Approximation of functions of boundedp-variation by polynomials in terms of the faber-schauder system |
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Authors: | S S Volosivets |
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Institution: | (1) Saratov State University, Saratov, USSR |
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Abstract: | In this paper the best polynomial approximation in terms of the system of Faber-Schauder functions in the spaceC
p
0, 1] is studied. The constant in the estimate of Jackson’s inequality for the best approximation in the metric ofC
p
0, 1] and the estimate of the modulus of continuity ω1−1/p
are refined.
Translated fromMatematicheskie Zametki, Vol. 62, No. 3, pp. 363–371, September, 1997.
Translated by N. K. Kulman |
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Keywords: | Haar functions Faber-Schauder functions best approximation modulus of continuity |
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