scholarly journals Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Lvxiu Dong ◽  
Dansheng Yu
Keyword(s):  
Pointwise Approximation ◽  
Stancu Operators ◽  
Durrmeyer Variant

scholarly journals A de Casteljau Algorithm for -Bernstein-Stancu Polynomials

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Grzegorz Nowak
Keyword(s):  
Bernstein Polynomials ◽  
Classical Case ◽  
Geometric Progression ◽  
De Casteljau Algorithm ◽  
Stancu Operators

This paper is concerned with a generalization of the -Bernstein polynomials and Stancu operators, where the function is evaluated at intervals which are in geometric progression. It is shown that these polynomials can be generated by a de Casteljau algorithm, which is a generalization of that relating to the classical case and -Bernstein case.

Quantitative estimates for bivariate Stancu operators

2018 ◽  
Vol 42 (16) ◽  
pp. 5241-5250
Author(s):  
Gülen Başcanbaz‐Tunca ◽  
Ayşegül Erençin ◽  
Ali Olgun
Keyword(s):  
Stancu Operators ◽  
Quantitative Estimates

scholarly journals The Kantorovich form of Stancu operators

2006 ◽  
Vol 7 (2) ◽  
pp. 161 ◽  
Author(s):  
Ovidiu T. Pop
Keyword(s):  
Stancu Operators

Approximation by Unimodular Functions

1971 ◽  
Vol 23 (2) ◽  
pp. 257-269 ◽  
Author(s):  
Stephen Fisher
Keyword(s):  
Blaschke Product ◽  
Uniform Approximation ◽  
Unit Disc ◽  
Open Unit ◽  
Blaschke Products ◽  
Open Unit Disc ◽  
Pointwise Approximation ◽  
Finite Blaschke Product ◽  
Image Position ◽  
Restricted Zeros

The theorems in this paper are all concerned with either pointwise or uniform approximation by functions which have unit modulus or by convex combinations of such functions. The results are related to, and are outgrowths of, the theorems in [4; 5; 10].In § 1, we show that a function bounded by 1, which is analytic in the open unit disc Δ and continuous on may be approximated uniformly on the set where it has modulus 1 (subject to certain restrictions; see Theorem 1) by a finite Blaschke product; that is, by a function of the form*where |λ| = 1 and |αi| < 1, i = 1, …, N. In § 1 we also discuss pointwise approximation by Blaschke products with restricted zeros.

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