On the Weighted Generalization of Hermite-Hadamard Type Inclusions for Interval-Valued Convex Functions

Budak H., Kara H.

FILOMAT, cilt.36, sa.14, ss.4779-4791, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 14
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2214779b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.4779-4791
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, firstly we give weighted Jensen inequality for interval valued functions.Then, by using Jensen inequality, we establish weighted Hermite-Hadamard type inclusions for interval-valued functions. Moreover, we obtain some inclusions of weighted Hermite-Hadamard type for co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.