Abstract


In this note we study the limit of iterates of Lupas q-analogue of the Bernstein operators. Also, we introduce a new class of Bernstein-type operators which fix certain polynomials qualitative and quantitative results are established.

Authors

Octavian Agratini
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Bernstein polynomials; q-integers, Bhoman-Korovkin theorem; modulus of continuity.

Paper coordinates

O. Agratini, On certain q-analogues of the Bernstein operators, Carpathian Journal of Mathematics, 34 (2008), pp. 281-286, https://www.jstor.org/stable/43998926

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About this paper

Journal

Carpathian Journal of Mathematics

Publisher Name

Department of Mathematics and Computer Science, North University of Baia Mare.

Print ISSN

1584-2851

Online ISSN

google scholar link

2008

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