Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials |
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Authors: | A S Serdyuk |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv |
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Abstract: | We establish asymptotically unimprovable interpolation analogs of Lebesgue-type inequalities on the classes of periodic infinitely differentiable functions C
C whose elements can be represented in the form of convolutions with fixed generating kernels. We obtain asymptotic equalities for upper bounds of approximations by interpolation trigonometric polynomials on the classes C
,
and C
H
.Translated from Ukrains kyi Matematychnyi Zhurnal, Vol. 56, No. 4, pp. 495–505, April, 2004. |
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Keywords: | |
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