Parametric generalized (<i>p</i>, <i>q</i>)-integral inequalities and applications

Nonlaopon K., Awan M. U., Talib S., Budak H.

AIMS MATHEMATICS, vol.7, no.7, pp.12437-12457, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.3934/math.2022690
  • 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.12437-12457
  • Kocaeli University Affiliated: No

Abstract

A new generalized (p, q)-integral identity is derived. Using this new identity as an auxiliary result, we derive new parametric generalizations of certain integral inequalities using the class of s-preinvex functions. We discuss several new and known special cases of the obtained results. This shows that our results are quite unifying. To demonstrate the significance of the main results, we also present some interesting applications.