Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity
Differential Equations and Dynamical Systems, cilt.33, sa.3, ss.767-782, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 3
- Basım Tarihi: 2025
- Doi Numarası: 10.1007/s12591-023-00640-3
- Dergi Adı: Differential Equations and Dynamical Systems
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.767-782
- Anahtar Kelimeler: Convexity, Diamond-alpha time scale calculus, Hardy’s inequality, Pachpatte’s inequality
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
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.