Some new Chebyshev type inequalities utilizing generalized fractional integral operators

Usta F., Budak H., Sarikaya M. Z.

AIMS MATHEMATICS, cilt.5, sa.2, ss.1147-1161, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020079
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1147-1161
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

Chebyshev type inequalities for the generalized fractional integral operators are studied based on two synchronous functions in a rather general form. The main results of this paper generalize some previous results obtained by the authors. We also present the special cases of related inequalities for this type of fractional integral is obtained.