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In this paper, we establish some new Hadamard type inequalities for s-logarithmically convex functions in the second sense via fractional integrals by using Lemma 1 which has been proved by Sarikaya et al. in the paper [3].

Functional Analysis · Mathematics 2012-12-10 Havva Kavurmaci , Mevlut Tunc

In this paper, we discuss the concepts of bifunction and geodesic convexity for vector valued functions on Hadamard manifold. The Hadamard manifold is a particular type of Riemannian manifold with non-positive sectional curvature. Using…

Optimization and Control · Mathematics 2024-05-27 Nagendra Singh , Akhlad Iqbal , Shahid Ali

In this paper, some Hermite-Hadamard type inequalities are established for harmonically $(\alpha,m)$-convex functions via fractional integrals and some Hermite-Hadamard type inequalities are obtained for these classes of functions.

Classical Analysis and ODEs · Mathematics 2015-05-12 Mehmet Kunt , İmdat İşcan

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 $s$-$(\alpha,m)$-convex.The generalised integral…

Functional Analysis · Mathematics 2013-04-10 Muhammad Muddassar , Muhammad Iqbal Bhatti , Wajeeha Irshad

In this study, we define g-convex dominated functions on the co-ordinates and prove some Hadamard-type, Fejer-type inequalities for this new class of functions. We also give some results related to the functional H.

Classical Analysis and ODEs · Mathematics 2013-06-04 M. Emin Özdemir , Alper Ekinci , A. Ocak Akdemir

The author introduces the concept of harmonically ({\alpha},m)-convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions.

Classical Analysis and ODEs · Mathematics 2015-04-20 Imdat Iscan

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 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

Some trapezoid and mid-point type inequalities related to the Hermite-Hadamard inequality for the mappings defined on a ball in the space are obtained.

General Mathematics · Mathematics 2019-05-28 M. Rostamian Delavar

In this paper, we obtain some new matrix inequalities involving Hadamard product. Also some Hadamard product inequalities for accretive matrices involving the matrix means, positive unital linear maps and matrix concave functions are…

Functional Analysis · Mathematics 2023-08-22 A. Sheikhhosseini , S. Malekinejad , M. Khosravi

In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are given.

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

This paper addresses the study and characterizations of variational convexity of extended-real-valued functions on Banach spaces. This notion has been recently introduced by Rockafellar, and its importance has been already realized and…

Optimization and Control · Mathematics 2023-08-29 Pham Duy Khanh , Vu Vinh Huy Khoa , Boris S. Mordukhovich , Vo Thanh Phat

In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard type inequality for nonconvex functions whose second derivatives absolute values are \phi-convex, log-\phi-convex, and quasi-\phi-convex.

Functional Analysis · Mathematics 2013-12-04 Mehmet Zeki Sarikaya , Hakan Bozkurt , Mehmet Eyüp Kiris

In this paper several inequalities of the right-hand side of Hermite-Hadamard inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are ({\alpha},m)-convex.Some applications to special…

Classical Analysis and ODEs · Mathematics 2013-04-19 Imdat Işcan

The aim of this paper is to generalize the Hermite--Hadamard inequality for functions convex on the coordinates. Our composite result generalizes the result of Dragomir in \cite{Drag}. Many other interesting inequalities can be derived from…

Classical Analysis and ODEs · Mathematics 2018-01-01 Eze R. Nwaeze

In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the $n$-th order are $(\alpha,m)$-convex and deduce some known results. As applications of the newly-established…

Classical Analysis and ODEs · Mathematics 2014-09-05 Feng Qi , Muhammad Amer Latif , Wen-Hui Li , Sabir Hussain

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 papaer, we put forward some new definitions and integral inequalities by using fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2012-11-13 M. Emin Ozdemir , Mevlut Tunc , Mustafa Gurbuz

In this paper we derive some Edmundson-Lah-Ribari\v{c} type inequalities for positive linear functionals and 3-convex functions. Main results are applied to the generalized f-divergence functional. Examples with Zipf Mandelbrot law are used…

General Mathematics · Mathematics 2021-01-25 Rozarija Mikić , Đilda Pečarić , Josip Pečarić

We show how the recent improvement of the Hermite-Hadamard inequality can be applied to some (not necessarily convex) planar figures and three-dimensional bodies satisfying some kind of regularity.

Classical Analysis and ODEs · Mathematics 2019-01-03 Monika Nowicka , Alfred Witkowski
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