Hermite–Hadamard–Mercer’s-type inequalities for h-convex function

Shehzadi, Asia; Chen, Haibo; BUDAK, HÜSEYİN; Haider, Wali; Ali, Muhammad

doi:10.2298/fil2518367a

Hermite–Hadamard–Mercer’s-type inequalities for h-convex function

Shehzadi A., Chen H., BUDAK H., Haider W., Ali M. A.

Filomat, cilt.39, sa.18, ss.6367-6381, 2025 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 39 Sayı: 18
Basım Tarihi: 2025
Doi Numarası: 10.2298/fil2518367a
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.6367-6381
Anahtar Kelimeler: Convex function, h-convex function, Hermite–Hadamard-Mercer-type inequalities, Jensen–Mercer inequality
Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we prove significant results related to the Hermite–Hadamard–Mercer-type inequality for h-convex functions in the framework of Katugampola fractional integral operators. Also, we establish some novel fractional inequalities related to the right and left sides of Hermite–Hadamard–Mercer-type inequalities for differentiable mappings whose derivatives in absolute value are h-convex function. The findings in this research generalise a number of inequities identified in earlier studies.