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

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

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 t...

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Bibliographic Details
Main Authors: Da Shi, Ghulam Farid, Abd Elmotaleb A. M. A. Elamin, Wajida Akram, Abdullah A. Alahmari, B. A. Younis
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Series:AIMS Mathematics
Subjects:
$ q $-integral
$ q $-$ h $-integral
hölder inequality
ostrowski inequality
güss inequality
hadamard inequality
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231192?viewType=HTML
Description
Summary: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.
ISSN:2473-6988

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