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q-Voronovskaya type theorems for q-Baskakov operators

Mathematical Methods in the Applied Sciences · Ağustos 2016

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q Voronovskaya type theorems for q Baskakov operators
Mathematical Methods in the Applied Sciences · 2016 SCI-Expanded
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Makale Bilgileri

DergiMathematical Methods in the Applied Sciences
Yayın TarihiAğustos 2016
Cilt / Sayfa39 · 3391-3401
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-Grüss-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 © 2015 John Wiley & Sons, Ltd.

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Anahtar Kelimeler

q-Baskakov operators q-Grüss-Voronovskaya-type theorem Voronovskaya type theorem weighted modulus of continuity

Kurumlar

Kirikkale Üniversitesi
Kirikkale Turkey

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