A comprehensive study on Milne-type inequalities with tempered fractional integrals

Author:

Haider Wali,Budak Hüseyin,Shehzadi Asia,Hezenci Fatih,Chen Haibo

Abstract

AbstractIn the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of tempered fractional integrals. The research comprehensively examines significant functional classes, including convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation.

Publisher

Springer Science and Business Media LLC

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Analysing Milne-type inequalities by using tempered fractional integrals;Analysis and Mathematical Physics;2024-08-14

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