Generalizations of some $ q $-integral inequalities of Hölder, Ostrowski and Grüss type-Reference-Cited by-同舟云学术

Generalizations of some $ q $-integral inequalities of Hölder, Ostrowski and Grüss type

Published:2023 Issue:10 Volume:8 Page:23459-23471
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Shi Da¹,Farid Ghulam²,Elamin Abd Elmotaleb A. M. A.³,Akram Wajida²,Alahmari Abdullah A.⁴,Younis B. A.⁵

Affiliation:

1. School of Computer Science, Chengdu University, Chengdu, China

2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan

3. Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail, Saudi Arabia

4. Department of Mathematical Sciences, Faculty of Applied Science, Umm Al-Qura University, Makkah 21955, Saudi Arabia

5. King Khalid University, College of Arts & Sciences, Saudi Arabia

Abstract

<abstract><p>This paper investigates some well-known inequalities for $ q $-$ h $-integrals. These include Hölder, Ostrowski, Grüss and Opial type inequalities. Refinement of the Hadamard inequality for $ q $-$ h $-integrals is also established by applying the definition of strongly convex functions. From main theorems, $ q $-Hölder, $ q $-Ostrowski and $ q $-Grüss inequalities can be obtained in particular cases.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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