The Rate of Convergence for Linear Shape-Preserving Algorithms

Dmitry Boytsov; Sergei Sidorov

Concrete Operators (2015)

  • Volume: 2, Issue: 1, page 139-145, electronic only
  • ISSN: 2299-3282

Abstract

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We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape-preserving operators.

How to cite

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Dmitry Boytsov, and Sergei Sidorov. "The Rate of Convergence for Linear Shape-Preserving Algorithms." Concrete Operators 2.1 (2015): 139-145, electronic only. <http://eudml.org/doc/275975>.

@article{DmitryBoytsov2015,
abstract = {We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape-preserving operators.},
author = {Dmitry Boytsov, Sergei Sidorov},
journal = {Concrete Operators},
keywords = {shape-preserving approximation; Korovkin-type results; degree of approximation},
language = {eng},
number = {1},
pages = {139-145, electronic only},
title = {The Rate of Convergence for Linear Shape-Preserving Algorithms},
url = {http://eudml.org/doc/275975},
volume = {2},
year = {2015},
}

TY - JOUR
AU - Dmitry Boytsov
AU - Sergei Sidorov
TI - The Rate of Convergence for Linear Shape-Preserving Algorithms
JO - Concrete Operators
PY - 2015
VL - 2
IS - 1
SP - 139
EP - 145, electronic only
AB - We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape-preserving operators.
LA - eng
KW - shape-preserving approximation; Korovkin-type results; degree of approximation
UR - http://eudml.org/doc/275975
ER -

References

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