n-fractional polynomial p-convex functions and related inequalities

Set, Erhan; İşcan, İmdat; Alan, E.

doi:10.2298/fil2420259s

n-fractional polynomial p-convex functions and related inequalities

Set E., İşcan İ., Alan E. A.

Filomat, cilt.38, sa.20, ss.7259-7268, 2024 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 20
Basım Tarihi: 2024
Doi Numarası: 10.2298/fil2420259s
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.7259-7268
Anahtar Kelimeler: Hermite-Hadamard inequalities, n-fractional polynomial p-convex functions
Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce a new class of convex functions called n-fractional polynomial p-convex functions. We discuss some properties and present Hermite-Hadamard type inequalities for this generalization. Also when p = −1, our results establish a new definition and Hermite-Hadamard inequalities for n-fractional polynomial harmonically convex functions.