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Approximation by means of piecewise linear functions

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Abstract

In the present paper we use piecewise linear functions in order to obtain representations and estimates for the remainder in approximating continuous functions by positive linear operators. Applications of these results for Bernstein and Stancu’s operators are also presented. In addition, we give some partial results concerning the best constant problem for Bernstein operators with respect to the second order modulus of continuity.

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  1. Department of Mathematics, Technical University of Cluj-Napoca, RO — 3400, Cluj-Napoca, Romania

    Daniela P. Kacsó

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  1. Daniela P. Kacsó
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Correspondence to Daniela P. Kacsó.

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Kacsó, D.P. Approximation by means of piecewise linear functions. Results. Math. 35, 89–102 (1999). https://doi.org/10.1007/BF03322024

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