BIVARIATE BERNSTEIN POLYNOMIALS THAT REPRODUCE EXPONENTIAL FUNCTIONS
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we construct Bernstein type operators that reproduce exponential functions on simplex with one moved curved side. The operator interpolates the function at the corner points of the simplex. Used function sequence with parameters alpha and beta not only are gained more modeling flexibility to operator but also satisfied to preserve some exponential functions. We examine the convergence properties of the new approximation processes. Later, we also state its shape preserving properties by considering classical convexity. Finally, a Voronovskaya-type theorem is given and our results are supported by graphics.
Açıklama
Anahtar Kelimeler
Bernstein operators; exponential functions; classical and exponential convexity; Voronovskaya-type theorem
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
70
Sayı
1
