Bennett-Leindler Type Inequalities for Nabla Time Scale Calculus

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

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.18, sa.1, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00009-020-01674-5
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Nabla derivative, Hardy inequality, Copson inequality, Bennett inequality, Leindler inequality, HARDY, COPSON
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.