Bernstein-Type Operators That Reproduce Exponential Functions
Yükleniyor...
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Element
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we recover a generalization of the classical Bernstein operators introduced by Morigi and Neamtu in 2000. Specifically, we focus on a sequence of operators that reproduce the exponential functions exp(mu t) and exp(2 mu t), mu > 0. We study its convergence, this including qualitative and quantitative theorems, an asymptotic formula and saturation results. We also show their shape preserving properties by considering generalized convexity. Finally, a comparison is stated, that shows that in a certain sense and for certain family of illustrative functions the new sequence approximates better than the classical Bernstein polynomials.
Açıklama
Cardenas-Morales, Daniel/0000-0003-1038-3116
Anahtar Kelimeler
Modified Bernstein-type operators, exponential functions, shape preserving properties, generalized convexity
Kaynak
Journal Of Mathematical Inequalities
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
12
Sayı
3
Künye
Aral, Ali & Cárdenas-Morales, D. & Garrancho, P.. (2018). Bernstein-type operators that reproduce exponential functions. Journal of Mathematical Inequalities. 12. 861-872.
