利用回火分式积分分析米尔恩型不等式

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-08-14 DOI:10.1007/s13324-024-00958-3

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

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引用次数: 0

摘要

在这项研究中，我们定义了有节制分式积分框架下可微函数的基本特征。利用这一特征，我们推导出分数米尔恩型不等式的若干修正。我们提供了回火分数积分域中米尔恩型不等式的新扩展。研究强调了重要的函数类别，包括凸函数、有界函数、Lipschitzian 函数和有界变化函数。

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Analysing Milne-type inequalities by using tempered fractional integrals

In this research, we define an essential identity for differentiable functions in the framework of tempered fractional integral. By utilizing this identity, we deduce several modifications of fractional Milne-type inequalities. We provide novel expansions of Milne-type inequalities in the domain of tempered fractional integrals. The investigation emphasises important functional categories, including convex functions, bounded functions, Lipschitzian functions, and functions with bounded variation.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.