Approximation of non-negative convex functions by polynomials with positive coefficients in the Hausdorff metric

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  • V. At. Kostova TU "Angel Kanchev" Center of Mathematics, Russe, Bulgaria
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References

Veselinov, V.M., Best approximation of functions by polynomials mith positive coefficients in the Hausdorff metric, C.R. Acad. Bulg. Sci., 27, 599-602, 1974.

Veselynov, V.M., The exact constants in the theory of approximation by the Bernstein polynomials in the Hausdorff metric, C.R. Acad. Bulg. Sci., 27, 1183-1186, 1974.

Esseen, G.G., Uber die asymptotisch beste Approximation stetige Functionen mit Hilfe for Benstein Polynomen, Numer. Math., 2, 206, 1960.

Lorentz, G.G., Bernstein Polynomials, Toronto, 1953.

Lorentz, G.G., The Degree of Approximation by Polynomials with Positive Coefficients, Math. Annalen 151, 239-251, 1963.

Popov, V.A., Approximation of convex functions by algebraic polynomials in Hausdorff’s metric, Serdica, 1, 386-398, 1975.

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Published

1983-08-01

How to Cite

Kostova, V. A. (1983). Approximation of non-negative convex functions by polynomials with positive coefficients in the Hausdorff metric. Anal. Numér. Théor. Approx., 12(2), 141–149. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1983-vol12-no2-art5

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