Approximation of Discontinuous Functions by <i>q</i>-Bernstein Polynomials
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Date
2016
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Springer international Publishing Ag
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Abstract
This chapter presents an overview of the results related to the q-Bernstein polynomials with q > 1 attached to discontinuous functions on [0, 1]. It is emphasized that the singularities of such functions located on the set Jq : = {0} boolean OR {q-l}(l=0, infinity), q > 1 are definitive for the investigation of the convergence properties of their q-Bernstein polynomials.
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Keywords
q-Bernstein polynomial, Discontinuous function, Time scale, Convergence
Turkish CoHE Thesis Center URL
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0
WoS Q
Scopus Q
Q4
Source
Volume
111
Issue
Start Page
501
End Page
515