On semi-exponential Gauss-Weierstrass operators
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Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The paper deals with the semi-exponential type Gauss-Weierstrass operators. The central moments of these operators are constant functions. We estimate some direct results. We also provide a modification of such operators so as the preserve two exponential functions, we estimate weighted approximation, quantitative asymptotic formula for the modified form of operators. Later, a comparison is stated, that shows that in a certain sense and for certain family of illustrative functions the modified form of the semi-exponential Gauss-Weierstrass operators approximates better than the classical ones. Finally, we give some numerical results, which help us better understand the theoretical results obtained in the previous sections.
Açıklama
Anahtar Kelimeler
Gauss-Weierstrass operators; Quantitative asymptotic formula; Moments; Moment generating function; Semi-exponential Gauss-Weierstrass operators; Weighted approximation
Kaynak
Analysis and Mathematical Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
12
Sayı
5
