Fractional Simpson-like Inequalities with Parameter for Differential s-tgs-Convex Functions

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-10-24 DOI:10.3390/fractalfract7110772

Meriem Merad, Badreddine Meftah, Hamid Boulares, Abdelkader Moumen, Mohamed Bouye

引用次数: 0

Abstract

In this paper, we first prove a new parameterized identity. Based on this identity we establish some parametrized Simpson-like type symmetric inequalities, for functions whose first derivatives are s-tgs-convex via Reimann–Liouville frational operators. Some special cases are discussed. Applications to numerical quadrature are provided.

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微分s-tgs-凸函数的带参数的分数阶类simpson不等式

本文首先证明了一个新的参数化恒等式。基于这个恒等式，我们利用reimmann - liouville分数算子，对一阶导数为s-tgs-凸的函数，建立了一些参数化的类simpson型对称不等式。讨论了一些特殊情况。给出了数值正交的应用。

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

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.