Sharp estimates for Jacobi matrices and chain sequences (Q1867508)
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scientific article; zbMATH DE number 1891501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp estimates for Jacobi matrices and chain sequences |
scientific article; zbMATH DE number 1891501 |
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Sharp estimates for Jacobi matrices and chain sequences (English)
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2 April 2003
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Chain sequences are positive sequences \(\{a_n\}\) of the form \(a_n=g_n(1-g_n)\) for a nonnegative sequence \(\{g_n\}\). Sharp estimates for chain sequences are obtained which are used to give sharp estimates for the norms of Jacobi matrices. Applications to unbounded essentially self-adjoint Jacobi matrices are given.
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orthogonal polynomials
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chain sequences
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Jacobi matrices
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recurrence relation
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norms
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