Hermite-Hadamard type inequalities for new conditions on <i>h</i>-convex functions via ψ -Hilfer integral operators

Benaissa, Bouharket; Azzouz, Noureddine; Budak, HÜSEYİN

doi:10.1007/s13324-024-00893-3

Hermite-Hadamard type inequalities for new conditions on <i>h</i>-convex functions via ψ -Hilfer integral operators

Benaissa B., Azzouz N., Budak H.

ANALYSIS AND MATHEMATICAL PHYSICS, cilt.14, sa.2, 2024 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 14 Sayı: 2
Basım Tarihi: 2024
Doi Numarası: 10.1007/s13324-024-00893-3
Dergi Adı: ANALYSIS AND MATHEMATICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Kocaeli Üniversitesi Adresli: Hayır

Özet

We employ a new function class called B-function to create a new version of fractional Hermite-Hadamard and trapezoid type inequalities on the right-hand side that involves h-convex and psi -Hilfer operators. We also provide new midpoint-type inequalities using h-convex functions.