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

New Developments on Ostrowski Type Inequalities via $q$ -Fractional Integrals Involving $s$ -Convex Functions

Published:2022-10-13 Issue: Volume:2022 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Wang Xiaoming¹^ORCID,Khan Khuram Ali²^ORCID,Ditta Allah³^ORCID,Nosheen Ammara²^ORCID,Awan Khalid Mahmood²^ORCID,Mabela Rostin Matendo⁴^ORCID

Affiliation:

1. School of Mathematics & Computer Science, Shangrao Normal University, Shangrao 334001, China

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

3. Department of Mathematics, University of Jhang, Pakistan

4. Department of Maths and Computer Science, Faculty of Science, University of Kinshasa, Congo

Abstract

In the present paper,

q

-fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of

s

-convex functions. The limiting cases include the nonfractional existing cases from literature. Specially, Ostrowski type inequalities for

q

-integrals and Ostrowski type inequalities for convex functions are deduced.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/9742133.pdf

Reference32 articles.

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5. Some new inequalities of the Ostrowski-Gruss, Chebyshev, and Trapezoid types on time scales;R. N. Eze;Journal of Non-Linear Science and Applications,2019

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