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In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and ({\alpha},m)-convex functions via Riemann-Liouville fractional integrals.

泛函分析 · 数学 2012-01-30 M. Emin Özdemir , Merve Avcı , A. Ocak Akdemir , Alper Ekinci

In the paper, the authors establish some new Hermite-Hadamard type inequalities for functions whose first derivatives are of convexity and apply these inequalities to construct inequalities of special means.

经典分析与常微分方程 · 数学 2015-12-16 Feng Qi , Tian-Yu Zhang , Bo-Yan Xi

In this paper some Hadamard-type inequalities for convex functions of 3-variables on a rectanguler box are given. We also define a mapping related to convex functions on a rectanguler box.

经典分析与常微分方程 · 数学 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir

In this paper, we establish several new inequalities for n- time differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.

泛函分析 · 数学 2014-04-22 M. Emin Ozdemir , Cetin Yildiz

The main aim of the present note is to prove new Hadamard like integral inequalities for the product of the convex functions.

经典分析与常微分方程 · 数学 2011-08-23 Sahin Emrah Amrahov

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…

泛函分析 · 数学 2013-04-10 Muhammad Muddassar , Muhammad Iqbal Bhatti , Wajeeha Irshad

In this paper, first we have established Hermite- Hadamard's inequalities for preinvex functions via fractional integrals. Second we extend some estimates of the right side of a Hermite- Hadamard type inequality for preinvex functions via…

经典分析与常微分方程 · 数学 2014-03-04 Imdat Iscan

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.…

经典分析与常微分方程 · 数学 2014-09-19 Erhan Set , Imdat Iscan , M. Zeki Sarikaya , M. Emin Ozdemir

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.

经典分析与常微分方程 · 数学 2012-02-13 Mevlut Tunc , Huseyin Yildirim

This paper is devoted to a generalization of a Hadamard type inequality for the permanent of a complex square matrix. Our proof is based on a non-trivial extension of a technique used in Carlen, Lieb and Loss (Methods and Applications of…

经典分析与常微分方程 · 数学 2019-02-28 Bero Roos

We obtain Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions.

经典分析与常微分方程 · 数学 2016-03-15 Roman Veprintsev

We obtain new inequalities with alternating signs of H\"{o}lder and Minkowski type.

经典分析与常微分方程 · 数学 2015-06-10 Petr Chunaev

New identity for fractional integrals have been defined. By using of this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the…

泛函分析 · 数学 2012-02-03 M. Emin Ozdemir , Merve Avci , Havva Kavurmaci

We investigate several instances of the Hadamard inequality in the mean in two dimensions. As a consequence, we prove the uniqueness of minimizers of an integral functional with a polyconvex integrand, subject to mixed Dirichlet and Neumann…

偏微分方程分析 · 数学 2026-04-14 Jonathan Bevan , Martin Kružík , Jan Valdman

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

经典分析与常微分方程 · 数学 2014-08-24 M. Emin Özdemir , ÇEtin Yildiz , Havva Kavurmaci

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].

泛函分析 · 数学 2012-12-10 Havva Kavurmaci , Mevlut Tunc

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.

经典分析与常微分方程 · 数学 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir , Erhan Set

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…

经典分析与常微分方程 · 数学 2015-06-02 Bo-Yan Xi , Feng Qi

In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev system.

经典分析与常微分方程 · 数学 2012-12-06 Judit Makó , Zsolt Páles

In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means of…

经典分析与常微分方程 · 数学 2010-05-06 M. Z. Sarikaya , E. Set , M. E. Ozdemir