# Equivalence Between K-functionals Based on Continuous Linear Transforms

Draganov, Borislav; Ivanov, Kamen

Serdica Mathematical Journal (2007)

- Volume: 33, Issue: 4, page 475-494
- ISSN: 1310-6600

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topDraganov, Borislav, and Ivanov, Kamen. "Equivalence Between K-functionals Based on Continuous Linear Transforms." Serdica Mathematical Journal 33.4 (2007): 475-494. <http://eudml.org/doc/281525>.

@article{Draganov2007,

abstract = {2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36,
42A10.The paper presents a method of relating two K-functionals by
means of a continuous linear transform of the function. In particular, a
characterization of various weighted K-functionals by unweighted fixed-step
moduli of smoothness is derived. This is applied in estimating the rate of
convergence of several approximation processes.Partially supported by grant No. 103/2007 of the National Science Fund of the Sofia
University.},

author = {Draganov, Borislav, Ivanov, Kamen},

journal = {Serdica Mathematical Journal},

keywords = {K-Functional; Modulus of Smoothness; Rate of Convergence; Best Approximation; Linear Operator; K-functionals; modulus of smoothness; rate of convergence; best approximation; linear operator},

language = {eng},

number = {4},

pages = {475-494},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Equivalence Between K-functionals Based on Continuous Linear Transforms},

url = {http://eudml.org/doc/281525},

volume = {33},

year = {2007},

}

TY - JOUR

AU - Draganov, Borislav

AU - Ivanov, Kamen

TI - Equivalence Between K-functionals Based on Continuous Linear Transforms

JO - Serdica Mathematical Journal

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 33

IS - 4

SP - 475

EP - 494

AB - 2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36,
42A10.The paper presents a method of relating two K-functionals by
means of a continuous linear transform of the function. In particular, a
characterization of various weighted K-functionals by unweighted fixed-step
moduli of smoothness is derived. This is applied in estimating the rate of
convergence of several approximation processes.Partially supported by grant No. 103/2007 of the National Science Fund of the Sofia
University.

LA - eng

KW - K-Functional; Modulus of Smoothness; Rate of Convergence; Best Approximation; Linear Operator; K-functionals; modulus of smoothness; rate of convergence; best approximation; linear operator

UR - http://eudml.org/doc/281525

ER -

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