Ostrowski Type Inequalities for <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>s</mi> </math>-Convex Functions via <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>q</mi> </math>-Integrals-Reference-Cited by-同舟云学术

Ostrowski Type Inequalities for $s$ -Convex Functions via $q$ -Integrals

Published:2022-01-20 Issue: Volume:2022 Page:1-8
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Khan Khuram Ali¹^ORCID,Ditta Allah²^ORCID,Nosheen Ammara¹^ORCID,Awan Khalid Mahmood¹^ORCID,Mabela Rostin Matendo³^ORCID

Affiliation:

1. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

2. Department of Mathematics, University of Jhang, Jhang, Pakistan

3. Department of Maths and Computer Science, Faculty of Science, University of Kinshasa, Democratic Republic of the Congo

Abstract

The new outcomes of the present paper are

q

-analogues (

q

stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for

s

-convex mappings. Some new bounds of Ostrowski type functionals are obtained by using Hölder, Minkowski, and power mean inequalities via quantum calculus. Special cases of new results include existing results from the literature.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/8063803.pdf

Reference33 articles.

1. On the Ostrowski’s integral inequality for mappings with bounded variation and applications;S. S. Dragomir;Mathematical Inequalities and Applications,1998

2. A NEW INEQUALITY OF OSTROWSKI'S TYPE IN $L_1$ NORM AND APPLICATIONS TO SOME SPECIAL MEANS AND TO SOME NUMERICAL QUADRATURE RULES

3. Some companions of an Ostrowski type inequality and application;Z. Liu;JIPAM - Journal of Inequalities in Pure and Applied Mathematics,2009

4. q-Hardy type inequalities for quantum integrals

5. On an Inequality of Ostrowski Type in Three Independent Variables

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