Mean square approximation by optimal periodic interpolation

Franz-Jürgen Delvos

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Displaying similar documents to “Mean square approximation by optimal periodic interpolation”

Approximation by optimal periodic interpolation

Franz-Jürgen Delvos (1990)

Aplikace matematiky

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Universally optimal approximation of functionals

Milan Práger (1979)

Aplikace matematiky

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A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.

The periodic solutions of the second order nonlinear difference equation.

Ryszard Musielak, Jerzy Popenda (1988)

Publicacions Matemàtiques

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Periodic and asymptotically periodic solutions of the nonlinear equation Δx + af(x) = 0, n ∈ N, are studied.

Some remarks on a theorem of S.M. Lozinski concerning linear process of approximation of periodic functions

A. Varma (1972)

Studia Mathematica

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On difference linear periodic systems II. Non-homogeneous case

Ion Zaballa, Juan-Miguel Gracia (1985)

Aplikace matematiky

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This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.

Interpolation properties of a scale of spaces.

A. K. Lerner, L. Liflyand (2003)

Collectanea Mathematica

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A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.