Equivalence Between K-functionals Based on Continuous Linear Transforms

Draganov, 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 -