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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 investigate three specific subclasses of Ma-Minda type convex functions: namely, convex functions of order $\alpha$, Janowski convex functions, and Robertson functions of normalized analytic functions defined in the open…

Complex Variables · Mathematics 2026-03-19 Md Firoz Ali , Lokenath Thakur

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are s-convex and s-concave.

Functional Analysis · Mathematics 2012-10-29 M. Emin Özdemir , Merve Avci Ardic

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 establish some estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved.

Classical Analysis and ODEs · Mathematics 2011-03-11 Cetin Yildiz , Ahmet Ocak Akdemir , Merve Avci

In this paper, we establish some new inequalities for class of SX(h,I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.

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

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

In this paper, some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.

Classical Analysis and ODEs · Mathematics 2013-07-23 İmdat İşcan

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 define \varphi_{h,m}-convex functions and prove some inequalities for this class.

Functional Analysis · Mathematics 2012-05-23 M. E. Özdemir , M. Avci

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -($\alpha$?;m))-convex.The generalized…

Functional Analysis · Mathematics 2013-04-11 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this paper, some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.

Classical Analysis and ODEs · Mathematics 2013-07-24 Imdat Iscan

In this paper, the notation of strongly log-convex functions with respect to c>0 is introduced and versions of Hermite Hadamard-type inequalities for strongly logarithmic convex functions are established.

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

In this paper, firstly we have established Hermite-Hadamard's inequalities for s-convex functions in the second sense and m-convex functions via fractional integrals. Secondly, a Hadamard type integral inequality for the fractional…

Classical Analysis and ODEs · Mathematics 2011-12-30 Erhan Set , M. Zeki Sarikaya , M. Emin Özdemir , Hüseyin Yıldırım

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 some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality.…

Classical Analysis and ODEs · Mathematics 2014-09-19 Erhan Set , Imdat Iscan , M. Zeki Sarikaya , M. Emin Ozdemir

In this paper, we obtain several inequalities of Ostrowski type that the absolute values of n-time differntiable functions are convex.

Functional Analysis · Mathematics 2014-02-21 M. Emİn Özdemİr , ÇEtİn Yildiz

Authors introduce the concept of harmonically $(s,m)$-convex functions in second sense in \cite{II}.In this article, we establish some Hermite-Hadamard type inequalities of this class of functions.

Classical Analysis and ODEs · Mathematics 2016-04-29 Imran Abbas Baloch , İmdat İşcan

We study multivariate entire functions and polynomials with non-negative coefficients. A class of {\bf Strongly Log-Concave} entire functions, generalizing {\it Minkowski} volume polynomials, is introduced: an entire function $f$ in $m$…

Combinatorics · Mathematics 2009-05-14 Leonid Gurvits

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.

Functional Analysis · Mathematics 2012-10-24 M. Emin Özdemir , Merve Avci Ardic