Generalized strongly n-polynomial convex functions and related inequalities

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored. The Hermite-Hadamard inequality is established for generalized strongly n-polynomial convex functions. Additionally, new integral inequalities of Hermite-Hadamard type are derived for this class of functions using the Holder-Iscan integral inequality. The results obtained in this paper are compared with those known in the literature, demonstrating the superiority of the new results. Finally, some applications for special means are provided.

Açıklama

Anahtar Kelimeler

Convex function, Generalized strongly n-polynomial convex function, Hermite-Hadamard inequality, Holder-Iscan inequality, Integral inequalities

Kaynak

Boundary Value Problems

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

2024

Sayı

1

Künye