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


Bin-Mohsin B., Awan M. U., Javed M. Z., Talib S., Budak H., Noor M. A., ...More

AIMS MATHEMATICS, no.1, pp.1995-2017, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.3934/math.2023103
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.1995-2017
  • Kocaeli University Affiliated: No

Abstract

In this article, we introduce the notion of aT over bar p,q-integrals. Using the definition of aT over bar p,q-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Ho center dot lder's inequality, Minkowski's inequality, Ostrowski's inequality and Hermite-Hadamard's inequality.