Displaying similar documents to “Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions”

Mean square approximation by optimal periodic interpolation

Franz-Jürgen Delvos (1995)

Applications of Mathematics

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Following the research of Babuška and Práger, the author studies the approximation power of periodic interpolation in the mean square norm thus extending his own former results.

Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations

Alexander Fischer (2004)

Applications of Mathematics

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The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions...