Fractional version of Ostrowski-type inequalities for strongly p-convex stochastic processes via a k-fractional Hilfer-Katugampola derivative

被引：3

作者：

Qi, Hengxiao ^{[1
,2
]}

Saleem, Muhammad Shoaib ^{[3
]}

Ahmed, Imran ^{[4
]}

Sajid, Sana ^{[3
]}

Nazeer, Waqas ^{[5
]}

机构：

[1] Shandong Adm Coll, Party Sch Shandong Prov Comm Communist Party China, Jinan 250014, Peoples R China

[2] Res Ctr Theoret Syst Socialism Chinese Characteris, Jinan 250014, Peoples R China

[3] Univ Okara, Dept Math, Okara, Pakistan

[4] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan

[5] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

Convex stochastic processes; Hermite-Hadamard inequality; Ostrowski inequality; HERMITE-HADAMARD;

D O I：

10.1186/s13660-022-02901-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present research, we introduce the notion of convex stochastic processes namely; strongly p-convex stochastic processes. We establish a generalized version of Ostrowski-type integral inequalities for strongly p-convex stochastic processes in the setting of a generalized k-fractional Hilfer-Katugampola derivative by using the Holder and power-mean inequalities. By using our main results, we derived some known results as special cases and many well-known existing results are also recaptured. It is assumed that this research will offer new guidelines in fractional calculus.

引用

页数：19

共 37 条

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[37] Ostrowski type inequalities for k-β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta$$\end{document}-convex functions via Riemann–Liouville k-fractional integrals
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