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A Sobolev-Type Upper Bound for Rates of Approximation by Linear Combinations of Heaviside Plane Waves

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F07%3A00042939" target="_blank" >RIV/67985807:_____/07:00042939 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Sobolev-Type Upper Bound for Rates of Approximation by Linear Combinations of Heaviside Plane Waves

  • Original language description

    For sufficiently differntiable functions, there are derived estimates of rates of approximation by linear combinations of Heaviside plane waves converging to zero exponentially fast. The estimates depend on Sobolev seminorms and the number of variables of the function to be approximated.

  • Czech name

    Horní mez Sobolevovského typu pro rychlost aproximace lineárními kombinacemi Heavisidových rovinných vln

  • Czech description

    Pro dostatečně diferencovatelné funkce jsou odvozeny odhady rychlosti aproximace lineárními kombinacemi Heavisidových rovinných vln v závislosti na Sobolevovské seminormě a funkci poctu proměnných exponencionálně konvergující k nule.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1M0567" target="_blank" >1M0567: Centre for Applied Cybernetics</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Approximation Theory

  • ISSN

    0021-9045

  • e-ISSN

  • Volume of the periodical

    147

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    10

  • Pages from-to

    1-10

  • UT code for WoS article

  • EID of the result in the Scopus database