Strongly n-polynomial convexity and related inequalities
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SINUS Association
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce and study the concept of strongly n-polynomial convexity functions and their some algebraic properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is strongly n-polynomial convexity. Also, we compare the obtained results with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give better approach than the others. © 2022, SINUS Association. All rights reserved.
Açıklama
Anahtar Kelimeler
Convex Function, Hermite-Hadamard Inequality, Hölder Integral Inequality, Hölder İşcan Integral Inequality, Strongly N-Polynomial Convexity
Kaynak
Creative Mathematics and Informatics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
31
Sayı
2
