Title

Partial shape preserving approximations by bivariate Shepard operators

Abstract

Extending the results from the univariate case in a paper by Gal and Szabados, in this paper, we prove that the bivariate Shepard interpolation operators preserve the monotonicity and the convexity of bivariate functions in neighborhoods of some points. © 2001 Elsevier Science Ltd.

Publication Title

Computers and Mathematics with Applications

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