带节制分式积分的米尔恩型不等式综合研究

IF 1.7 4区数学 Q1 Mathematics Boundary Value Problems Pub Date : 2024-04-10 DOI:10.1186/s13661-024-01855-1

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

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引用次数: 0

摘要

在有节制分数积分的框架内，我们获得了可微凸函数的基本特征。利用这一特性，我们推导出分数米尔恩不等式的若干修正，为钢化分数积分领域提供了新的扩展。研究全面考察了重要的函数类别，包括凸函数、有界函数、Lipschitzian 函数和有界变异函数。

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

In 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.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.