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New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right (p,q)-derivatives and definite integrals.

Authors :
Chu, Yu-Ming
Awan, Muhammad Uzair
Talib, Sadia
Noor, Muhammad Aslam
Noor, Khalida Inayat
Source :
Advances in Difference Equations; 11/11/2020, Vol. 2020 Issue 1, pN.PAG-N.PAG, 1p
Publication Year :
2020

Abstract

The main objective of this paper is to introduce a new more elegant notion of left–right (p , q) -derivative and definite integrals. To show the significance of these concepts, we discuss some of their basic properties. A new generalized (p , q) -integral identity is also obtained. Utilizing this identity as an auxiliary result we then obtain our main results using the concept of n-polynomial convex functions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2020
Issue :
1
Database :
Complementary Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
146950361
Full Text :
https://doi.org/10.1186/s13662-020-03094-x