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Approximation of q-Stancu-Beta Operators Which Preserve $$x^2$$ x 2

Approximation of q-Stancu-Beta Operators Which Preserve $$x^2$$ x 2 In this paper, we study some approximation properties of q-analogue of Stancu-Beta operators which preserve $$x^{2}$$ x 2 . We determine the rate of global convergence in weighted spaces. We also prove the Voronovskaja-type theorem for these operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Approximation of q-Stancu-Beta Operators Which Preserve $$x^2$$ x 2

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References (27)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-015-0146-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study some approximation properties of q-analogue of Stancu-Beta operators which preserve $$x^{2}$$ x 2 . We determine the rate of global convergence in weighted spaces. We also prove the Voronovskaja-type theorem for these operators.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Jun 12, 2015

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