Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity

Kayar Z., Kaymakçalan B.

Differential Equations and Dynamical Systems, 2023 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.1007/s12591-023-00640-3
  • Journal Name: Differential Equations and Dynamical Systems
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Keywords: Convexity, Diamond-alpha time scale calculus, Hardy’s inequality, Pachpatte’s inequality
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Diamond-alpha Pachpatte type dynamic inequalities, which are convex generalizations of diamond-alpha Hardy−Copson type inequalities, are established to harmonize and bind foregoing related results in the delta and nabla calculi. A noteworthy contribution of the paper is that new diamond-alpha dynamic inequalities as well as their delta and nabla versions are derived by making use of convexity.