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Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions

We establish asymptotically unimprovable interpolation analogs of Lebesgue-type inequalities on the sets $C^{\psi}_{\beta}L_p$ of $(\psi, \beta)$-differentiable functions generated by sequences $\psi(k)$ that satisfy the d'Alembert conditions. We find asymptotic equalities for the least up...

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Datum:	2012
Hauptverfasser:	Serdyuk, A. S., Сердюк, А. С.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2012
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2609
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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