Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces

Title:

Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces

Creator:

Israfilov, Daniyal M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4debf887-a285-441a-a18f-166160f6bd1b
uuid:4debf887-a285-441a-a18f-166160f6bd1b

Subject:

Faber polynomial, Faber series, weighted Lebesgue space, weighted Smirnov space, and $k$-th modulus of continuity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $L\subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$-Faber-Laurent rational series expansions in the $\omega $ weighted Lebesgue spaces $L^p(L,\omega )$ are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a $k$th integral modulus of continuity in $L^p(L,\omega )$ spaces is estimated.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

751-765

Source:

Czechoslovak Mathematical Journal | 2004 Volume:54 | Number:3

Harvested from:

CDK

Metadata only:

false