Frederick Gordon Kergin (1907-1974)

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Kergin approximation in Banach spaces

We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Kergin series diverges. Kergin interpolation is a generalization of both Lagrange interpolation in the one dimensional case, and the Taylor polynomial in the case where all interpolation points coincide. In several vari...

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ژورنال

عنوان ژورنال: The Journal of Thoracic and Cardiovascular Surgery

سال: 1977

ISSN: 0022-5223

DOI: 10.1016/s0022-5223(19)39969-6