Bullen inequality for third differentiable functions

Benaissa B., Azzouz N., BUDAK H.

Filomat, cilt.39, sa.13, ss.4601-4612, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 13
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2513601b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4601-4612
  • Anahtar Kelimeler: Bullen inequality, Hölder inequality, Riemann integral, s-convex function
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper develops a novel Bullen inequality for third-differentiable functions using Riemann integrals. Furthermore, new Bullen inequalities are proposed utilizing a summation parameter p ≥ 1 for and s-convex functions,convex functions and P-functions classes. Particular cases are studied when the third derivative functions are also bounded and Lipschitzian.