GENERALIZATION OF THE $n^{th}$-ORDER OPIAL'S INEQUALITY IN $(p,q)$-CALCULUS

Advances in Mathematics: Scientific Journal Pub Date : 2022-10-15 DOI:10.37418/amsj.11.10.5

M. M. Iddrisu, B. Abubakari, J. López-Bonilla

引用次数: 0

Abstract

We establish the generalized $n^{th}$-Order Opial's integral inequality via (p,q)-calculus with some extensions. The other analytical tools used to establish the results were $(p,q)$-Cauchy repeated integration formula and $(p,q)$-Cauchy-Schwarz's integral inequality.

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$(p,q)$-微积分中$n^{th}$-阶OPIAL不等式的推广

利用(p,q)-微积分，给出了广义的$n^{th}$-阶Opial的积分不等式。用于建立结果的其他分析工具是$(p,q)$-Cauchy重复积分公式和$(p,q)$-Cauchy- schwarz积分不等式。

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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来源期刊

Advances in Mathematics: Scientific Journal

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