Approximation Properties Of Modified Gauss-Weierstrass Integral Operators In Exponential Weighted Lp Spaces
[ X ]
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we deal with modified Gauss-Weierstrass integral operators from exponentially weighted spaces L-p,L-a (R) into L-p,L-2a (R). We give the rate of convergence in terms of weighted modulus of continuity. Moreover, we prove weighted approximation of functions belonging to the space L-p,L-a (R) by these operators with the help of a Korovkin type theorem. Finally, we give pointwise approximation of such functions by these operators at generalized Lebesgue points.
Açıklama
Anahtar Kelimeler
Gauss-Weierstrass operators; Korovkin type theorem; exponential weighted spaces
Kaynak
Facta Universitatis-Series Mathematics and Informatics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
36
Sayı
1
