A note on ( p , q ) $(p,q)$ -Bernstein polynomials and their applications based on ( p , q ) $(p,q)$ -calculus

Author:

Agyuz Erkan,Acikgoz Mehmet

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference29 articles.

1. Goldman, R., Simeonov, P., Simsek, Y.: Generating functions for the q-Bernstein bases. SIAM J. Discrete Math. 28(3), 1009–1025 (2014)

2. Bernstein, S.: Demonstration du théoréme de Weierstrass fondeé sur la calcul des probabilités. Comm. Math. Soc. Charkow. 13(2), 1–2 (1912)

3. Ostrovska, S.: q-Bernstein polynomials and their iterates. J. Approx. Theory 123, 232–255 (2003)

4. Ostrovska, S.: The convergence of q-Bernstein polynomials. Math. Nachr. 282(2), 243–252 (2009)

5. Phillips, G.M.: Bernstein polynomials based on the q-integers. Ann. Numer. Math. 4, 511–518 (1997)

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