RECONSTRUCTION OF TWO APPROXIMATION PROCESSES IN ORDER TO REPRODUCE eax AND e2ax, a > 0
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Element
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We propose two modifications for Gauss-Weierstrass operators and moment-type operators which fix e(ax) and e(2ax) with a> 0. First, we present moment identities for new operators. Then, we discuss weighted approximation and prove Voronovskaya-type theorems for them in exponentially weighted spaces. Using modulus of continuity in exponentially weighted spaces, we obtain some global smoothness preservation properties. We give a comparison result for Gauss-Weierstrass operators. Finally, we provide some graphical illustrations that show that modified operators perform better than classical ones.
Açıklama
Anahtar Kelimeler
Gauss-Weierstrass operators, moment-type operators, Voronovskaya-type theorem, weighted approximation
Kaynak
Journal of Mathematical Inequalities
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
15
Sayı
3
