Reconstruction Of Two Approximation Processes In Order To Reproduce eax And e2ax, a > 0
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Element D.O.O.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We propose two modifications for Gauss-Weierstrass operators and moment-type operators which fix eax and e2ax 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. © 2021,Journal of Mathematical Inequalities. All rights reserved.
Açıklama
Anahtar Kelimeler
Gauss-Weierstrass operators; moment-type operators; Voronovskaya-type theorem; weighted approximation
Kaynak
Journal of Mathematical Inequalities
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
15
Sayı
3
