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A best approximation property of discrete quadratic interpolatory splines

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Approximation Theory and its Applications

Abstract

We investigate the following problem in this paper: where there is an unique 1-periodic discrete quadratic spline s∈S(3,p,h) satisfying certain interpolatory condition for a 1-periodic discrete function defined on [0,1]h. The anwser is affirmative.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, R.D. University, 482001, Jabalpur, India

    M. Shrivastava

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  1. M. Shrivastava
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Shrivastava, M. A best approximation property of discrete quadratic interpolatory splines. Approx. Theory & its Appl. 9, 81–88 (1993). https://doi.org/10.1007/BF02836272

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  • DOI: https://doi.org/10.1007/BF02836272

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