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- W2024683750 abstract "We show that Kergin interpolation, a generalized Lagrange–Hermite polynomial interpolation, may be defined on mappings between general Banach spaces. Like its finite-dimensional counterpart, Kergin interpolation in this setting is an affine-invariant projector. We obtain an error formula which we use to approximate holomorphic mappings. As an application we give a convergence theorem applicable to, for instance, operators on Banach algebras, such as the algebra of square matrices with complex coefficients." @default.
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- W2024683750 date "2004-03-01" @default.
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- W2024683750 title "Kergin interpolation in Banach spaces" @default.
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- W2024683750 doi "https://doi.org/10.1016/j.jat.2004.01.002" @default.
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