New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings-Reference-Cited by-同舟云学术

New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings

Published:2020-01-01 Issue:1 Volume:18 Page:1830-1854
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Kalsoom Humaira¹,Latif Muhammad Amer²,Rashid Saima³,Baleanu Dumitru⁴,Chu Yu-Ming⁵⁶

Affiliation:

1. Department of Mathematics, Zhejiang Normal University , Jinhua 321004 , P. R. China

2. Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University , Hofuf Al-Hasa 31982 , Saudi Arabia

3. Department of Mathematics, Government College University , Faisalabad 38000 , Pakistan

4. Department of Mathematics, Çankaya University , Ankara 06530 , Turkey

5. Department of Mathematics, Huzhou University , Huzhou 313000 , China

6. School of Mathematics and Statistics, Changsha University of Science & Technology , Changsha 410014 , China

Abstract

Abstract In the article, we present a new

( p , q )

(p,q)

-integral identity for the first-order

( p , q )

(p,q)

-differentiable functions and establish several new

( p , q )

(p,q)

-quantum error estimations for various integral inequalities via

( α , m )

(\alpha ,m)

-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0114/pdf

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