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Besov spaces with generalized smoothness and summability of multiple Fourier series

Journal of Approximation Theory. 2022. Vol. 284. Article 105822.
Artamonov S., Runovski K., Schmeisser H.

The paper deals with summation methods for multiple Fourier series in the framework of Besov spaces with generalized smoothness. The main focus lies on approximation with respect to the (quasi-) metric in Lp, where 0<p<1 as well as to refined smoothness near zero.

Research target: Mathematics
Language: English
Full text
DOI
Text on another site
Keywords: K-functionalsSummabilityPeriodic Besov spaces with generalized smoothnessTrigonometric approximation
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