New versions of Hermite–Hadamard inequalities on Discrete Time Scales

BUDAK H.

Analysis and Mathematical Physics, cilt.15, sa.4, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 4
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s13324-025-01106-1
  • Dergi Adı: Analysis and Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Convex functions, Discrete integrals, Fractional integrals, Hermite–Hadamard-type inequalities, Time scale
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we first introduced two time scales based on the interval [a, b] and Z. Then, by using one of these time scale and substitutions rules, we prove a new version of discrete Hermite-Hadamard inequality for discrete convex functions. Moreover, we investigate the fractional version of this inequality involving fractional delta and nabla sums.