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On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions

The exact value of the extremal characteristic is obtained on the class L 2 r (D ρ ), where r ∈ ℤ+; \( {D}_{\rho} = \sigma (x)\frac{d^2}{d{ x}^2}+\tau (x)\frac{d}{d x} \) , σ and τ are polynomials of at most the second and first degrees, respectively, ρ is a weight function, 0 < p...

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Datum:	2013
Hauptverfasser:	Vakarchuk, S. B., Shvachko, A. V., Вакарчук, С. Б., Швачко, А. В.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2013
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2540
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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