On weighted \(L^ p\)-convergence of certain Lagrange interpolation (Q1069071)
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scientific article; zbMATH DE number 3931636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weighted \(L^ p\)-convergence of certain Lagrange interpolation |
scientific article; zbMATH DE number 3931636 |
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On weighted \(L^ p\)-convergence of certain Lagrange interpolation (English)
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1985
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The present paper is a modest contribution to the theory of weighted mean convergence and mean convergence of the Lagrange interpolation built on the set of nodes consisting of the zeros of \(\pi_{n+1}(x)=(1-x^ 2)P'\!_ n(x)\), \(P_ n(x)\) being the nth Legendre polynomial with normalization \(P_ n(1)=1\).
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weighted mean convergence
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Lagrange interpolation
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Legendre polynomial
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