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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…

Classical Analysis and ODEs · Mathematics 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,…

Functional Analysis · Mathematics 2016-06-28 Mohammad Sababheh

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

Classical Analysis and ODEs · Mathematics 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…

Functional Analysis · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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…

General Mathematics · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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.

Functional Analysis · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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…

Dynamical Systems · Mathematics 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…

Functional Analysis · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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…

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