On semi-exponential Gauss–Weierstrass operators
[ X ]
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser
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. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
Açıklama
Anahtar Kelimeler
Gauss–Weierstrass operators; Moment generating function; Moments; Quantitative asymptotic formula; Semi-exponential Gauss–Weierstrass operators; Weighted approximation
Kaynak
Analysis and Mathematical Physics
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
12
Sayı
5
