Construction of a new generalization for n-polynomial convexity with their certain inequalities
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first construct a new generalization of n-polynomial convex function. That is, this study is a generalization of the definition of n-polynomial convexity previously found in the literature. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of n-polynomial convexity. Also, we see that the obtained results in the paper while comparing with H & ouml;lder, H & ouml;lder-& Idot;& scedil;can and power-mean, improvedpower-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.
Açıklama
Anahtar Kelimeler
convex function, n-polynomial convexity, generalized n-polynomial convexity, Hermite-Hadamard inequality, H & ouml;lder-& Idot;& scedil;can integral inequality
Kaynak
Hacettepe Journal of Mathematics And Statistics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
53
Sayı
6
