Hermite-Hadamard Type Inequalities for B-1-Convex Functions Involving Generalized Fractional Integral Operators


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YEŞİLCE İ., ADİLOV G.

FILOMAT, cilt.32, sa.18, ss.6457-6464, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 18
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1818457y
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6457-6464
  • Anahtar Kelimeler: B-1-convex functions, generalized fractional integral, Hermite-Hadamard inequality, abstract convexity, SETS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

B-1-convexity is an abstract convexity type. We obtained Hermite-Hadamard inequality for B-1-convex functions. But now, there are new and more general integral operator types that are fractional integrals. Thus, we need to prove Hermite-Hadamard inequalities involving different fractional integral operator types with this article.