This article is cited in 1 paper

Generalized Bezier Transformation

Yu. I. Volkov

V. Vinnichenko Kirovohrad State Pedagogical University

Abstract: The properties of the generalized Bezier transformation and its application to the approximation of functions and the construction of curves are studied. The multidimensional version of this transformation is also considered.

Keywords: Bezier transformation, Bezier function, Bezier curve, Bernstein polynomial, convex function, Stirling number, modulus of continuity.

UDC: 517.51

Received: 14.05.2008
Revised: 27.01.2014

DOI: 10.4213/mzm4991

 English version: Mathematical Notes, 2015, 97:5, 669–678

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