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相关论文: On Hermite Hadamard-type inequalities for strongly…

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In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m-convex. New bounds and estimations are obtained. Applications…

经典分析与常微分方程 · 数学 2011-12-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Merve Avci

Inspired by the recent work by R.Pal et al., we give further refined inequalities for a convex Riemann integrable function, applying the standard Hermite-Hadamard inequality. Our approach is different from their one in \cite{PSMA2016}. As…

经典分析与常微分方程 · 数学 2020-04-08 Shigeru Furuichi , Nicuşor Minculete

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

经典分析与常微分方程 · 数学 2017-11-28 Khaled Mehrez , Praveen Agarwal

In this paper we introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.

泛函分析 · 数学 2014-07-10 Amir Ghasem Ghazanfari

In this paper, the author established Hermite-Hadamard's inequalities for harmonically convex functions via fractional integrals and obtained some Hermite-Hadamard type inequalities of these classes of functions.

经典分析与常微分方程 · 数学 2013-12-30 Imdat Iscan

Some new Hermite-Hadamard's inequalities for h-convex functions are proved, generalizing and unifying a number of known results. Some new applications for special Means of real numbers are also derived.

经典分析与常微分方程 · 数学 2015-11-18 Muhammad Iqbal , Muhammad Muddassar , Muhammad Iqbal Bhatti

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

经典分析与常微分方程 · 数学 2015-04-20 Imdat Iscan

In this paper, we establish new some Hermite-Hadamard's type inequalities of convex functions of 2-variables on the co-ordinates.

经典分析与常微分方程 · 数学 2013-04-03 M. Z. Sarikaya , E. Set , M. E. Ozdemir , S. S. Dragomir

In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.

经典分析与常微分方程 · 数学 2012-03-22 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.

经典分析与常微分方程 · 数学 2010-11-09 Cetin Yildiz , Mustafa Gurbuz , Ahmet Ocak Akdemir

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 identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like type for functions…

经典分析与常微分方程 · 数学 2013-10-21 İmdat İşcan

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.

经典分析与常微分方程 · 数学 2012-03-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

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, we establish Hermite-Hadamard inequality for interval-valued convex function on the co-ordinates on the rectangle from the plane. We also present Hermite-Hadamard inequality for the product of interval-valued convex functions…

泛函分析 · 数学 2019-12-30 Dafang Zhao , Muhammad Aamir Ali , Ghulam Murtaza

Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another. In…

泛函分析 · 数学 2020-03-25 M. Sababheh , S. Furuichi , H. R. Moradi

In this paper we establish some estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved.

经典分析与常微分方程 · 数学 2011-03-11 Cetin Yildiz , Ahmet Ocak Akdemir , Merve Avci

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, 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 the paper, the authors introduce a notion "$(\alpha,m)$-GA-convex functions" and establish some integral inequalities of Hermite-Hadamard type for $(\alpha,m)$-GA-convex functions.

经典分析与常微分方程 · 数学 2014-12-02 Ai-Ping Ji , Tian-Yu Zhang , Feng Qi