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Saturation of convergence for q-Bernstein polynomials in the case q⩾1

Published:2008-01 Issue:1 Volume:337 Page:744-750
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Heping Wang,Wu XueZhi

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference14 articles.

1. Constructive Approximation;Devore,1993

2. Convergence of generalized Bernstein polynomials;II'inskii;J. Approx. Theory,2002

3. Quantum Calculus;Kac,2002

4. q-Bernstein polynomials and their iterates;Ostrovska;J. Approx. Theory,2003

5. On the limit q-Bernstein operators;Ostrovska;Math. Balkanica,2004

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1. Generalized Szász-Mirakjan type operators via q-calculus and approximation properties;Applied Mathematics and Computation;2020-04

2. Some Approximation Results on Compact Sets by (p, q)-Bernstein–Faber Polynomials, $$q>p>1$$;Iranian Journal of Science and Technology, Transactions A: Science;2019-08-20

3. Approximation by quaternion ( p , q ) $(p,q)$ -Bernstein polynomials and Voronovskaja type result on compact disk;Advances in Difference Equations;2018-12

4. Approximation by Bernstein–Faber–Walsh and Szász–Mirakjan–Faber–Walsh Operators in Multiply Connected Compact Sets of ℂ $$\mathbb{C}$$;Springer Optimization and Its Applications;2017

5. On the q-Bernstein polynomials of the logarithmic function in the case q > 1;Mathematica Slovaca;2016-02-01

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