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Weighted approximation of functions on the real line by Bernstein polynomials |
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| Authors: | B Della Vecchia G Mastroianni J Szabados |
| Institution: | a Dipartimento di Matematica, Istituto G. Castelnuovo, Università di Roma “La Sapienza”, P. le Aldo Moro 2, Roma I-00185, Italy;b Istituto per le Applicazioni del Calcolo “Mauro Picone” CNR-Sezione di Napoli, Via P. Castellino 111, Napoli I-80131, Italy;c Dipartimento di Matematica, Università della Basilicata, Località Macchia Romana, Potenza I-85100, Italy;d Alfréd Rényi Institute of Mathematics, P.O.Box 127, Budapest H-1364, Hungary |
| Abstract: | The authors give error estimates, a Voronovskaya-type relation, strong converse results and saturation for the weighted approximation of functions on the real line with Freud weights by Bernstein-type operators. |
| Keywords: | Freud weights Weighted modulus of smoothness and K-functional Bernstein operator |
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