Pachpatte type inequalities and their nabla unifications via convexity

Kayar Z., Kaymakçalan B.

Indian Journal of Pure and Applied Mathematics, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1007/s13226-024-00569-5
  • Journal Name: Indian Journal of Pure and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Keywords: 26D10, 26D15, 34N05, Convexity, Copson’s inequality, Hardy’s inequality, Pachpatte’s inequality, Time scale calculus
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Nabla unifications of the discrete and continuous Pachpatte type inequalities, which are convex generalizations of Hardy-Copson type inequalities, are established. These unifications also yield dual results, namely delta Pachpatte type inequalities. Some of the dual results and some discrete and continuous versions of nabla Pachpatte type inequalities have appeared in the literature for the first time.