中文
相关论文

相关论文: Hermite-Hadamard and Hermite-Hadamard-Fej\'er type…

200 篇论文

The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel. These results allow us to obtain a new class…

泛函分析 · 数学 2018-12-27 Bashir Ahmad , Ahmed Alsaedi , Mokhtar Kirane , Berikbol T. Torebek

New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann…

经典分析与常微分方程 · 数学 2012-08-09 Imdat Iscan

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 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, 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, 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

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.

经典分析与常微分方程 · 数学 2015-05-12 Mehmet Kunt , İmdat İşcan

In this paper, we established Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works.

经典分析与常微分方程 · 数学 2014-12-03 Erhan Set , Imdat Iscan , Hasan Huseyin Kara

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…

经典分析与常微分方程 · 数学 2011-12-30 Erhan Set , M. Zeki Sarikaya , M. Emin Özdemir , Hüseyin Yıldırım

In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives…

经典分析与常微分方程 · 数学 2013-08-01 Imdat Iscan

In this paper we introduce a new fractional integral that generalizes six existing fractional integrals, namely, Riemann-Liouville, Hadamard, Erd\'elyi-Kober, Katugampola, Weyl and Liouville fractional integrals in to one form. Such a…

经典分析与常微分方程 · 数学 2016-12-28 Udita N. Katugampola

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 the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc. These results give us an elegant method for…

泛函分析 · 数学 2016-12-02 Mea Bombardelli , Ludmila Nikolova , Sanja Varošanec

In this paper, it is a fuction that is a GA-convex differentiable for a new identity. As a result of this identity, some new and general integral inequalities for differentiable GA-convex functions are obtained.

经典分析与常微分方程 · 数学 2016-08-06 İmdat İşcan , Sercan Turhan

In this paper, the authors gives a new identity for Hadamard fractional integrals. By using of this identity, the authors obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (alpha?;m)-GA-convex…

经典分析与常微分方程 · 数学 2015-05-14 Mehmet Kunt , Imdat Iscan

It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality…

泛函分析 · 数学 2012-07-16 Szymon Wasowicz , Alfred Witkowski

In this paper, we consider a new class of convex functions which is called $\lambda$-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable $\lambda$-preinvex functions via Fractional Integrals. Some…

经典分析与常微分方程 · 数学 2016-03-08 Abdullah Akkurt , M. Esra Yildirim , Hüseyin Yildirim

In this paper, the author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive reals…

经典分析与常微分方程 · 数学 2014-05-16 Imdat Iscan

The main objective of present investigation to obtain some Minkowski-type fractional integral inequalities using generalised proportional Hadamard fractional integral operators which is introduced by Rahman et al in the paper (certain…

综合数学 · 数学 2020-07-22 Asha B. Nale , Satish K. Panchal , Vaijanath L. Chinchane

In this article, we define a new class of convexity called generalized $(h-m)$-convexity, which generalizes $h$-convexity and $m$-convexity on fractal sets $\mathbb{R}^{\alpha}$ $(0<\alpha\leq 1)$. Some properties of this new class are…

泛函分析 · 数学 2021-05-05 Ohud Almutairi , Adem Kiliçman