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Shepard operators of Birkhoff-type

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Dedicated to Professor D. D. Stancu on his 70th birthday

Abstract:It is known that the Shepard interpolation operator has degree of exactness zero. In papers [1, 4–6] new Shepard-type operators of degree of exactness greater than zero were constructed by using bivariate Taylor, Lagrange or Hermite interpolation operators. In this note such a Shepard-type operator is constructed by using bivariate Birkhoff interpolation operators.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, University Babeş-Bolyai, str. Kogălniceanu 1, 3400 Cluj-Napoca, Romania¶e-mail: ghcoman@math.ubbcluj.ro, , , , , , RO

    Gheorghe Coman

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  1. Gheorghe Coman
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Received: March 1997 / Accepted: July 1997

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Coman, G. Shepard operators of Birkhoff-type. CALCOLO 35, 197–203 (1998). https://doi.org/10.1007/s100920050016

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  • DOI: https://doi.org/10.1007/s100920050016

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