NEW GENERALIZATION OF REVERSE MINKOWSKI’S INEQUALITY FOR FRACTIONAL INTEGRAL

Tariq A. Aljaaidi, D. Pachpatte
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引用次数: 6

Abstract

In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions. Further, we establish some new fractional inequalities related to the reverse Minkowski type inequalities via Riemann-Liouville fractional integral. Using this fractional integral operator, some special cases of reverse Minkowski type are also discussed.
分数阶积分反闵可夫斯基不等式的新推广
本文利用Riemann-Liouville分数阶积分算子引入了Minkowski型分数阶积分不等式。我们用两个正函数代替闵可夫斯基不等式上出现的常数。在此基础上,利用Riemann-Liouville分数积分建立了与Minkowski型反不等式相关的新的分数不等式。利用这一分数阶积分算子,讨论了逆闵可夫斯基型的一些特殊情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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