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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 11, Pages 53–60 (Mi ivm4255)

This article is cited in 3 papers

Form-preserving exponential approximation

Yu. N. Subbotin

Department of Functions Approximation Theory, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia

Abstract: In this paper we continue our research in constructing linear methods for approximating functions by parabolic splines with equidistant knots, inheriting such properties of approximated functions as monotony and convexity. The obtained results are generalized to the case of non-equidistant knots and to some kinds of exponential splines of the third order.

Keywords: parabolic spline, exponential spline, equidistant knots, monotony, convexity, approximating function.

UDC: 517.5

Received: 09.07.2007


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:11, 46–52

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