Hermite-Hadamard inequalities for B-convex and B-1-convex functions

Yesilce I., ADİLOV G.

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, cilt.8, sa.1, ss.225-233, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.22075/ijnaa.2017.1621.1427
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.225-233
  • Anahtar Kelimeler: Hermite-Hadamard Inequality, B-convex functions, B-1-convex functions, abstract convexity
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for B-convex and B-1-convex functions are proven.