Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral

BAYRAKTAR B., Valdés J. E. N., Rabossi F., Samaniego A. D.

Proyecciones, cilt.42, sa.5, ss.1221-1239, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.22199/issn.0717-6279-5610
  • Dergi Adı: Proyecciones
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, Fuente Academica Plus, zbMATH, DIALNET
  • Sayfa Sayıları: ss.1221-1239
  • Anahtar Kelimeler: Convex functions, Hadamard type inequality, integral operators weighted, quasi-convex functions
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this note, starting with a lemma, we obtain several extensions of the well-known Hermite-Hadamard inequality for convex functions, using generalized weighted integral operators.