INTEGRAL INEQUALITIES FOR SOME CONVEXITY CLASSES VIA ATANGANA-BALEANU INTEGRAL OPERATORS

ÇELİK B., ÖZDEMİR M. E., Akdemir A. O., Set E.

Turkish Journal of Inequalities, cilt.5, sa.2, ss.82-92, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2021
  • Dergi Adı: Turkish Journal of Inequalities
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.82-92
  • Anahtar Kelimeler: Atangana-Baleanu fractional integral operators, Hölder inequality, P-function, power mean inequality, Quasi-Convex function, Young inequality
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this paper, firstly, definitions of different classes of convexity, Riemann-Liouville fractional integral and Atangana-Baleanu fractional integral operator are given. In the second part, which constitutes the main results, by using the identity given by Set et al. in [20], some new integral inequalities for quasi-convex and P-function via Atangana-Baleanu fractional integral operators are obtained.