Pachpatte type inequalities and their nabla unifications via convexity

Kayar Z., Kaymakçalan B.

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

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s13226-024-00569-5
  • Dergi Adı: Indian Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Anahtar Kelimeler: 26D10, 26D15, 34N05, Convexity, Copson’s inequality, Hardy’s inequality, Pachpatte’s inequality, Time scale calculus
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.