Ермітові сплайни з експоненціально-степеневими ланками з непарною кількістю параметрів

A Hermitian spline with an exponential-power link of the form W2,2(x) with five parameters is constructed: expressions for calculating its parameters are derived and the conditions for its existence are established. The formula for calculating the error of&...

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Bibliographische Detailangaben
Datum:2023
Hauptverfasser: Pizyur, Yaropolk, Karas, Yurii
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2023
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Online Zugang:https://www.fmmit.lviv.ua/index.php/fmmit/article/view/309
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Назва журналу:Physico-mathematical modeling and informational technologies
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Physico-mathematical modeling and informational technologies
Beschreibung
Zusammenfassung:A Hermitian spline with an exponential-power link of the form W2,2(x) with five parameters is constructed: expressions for calculating its parameters are derived and the conditions for its existence are established. The formula for calculating the error of the balanced approximation of functions by Hermitian splines with this link and the expression for the kernel of the approximation error are given. The results demonstrate better accuracy of approximation by Hermitian splines with an exponential-power link than with a polynomial link with the same