Bennett-Leindler Type Inequalities for Nabla Time Scale Calculus

Kayar Z., Kaymakcalan B., Pelen N. N.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.18, no.1, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1007/s00009-020-01674-5
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Keywords: Nabla derivative, Hardy inequality, Copson inequality, Bennett inequality, Leindler inequality, HARDY, COPSON
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this study, we generalize the converse of Hardy and Copson inequalities, which are known as Bennett and Leindler type inequalities, for nabla time scale calculus. This generalization allows us not only to unify all the related results existing in the literature for an arbitrary time scale but also to obtain new results which are analogous to the results of the delta time scale calculus.