On the interpolation formulae induced by generalized right invertible operators (Q2757037)
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scientific article; zbMATH DE number 1675692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the interpolation formulae induced by generalized right invertible operators |
scientific article; zbMATH DE number 1675692 |
Statements
21 November 2001
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generalized \(c(W)\)-property
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right inverse
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interpolation formula
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right initial operators
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0.9310358
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0.8943066
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0.8931433
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0.89118266
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0.88797605
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0.88591534
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On the interpolation formulae induced by generalized right invertible operators (English)
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The generalized \(c(W)\)-property of right initial operators corresponding to a right inverse \(W\) of a given generalized right invertible operator is introduced. Due to this definition a general interpolation formula is given for a system of right initial operators having the generalized \(c(W)\)-property. In particular, interpolation formulae of the Lagrange, Hermite and Newton type for the operators under consideration are proved.
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