EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 41(55), pp. 91--95 (1987)

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ON APPROXIMATION OF INTEGRABLE FUNCTIONS BY MODIFIED BERNSTEIN POLYNOMIALS

Suresh Prasad Singh

Department of Mathematics, Garhwal University, Sprinagar 246174, U.P. India

Abstract: We introduce a class of positive linear operators defined for functions integrable on the simplex $\Delta=\{(x_1,x_2) : x_1\geq 0, x_2\geq 0, x_1+x_2\leq 1\}$ and study some approximations theorems on it.

Classification (MSC2000): 41A30, 41A36

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Electronic fulltext finalized on: 2 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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