A study of Milne-type inequalities for several convex function classes with applications

Munir A., Qayyum A., Budak H., Faiz I., Kara H., Supadi S. S.

FILOMAT, cilt.38, sa.32, ss.11539-11551, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 32
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2432539m
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.11539-11551
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

Fractional integral operators have indeed been the subject of significant research in various mathematical and scientific disciplines over the past few decades. The main aim of this article is to establish a new identity employing the Atangana Baleanu fractional integral operator for the case of differentiable functions. Moreover, we present several fractional Milne-type inequalities for bounded function by fractional integrals. Furthermore, we obtain fractional Milne-type inequalities for the case of Lipschitzian functions. Lastly, we explore applications related to special means, and quadrature formulas.