On the Acceleration Problem of q-Bernstein Polynomials

Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 252-259.

On the Acceleration Problem of q-Bernstein Polynomials

1. Department of Computer Engineering,Taizhou Vocational Technical College 2. Department of Mathematics and Physics,Lishui University 3. Henan University Press

Received:2007-10-15 Online:2008-06-30 Published:2023-10-08
About author:YUN Lian-ying(1957-), female, native of Jiaozuo, Henan, an associate professor of Taizhou Vocational Technology College, engages in applied mathematics.

Abstract

Abstract: In this paper, we investigate not only the acceleration problem of the q-Bernstein polynomials Bn(f,q;x) to B∞(f,q;x) but also the convergence of their iterated Boolean sum. Using the methods of exact estimate and theories of modulus of smoothness, we get the respective estimates of the convergence rate, which suggest that q-Bernstein polynomials have the similar answer with the classical Bernstein polynomials to these two problems.

Key words: q-Bernstein polynomial, acceleration, iterated Boolean sum, convergence rate

CLC Number:

O174.41

YUN Lian-ying, XIANG Xue-yan, WANG Hui. On the Acceleration Problem of q-Bernstein Polynomials[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 252-259.

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On the Acceleration Problem of q-Bernstein Polynomials

1. Department of Computer Engineering,Taizhou Vocational Technical College 2. Department of Mathematics and Physics,Lishui University 3. Henan University Press

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