Some generalizations of dynamic Opial-type inequalities in conformable calculus

被引：0
作者：
Khamis, Fatma M. [1 ]
El-Sheikh, M. M. A. [2 ]
Abdeljawad, Thabet [3 ,4 ,5 ,6 ]
Mukheimer, Aiman [3 ]
Ismail, Gamal A. F. [1 ]
机构：
[1] Ain Shams Univ, Fac Women Art Sci & Educ, Dept Math, Cairo, Egypt
[2] Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Shibin Al Kawm, Egypt
[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[5] Gulf Univ Sci & Technol, Ctr Appl Math & Bioinformat CAMB, Hawally 32093, Kuwait
[6] Sefako Makgatho Hlth Sci Univ, Dept Math & Applield Math, ZA-0204 Garankuwa, South Africa
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2024年 / 2024卷 / 01期
关键词：
Opial-type inequality; Dynamic inequality; H & ouml; lder inequality; Conformable fractional calculus; FRACTIONAL CALCULUS;
D O I：
10.1186/s13660-024-03224-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider generalized conformable integrals to establish new Opial-type inequalities. The obtained results mainly depend on H & ouml;lder's inequality, some algebraic inequalities, and a simple consequence of Keller's chain rule on time scales. Our obtained results unify and extend some continuous and discrete inequalities. In the special case alpha=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\alpha = 1$\end{document}, our results cover some well-known inequalities of Opial-type on time scales.
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页数：15
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