Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions

Tian-Yu Zhang; Bai-Ni Guo

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Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions

机译：n次可微函数的Hermite-Hadamard型积分不等式的一些推广

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摘要

In the paper, by establishing two integral identities and H?lder integral inequality, the authors generalize some integral inequalities of Hermite-Hadamard type for n-time differentiable functions on a closed interval.

机译：在本文中，通过建立两个积分恒等式和Hilder积分不等式，作者对闭合区间上的n次可微函数推广了Hermite-Hadamard型的一些积分不等式。

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《Turkish Journal of Analysis and Number Theory》 |2015年第2期|共6页
作者
Tian-Yu Zhang; Bai-Ni Guo;
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中图分类数学;
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1. Some Hermite-Hadamard type integral inequalities whose n-times differentiable functions are s-logarithmically convex functions [J] . Humaira Kalsoom, Sabir Hussain Punjab University Journal of Mathematics . 2019,第10期

机译：n次可微函数是s对数凸函数的一些Hermite-Hadamard型积分不等式
2. On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable m- and (α, m)-Logarithmically Convex Functions [J] . E. Momoniat, M. A. Latif, S. S. Dragomir Filomat . 2016,第11期

机译：关于n次可微的m和（α，m）对数凸函数的Hermite-Hadamard型积分不等式
3. Generalizations of Hermite-Hadamard inequality to n-time differentiable functions which are s -convex in the second sense [J] . Wei-Dong Jiang, Yun Hua, Da-Wei Niu, Analysis . 2012,第3期

机译：Hermite-Hadamard不等式对第二意义上的s-凸的n次可微函数的推广
4. On New Fractional Hermite-Hadamard Type Inequalities for n-time Differentiable Quasi-Convex Functions and PFunctions [C] . Erhan Set, M. Emin ?zdemir, E. Aykan Alan International Conference on Advances in Natural and Applied Sciences . 2017

机译：关于N-Time可分辨率准凸函数和PFunction的新的分数Hermite-Hadamard型不等式
5. Identities, inequalities, Parseval type relations for integral transforms and fractional integrals [D] . Yurekli, Osman 1988

机译：积分变换和分数积分的恒等式，不等式，Parseval类型关系
6. Generalizations on Some Hermite-Hadamard Type Inequalities for Differentiable Convex Functions with Applications to Weighted Means [O] . Banyat Sroysang -1

机译：可微凸函数的某些Hermite-Hadamard型不等式的推广及其在加权均值上的应用
7. Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions [O] . Tian-Yu Zhang, Bai-Ni Guo 2016

机译：对于N-Time可微分功能的Hermite-Hadamard类型积分不等式的一些概括

Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions

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