This article is cited in 2 papers

B-spline approximation of discontinuous functions defined on a closed contour in the complex plane

Maria Capcelea, Titu Capcelea

Moldova State University

Abstract: In this paper we propose an efficient algorithm for approximating piecewise continuous functions, defined on a closed contour $\Gamma $ in the complex plane. The function, defined numerically on a finite set of points of $\Gamma $, is approximated by a linear combination of B-spline functions and Heaviside step functions, defined on $\Gamma $. Theoretical and practical aspects of the convergence of the algorithm are presented, including the vicinity of the discontinuity points.

Keywords and phrases: piecewise continuous function, closed contour, complex plane, approximation, B-spline, step function, convergence.

MSC: 65D07, 41A15

Received: 15.07.2022

DOI: 10.56415/basm.y2022.i2.p59

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