Mixed moduli of continuity and their applications in polynomial approximations with interpolation

Mixed moduli of continuity and their applications in polynomial approximations with interpolation

Mixed moduli of continuity of a function of one argument are introduced. These allow us to obtain an analogue of S. A. Telyakovskiĭ's inequality on the estimation of the polynomial approximation of a continuous function with interpolation at the endpoints of the interval to the case when interp...

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Veröffentlicht in:Analysis mathematica (Budapest) 2009-09, Vol.35 (3), p.213-232
Hauptverfasser: Рамазанов, А. К., Рамазанов, А. -Р. К.
Format: Artikel
Sprache:eng ; rus
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung:Mixed moduli of continuity of a function of one argument are introduced. These allow us to obtain an analogue of S. A. Telyakovskiĭ's inequality on the estimation of the polynomial approximation of a continuous function with interpolation at the endpoints of the interval to the case when interpolation is required at a finite number of different points on the interval.
ISSN:0133-3852
1588-273X
DOI:10.1007/s10476-009-0304-0