q-Voronovskaya type theorems for q-Baskakov operators
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Tarih
2016
Yazarlar
Dergi Başlığı
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Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we prove quantitative q-Voronovskaya type theorems for q-Baskakov operators in terms of weighted modulus of continuity. We also present a new form of Voronovskaya theorem, that is, q-Gruss-Voronovskaya type theorem for q-Baskakov operators in quantitative mean. Hence, we describe the rate of convergence and upper bound for the error of approximation, simultaneously. Our results are valid for the subspace of continuous functions although classical ones is valid for differentiable functions. Copyright (c) 2015 John Wiley & Sons, Ltd.
Açıklama
Acar, Tuncer/0000-0003-0982-9459
Anahtar Kelimeler
q-Baskakov operators, Voronovskaya type theorem, weighted modulus of continuity, q-Gruss-Voronovskaya-type theorem
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
39
Sayı
12
Künye
closedAccess
