Geodesic
Equivalence Between K-functionals Based on Continuous Linear Transforms
Serdica Mathematical Journal, Tome 33 (2007) no. 4, pp. 475-494 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

Voir la notice de l'article

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.
Keywords: K-Functional, Modulus of Smoothness, Rate of Convergence, Best Approximation, Linear Operator 
@article{SMJ2_2007_33_4_a5,
     author = {Draganov, Borislav and Ivanov, Kamen},
     title = {Equivalence {Between} {K-functionals} {Based} on {Continuous} {Linear} {Transforms}},
     journal = {Serdica Mathematical Journal},
     pages = {475--494},
     year = {2007},
     volume = {33},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2007_33_4_a5/}
}
TY  - JOUR
AU  - Draganov, Borislav
AU  - Ivanov, Kamen
TI  - Equivalence Between K-functionals Based on Continuous Linear Transforms
JO  - Serdica Mathematical Journal
PY  - 2007
SP  - 475
EP  - 494
VL  - 33
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2007_33_4_a5/
LA  - en
ID  - SMJ2_2007_33_4_a5
ER  - 
%0 Journal Article
%A Draganov, Borislav
%A Ivanov, Kamen
%T Equivalence Between K-functionals Based on Continuous Linear Transforms
%J Serdica Mathematical Journal
%D 2007
%P 475-494
%V 33
%N 4
%U http://geodesic.mathdoc.fr/item/SMJ2_2007_33_4_a5/
%G en
%F SMJ2_2007_33_4_a5
Draganov, Borislav; Ivanov, Kamen. Equivalence Between K-functionals Based on Continuous Linear Transforms. Serdica Mathematical Journal, Tome 33 (2007) no. 4, pp. 475-494. http://geodesic.mathdoc.fr/item/SMJ2_2007_33_4_a5/