On Lagrange interpolation for functions of bounded variation (Q2717055)
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scientific article; zbMATH DE number 1604428
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Lagrange interpolation for functions of bounded variation |
scientific article; zbMATH DE number 1604428 |
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22 June 2005
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polynomial interpolation
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equidistant nodes
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bounded variation
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0.98554474
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0.9723669
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0.95796335
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0.9296316
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0.92399836
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On Lagrange interpolation for functions of bounded variation (English)
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The author proves a ''local'' version of a theorem of \textit{P. Szász} [Mat. Fiz. Lapok 49, 63--69 (1942; Zbl 0027.30501)] on the convergence at the point 0 of the algebraic Lagrange interpolating polynomials for the equidistant interpolatory matrix to a function of bounded variation and continuous at zero.
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