Weighted Hermite-Hadamard and Simpson Type Inequalities for Double Integrals

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

JOURNAL OF MATHEMATICAL EXTENSION, sa.1, ss.149-177, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.30495/jme.2021.1324
  • Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.149-177
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we first obtain two weighted identities for twice partially differentiable mappings. Moreover, utilizing these equalities, we establish the weighted Hermite-Hadamard type inequalities and weighted Simpson type inequalities for co-ordinated convex functions in a rectangle from the plane R-2 , respectively. The results given in this paper provide generalizations of some result established in earlier works.