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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…

经典分析与常微分方程 · 数学 2022-08-02 Berhail Amel , Meftah Badreddine

In this article, we prove that convex functions and log-convex functions obey certain general refinements that lead to several refinements and reverses of well known inequalities for matrices, including Young's inequality, Heinz inequality,…

泛函分析 · 数学 2016-06-28 Mohammad Sababheh

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

经典分析与常微分方程 · 数学 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Hakan Bozkurt

In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.

经典分析与常微分方程 · 数学 2011-07-21 M. Emin Ozdemir , Cetin Yildiz , Ahmet Ocak Akdemir

In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions. It is shown that such inequalities are simple consequences of…

泛函分析 · 数学 2019-10-22 Silvestru Sever Dragomir , Berikbol T. Torebek

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…

经典分析与常微分方程 · 数学 2013-04-19 Imdat Işcan

In this paper some Hadamard_type inequalities for product of convex functions of 2-variables on the co-ordinates are given.

经典分析与常微分方程 · 数学 2011-04-29 M Emin Ozdemir , Ahmet Ocak Akdemir

In the literature, the left-side of Hermite--Hadamard's inequality is called a midpoint type inequality. In this article, we obtain new integral inequalities of midpoint type for Riemann--Liouville fractional integrals of convex functions…

综合数学 · 数学 2020-05-05 Pshtiwan Othman Mohammed

In this paper, we obtain new bounds for the inequalities of Simpson and Hermite-Hadamard type for functions whose second derivatives absolute values are P-convex. These bounds can be much better than some obtained bounds. Some applications…

经典分析与常微分方程 · 数学 2011-03-11 M. E. Ozdemir , Cetin Yildiz

Inequalities play important roles not only in mathematics, but also in other fields, such as economics and engineering. Even though many results are published on Hermite-Hadamard (H-H) type inequalities, new researcher to this fields often…

经典分析与常微分方程 · 数学 2021-11-23 Ohud Almutairi , Adem Kılıçman

In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for prequasiinvex functions via fractional integrals.

经典分析与常微分方程 · 数学 2012-04-05 Imdat Iscan

The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.

经典分析与常微分方程 · 数学 2020-01-01 Pál Burai , Judit Makó , Patrícia Szokol

In this paper, we obtain some Hermite-Hadamard type inequalities for functions whose third derivatives in absolute value are preinvex and prequasiinvex.

泛函分析 · 数学 2013-01-16 M. Emin Ozdemir , Merve Avci Ardic

Various miscellaneous functional inequalities are deduced for the so-called generalized inverse trigonometric and hyperbolic functions. For instance, functional inequalities for sums, difference and quotient of generalized inverse…

经典分析与常微分方程 · 数学 2014-04-23 Árpád Baricz , Barkat Ali Bhayo , Tibor K. Pogány

We study the convexity/concavity properties of the generalized $p$-trigonometric functions in the sense of P. Lindqvist with respect to the power means.

经典分析与常微分方程 · 数学 2012-09-06 Barkat Ali Bhayo , Matti Vuorinen

In this work, we obtain some new generalized weighted trapezoid and Gr\"uss type inequalities on time scales for parameter functions. Our results give a broader generalization of the results due to Pachpatte in \cite{Pach}. In addition, the…

动力系统 · 数学 2017-04-04 Eze R. Nwaeze

In this article, we prove an inner product inequality for Hilbert space operators. This inequality, then, is utilized to present a general numerical radius inequality using convex functions. Applications of the new results include obtaining…

泛函分析 · 数学 2022-07-19 Zahra Heydarbeygi , Mohammad Sababheh , Hamid Reza Moradi

In this paper we defined $r-$convexity on the coordinates and we established some Hadamard-Type Inequalities.

经典分析与常微分方程 · 数学 2025-01-17 Ahmet Ocak Akdemir , M Emin Ozdemir

Recently, the so-called Hermite-Hadamard inequality for (operator) convex functions with one variable has known extensive several developments by virtue of its nice properties and various applications. The fundamental target of this paper…

经典分析与常微分方程 · 数学 2024-05-22 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

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…

经典分析与常微分方程 · 数学 2014-09-05 Feng Qi , Muhammad Amer Latif , Wen-Hui Li , Sabir Hussain