Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions


Budak H., Kara H., Ali M. A., Khan S., Chu Y.

OPEN MATHEMATICS, cilt.19, sa.1, ss.1081-1097, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/math-2021-0067
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1081-1097
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results.