Makale detayı · 2016 · article
q Voronovskaya type theorems for q Baskakov operators
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- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıMathematical methods in the applied sciences
- Katalog eşleşmesi (ISSN)Mathematical Methods in the Applied Sciences
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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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