Relationships between Integral Averages for Absolutely Continuous Functions Whose Derivative are GA-Convex Functions

机译：积分平均值的绝对连续函数之间的关系，其衍生物是GA-凸函数的

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摘要

We have obtained a new identity for GA-convex functions. Taking advantage of this identity, we derived a new estimate for the difference between the integral averages and its mean over a subinterval for the GA convex functions.

机译：我们已经获得了GA-CONVEX功能的新标识。利用这种身份，我们派生了一个新的估计，对整体平均值之间的差异及其在GA凸函数的子内部的均值之间的差异。

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《International Conference on Advances in Natural and Applied Sciences》|2017年|1 volume (various pagings) :|共5页
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Selahattin Maden; Sercan Turhan; Huriye Kadakal;
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中图分类 P31-532;
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obtained; new identity; GA convex functions;

机译：获得;新的身份;GA凸函数;

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专利

1. Comparing two integral means for absolutely continuous functions whose absolute value of the derivative are convex and applications [J] . Dah-Yan Hwang, Silvestru Sever Dragomir Applied mathematics and computation . 2014,第Null期

机译：比较其导数的绝对值为凸的绝对连续函数的两个积分方法及其应用
2. Comparing two integral means for absolutely continuous functions whose absolute value of the derivative are convex and applications [J] . Dah-Yan Hwang, Silvestru Sever Dragomir Applied mathematics and computation . 2014,第Null期

机译：比较其导数的绝对值为凸的绝对连续函数的两个积分方法及其应用
3. SOME RESULTS ON COMPARING TWO INTEGRAL MEANS FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS [J] . DAH-YAN HWANG, SILVESTRU SEVER DRAGOMIR Bulletin of the Australian Mathematical Society . 2014,第2期

机译：绝对连续函数比较两种积分法的一些结果及应用
4. Relationships between Integral Averages for Absolutely Continuous Functions Whose Derivative are GA-Convex Functions [C] . Selahattin Maden, Sercan Turhan, Huriye Kadakal International Conference on Advances in Natural and Applied Sciences . 2017

机译：积分平均值的绝对连续函数之间的关系，其衍生物是GA-凸函数的
5. Absolutely continuous invariant measures for a class of meromorphic functions. [D] . Obeid, Nabil. 1998

机译：一类亚纯函数的绝对连续不变测度。
6. INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE [O] . Witold M. Bogdanowicz 1965

机译：线性连续算子从Lebesgue-Bochner可加函数空间到任何Banach空间的积分表示
7. Some Simpson type integral inequalities for functions whose third derivatives are (α, m)- GA-convex functions [O] . YuJiao Li, TingSong Du 2016

机译：函数的一些simpson型积分不等式，其三阶导数为（α，m） - Ga-凸函数
8. Approximations to Function Values and First Derivatives from Sets of Integral-Averaged Function Values [R] . Arnurius, D. E., Crume, E. C. 1982

机译：从积分平均函数值集逼近函数值和一阶导数

Relationships between Integral Averages for Absolutely Continuous Functions Whose Derivative are GA-Convex Functions

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