Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables

Ali, Muhammad Aamir
Chu, Yu-Ming
Budak, Hueseyin
Akkurt, Abdullah
Yildirim, Hueseyin
Zahid, Manzoor Ahmed

Open link

Publication date

January 2021

DOI

10.1186/s13662-020-03195-7

Publisher

Springer Science and Business Media LLC

Journal

Advances in Difference Equations

Abstract

In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key results and offer some new integral inequalities.Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11301127, 11701176, 11626101, 11601485, 11971241]The work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485, 11971241).WOS:0006094987000172-s2.0-8509888321