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- W2346670179 abstract "Abstract The q -Bernstein basis used to construct the q -Bernstein polynomials is an extension of the Bernstein basis related to the q -binomial probability distribution. This distribution plays a profound role in the q -boson operator calculus. In the case q > 1, q -Bernstein basic polynomials on [0, 1] combine the fast increase in magnitude with sign oscillations. This seriously complicates the study of q -Bernstein polynomials in the case of q > 1. The aim of this paper is to present new results related to the q -Bernstein polynomials B n , q of discontinuous functions in the case q > 1. The behavior of polynomials B n , q ( f ; x ) for functions f possessing a logarithmic singularity at 0 has been examined." @default.
- W2346670179 created "2016-06-24" @default.
- W2346670179 creator A5008449651 @default.
- W2346670179 date "2016-02-01" @default.
- W2346670179 modified "2023-09-23" @default.
- W2346670179 title "On the q-Bernstein polynomials of the logarithmic function in the case q > 1" @default.
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- W2346670179 doi "https://doi.org/10.1515/ms-2015-0116" @default.
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