EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 34(48), pp. 199--203 (1983)

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ON THE DEGRE OF $L_1$-APROXIMATION BY MODIFIED BERNSTEIN POLYNOMIALS

S.P. Singh, O.P. Varshney and G. Prasad

Department of Mathematics, University of Roorkee, Roorkee 247667, India

Abstract: Recently many researchers like Bojani\'c & Shisha, and A. Grundmann have obtained the degree of $L_1$ approximation to integrable functions by modified Bernstein polynomials. The object of the present note is to improve their results.

Keywords: Lebesgue integrable function, rate of convergence, integrable modulus of continuity

Classification (MSC2000): 41A36

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Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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