Best approximations of the classes B
p,θ
r
of periodic functions of many variables in uniform metric |
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Authors: | A S Romanyuk |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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Abstract: | We obtain estimates exact in order for the best approximations of the classes B
∞,θ
r
of periodic functions of two variables in the metric of L
∞ by trigonometric polynomials whose spectrum belongs to a hyperbolic cross. We also investigate the best approximations of
the classes B
p,θ
r
, 1 ≤ p < ∞, of periodic functions of many variables in the metric of L
∞ by trigonometric polynomials whose spectrum belongs to a graded hyperbolic cross.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 10, pp. 1395–1406, October, 2006. |
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Keywords: | |
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