# 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

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topDmitry 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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