Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values Are s-Convex

M. Emin ?zdemir; Alper Ekinci

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Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values Are s-Convex

机译：绝对值导数为s-凸的函数的一些新积分不等式

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摘要

In this paper, we prove some new inequalities for the functions whose derivatives absolute values are s-convex by dividing the interval to equal even sub-intervals. We obtain some new results involving intermediate values of in by using some classical inequalities like Hermite-Hadamard, H?lder and Power-Mean.

机译：在本文中，我们通过将间隔划分为相等的偶数子间隔，证明了其导数绝对值为s-凸的函数的一些新的不等式。通过使用一些经典的不等式，如Hermite-Hadamard，H？lder和Power-Mean，我们获得了一些新的结果，涉及in的中间值。

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《Turkish Journal of Analysis and Number Theory》 |2019年第3期|共7页
作者
M. Emin ?zdemir; Alper Ekinci;
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中图分类数学;
关键词
s-convex functionsHermite-Hadamard Inequalitypower-mean inequalityh?lder inequality;

机译：s凸函数埃尔米特-哈达玛不等式幂-均值不等式h？der不等式;

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专利

1. Some generalized Hermite-Hadamard type inequalities involving fractional integral operator for functions whose second derivatives in absolute value are s-convex [J] . Abdurrahman Gozpinar, Erhan Set, Sever S. Dragomir Acta Mathematica Universitatis Comenianae . 2019,第1期

机译：一些广义的Hermite-Hadamard类型不等式，涉及分数积分运算符，用于绝对值的第二衍生物是S-convex
2. On the Generalization of Some Hermite-Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals [J] . Chen F. X. Ukrainian mathematical journal . 2019,第12期

机译：关于一些Hermite-HATAMARD的概括不等式，通过分数积分与第二衍生物的凸起绝对值的功能
3. On Some New Inequalities of Hermite-Hadamard Type for Functions Whose Derivatives are s-Convex in the Second Sense in the Absolute Value [J] . Latif M. A. Ukrainian mathematical journal . 2016,第10期

机译：关于导数为绝对绝对值的第二意义上的s凸函数的Hermite-Hadamard类型的一些新不等式
4. On New Inequalities of Hermite Hadamard Type for Functions Whose Second Derivatives in Absolute Value Are s-Convex [C] . Erhan Set, Necla Korkut International Conference on Advances in Natural and Applied Sciences . 2016

机译：关于Hermite Hadamard类型的新不等式，其第二衍生物绝对值的函数是S-Convex
5. Morse Numbers and Inequalities and Perfect Morse Functions for Integral Orbifold Borel Homology [D] . Corrigan, Sean. 2017

机译：莫尔斯数量和不平等和完善的莫尔斯函数，用于整体orbifold Borel同源性
6. Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex [O] . Shan-He Wu, Banyat Sroysang, Jin-Shan Xie, -1

机译：三阶导数绝对值为准凸的函数的Hermite-Hadamard类型的参数化不等式
7. Generalized Hermite -Hadamard type integral inequalities for functions whose 3rd derivatives are s-convex [O] . Mehmet Zeki Sarikaya, Hüseyin Budak 2014

机译：广义Hermite -Hadamard型三衍生物是S-CONVEX的函数的积分不等式

Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values Are s-Convex

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