained some Hermite-Hadamard type inequalities of these classes of functions.

Classical Analysis and ODEs · Mathematics 2013-12-30 Imdat Iscan

In \cite{II}, authors introduced the concept of harmonically $(s,m)$-convex functions in second sense which unifies different type of convexities and is more general notion of Harmonic convexity. In this paper, authors obtain new estimates…

Classical Analysis and ODEs · Mathematics 2016-02-17 Imran Abbas Baloch , İmdat İscan

In this paper, we establish several inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

Classical Analysis and ODEs · Mathematics 2012-01-25 M. Emin Ozdemir , Havva Kavurmaci , Cetin Yildiz

Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value…

Classical Analysis and ODEs · Mathematics 2022-02-09 Yamilet Quintana , José M. Rodríguez , José M. Sigarreta Almira

In this paper, we obtain some new inequalities for ({\alpha},m)-convex functions. The analysis used in the proofs is fairly elementary and based on the use of Power-mean inequality.

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

In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.

Functional Analysis · Mathematics 2011-04-01 Erhan Set , M. Emin Ozdemir , Sever S. Dragomir

We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices

Classical Analysis and ODEs · Mathematics 2014-01-06 D. Śliwińska , Sz. Wasowicz

In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.

Classical Analysis and ODEs · Mathematics 2012-02-10 M. Emin Ozdemir , Alper Ekinci , Ahmet Ocak Akdemir

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 deal with improvement of Jensen, Jensen-Steffensen's and Jensen's functionals related inequalities for uniformly convex, phi-convex and superquadratic functions.

Functional Analysis · Mathematics 2025-01-03 Shoshana Abramovich

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
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