Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

Kalsoom H., Budak H., Kara H., Ali M. A.

OPEN MATHEMATICS, cilt.19, sa.1, ss.1153-1186, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/math-2021-0072
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1153-1186
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals. Moreover, we show that the results proved in the main section reduce to several Simpson-, trapezoid-and midpoint-type inequalities for various values of parameters.