Newton-cotes quadrature formula for third differentiable and h-convex functions

Benaissa B., BUDAK H.

Filomat, cilt.39, sa.20, ss.6995-7005, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 20
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2520995b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6995-7005
  • Anahtar Kelimeler: B-function, h-convex function, Hölder inequality, Newton inequality, Riemann integr
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This study presents an innovative Newton-Cotes quadrature formula for functions that are third differentiable and h-convex, utilizing Riemann integrals. Additionally, novel Newton-type inequalities are introduced employing a summation parameter p ≥ 1 for s-convexity, convexity, and the class of P-functions.