Marcinkiewicz-Zygmund-Type Inequalities Trigonometric Interpolation on Non-Uniform Grids and Unconditional Schauder Bases in Besov Spaces on the Torus | Zendy

K. Runovski | Zendy; Winfried Sickel | Zendy

Open Access

Marcinkiewicz-Zygmund-Type Inequalities Trigonometric Interpolation on Non-Uniform Grids and Unconditional Schauder Bases in Besov Spaces on the Torus

Author(s) -

K. Runovski,

Winfried Sickel

Publication year - 1997

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/784

Subject(s) - mathematics , torus , interpolation (computer graphics) , trigonometry , type (biology) , pure mathematics , trigonometric functions , inequality , trigonometric polynomial , mathematical analysis , image (mathematics) , geometry , computer science , artificial intelligence , biology , ecology

We investigate extensions of the classical Marcinkiewicz-Zygmund inequality to non-uniform grids. Then we show how this inequality can be used to characterize Besov spaces on the torus by means of approximation by corresponding interpolatory polynomials. One of these characterizations can be applied to the construction of unconditional Schauder bases.

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