三次可微Preinvex和Pre拟invex函数的新型积分不等式

H. Kadakal, M. Kadakal, I. Işcan, Giresun University-Giresun-TÜRKİYE Arts
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引用次数: 9

摘要

本文建立了定义在实数集开幂次幂上的函数的一个新的恒等式,并利用该恒等式和Hölder、幂均值积分不等式,给出了函数的幂次幂绝对值为预幂次幂和拟幂次幂次幂的一类新的积分不等式。AMS数学学科分类:26A51, 26D10, 26D15。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New Type Integral Inequalities for Three Times Differentiable Preinvex and Prequasiinvex Functions
In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using the this identity and the Hölder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of third derivatives in absolute value are preinvex and prequasiinvex functions. AMS Mathematics Subject Classification : 26A51, 26D10, 26D15.
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