应用多重埃代利-科贝尔分式积分算子建立涉及一般函数类别的新不等式

Asifa Tassaddiq, R. Srivastava, Rabab Alharbi, R. Kasmani, Sania Qureshi
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引用次数: 0

摘要

本研究旨在利用多重埃尔德利-科贝尔(E-K)分式积分算子,发展广义分式积分不等式。利用一组在有限区间 a≤t≤x 内 j,(j∈N) 正连续且衰减的函数,Fox-H 函数参与建立新颖的分式积分不等式。由于 Fox-H 函数是最一般的特殊函数,因此所得到的不等式与现有文献相比具有足够的广泛性和重要性,从而产生了新颖独特的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions
This research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j∈N) positively continuous and decaying functions in the finite interval a≤t≤x, the Fox-H function is involved in establishing new and novel fractional integral inequalities. Since the Fox-H function is the most general special function, the obtained inequalities are therefore sufficiently widespread and significant in comparison to the current literature to yield novel and unique results.
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