On some classical integral inequalities in the setting of new post quantum integrals

AIMS Mathematics

article

Bandar Bin-Mohsin¹  Muhammad Uzair Awan²  Muhammad Zakria Javed²  Sadia Talib²  Hüseyin Budak³  Muhammad Aslam Noor⁴  Khalida Inayat Noor⁴ 

[1] Department of Mathematics College of Science King Saud University;Department of Mathematics, Government College University, Faisalabad;Department of Mathematics, Faculty of Science and Arts, Düzce University;Department of Mathematics, COMSATS University Islamabad

关键词: convex functions;    $ _{a}{\bar{T}}_{p;    q} $-integral;    Young's inequality;    Hölder's inequality;    Minkowski's inequality;    Ostrowski's inequality;    Hermite-Hadamard's inequality;   

DOI  :  10.3934/math.2023103

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this article, we introduce the notion of $ _{a}{\bar{T}}_{p,q} $-integrals. Using the definition of $ _{a}{\bar{T}}_{p,q} $-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Hölder's inequality, Minkowski's inequality, Ostrowski's inequality and Hermite-Hadamard's inequality.

【 授权许可】

CC BY