Equiconvergence rate in terms of general moduli of continuity for differential operators (Q1911991)
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scientific article; zbMATH DE number 872709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equiconvergence rate in terms of general moduli of continuity for differential operators |
scientific article; zbMATH DE number 872709 |
Statements
Equiconvergence rate in terms of general moduli of continuity for differential operators (English)
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1 May 1996
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Let \(\ell\) be an \(n\)-th order differential expression on \([0,1]\) together with two-point boundary conditions. The first expansions into eigenfunctions and associated functions have been obtained by comparison to expansions into trigonometric functions. Ever since these equiconvergence results have attracted much attention. In this paper an estimate for the rate of equiconvergence on compact subintervals of [0,1] is proved, involving several moduli of continuity.
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\(n\)-th order differential expression
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two-point boundary conditions
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expansions into eigenfunctions and associated functions
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rate of equiconvergence
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