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, vol.38, no.20, pp.7259-7268, 2024 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 38 Issue: 20
Publication Date: 2024
Doi Number: 10.2298/fil2420259s
Journal Name: Filomat
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.7259-7268
Keywords: Hermite-Hadamard inequalities, n-fractional polynomial p-convex functions
Karadeniz Technical University Affiliated: No

Abstract

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.