On some Newton's type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals

Ali M. A., Budak H., Feckan M., Patanarapeelert N., Sitthiwirattham T.

FILOMAT, cilt.37, sa.11, ss.3427-3441, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2311427a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3427-3441
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we establish a new integral identity involving Riemann-Liouville fractional integrals and differentiable functions. Then, we use the newly established identity and prove several Newton's type inequalities for differentiable convex functions and functions of bounded variation. Moreover, we give a mathematical example and graphical analysis of newly established inequalities to show their validity.