Asymmetric approximations in the spaceL p(t)

Autor: O. V. Polyakov, E. G. Litvin
Rok vydání: 1999
Předmět:
Zdroj: Ukrainian Mathematical Journal. 51:1069-1078
ISSN: 1573-9376
0041-6053
DOI: 10.1007/bf02592042
Popis: We introduce the notion of (α,β)-norm in the spaceLp(t) of functionsx(t) for which $$\int\limits_0^1 {\left| {x(t)} \right|^{p(t)}< \infty } $$ wherep(t) is a positive measurable function. We establish a criterion for the element of the best (α,β)-approximation in the spaceLp(t). We obtain inequalities of the type of duality relations.
Databáze: OpenAIRE
Externí odkaz: