Back to Search Start Over

A new generalization of some quantum integral inequalities for quantum differentiable convex functions.

Authors :
Li, Yi-Xia
Ali, Muhammad Aamir
Budak, Hüseyin
Abbas, Mujahid
Chu, Yu-Ming
Source :
Advances in Difference Equations. 4/29/2021, Vol. 2021 Issue 1, p1-15. 15p.
Publication Year :
2021

Abstract

In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the literature on Hermite–Hadamard inequalities. Several inequalities, such as the midpoint-like integral inequality, the Simpson-like integral inequality, the averaged midpoint–trapezoid-like integral inequality, and the trapezoid-like integral inequality, are obtained as special cases of our main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2021
Issue :
1
Database :
Academic Search Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
150062696
Full Text :
https://doi.org/10.1186/s13662-021-03382-0