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The two most known generalizations of the classic Bernshtein's polynomials to the multi-dimensional case are considered for functions defined upon either a cube or a simplex. Asymptotic behavior of Bernshtein's polynomials of several variables bounded function is studied in assumption that the function has its radial limits at a discontinuity point (convergence uniform by all directions) and the function is integrable by Riemann on the unit sphere.
Original language | English |
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Pages (from-to) | 40-44 |
Number of pages | 5 |
Journal | Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya |
Issue number | 3 |
State | Published - Jul 1994 |
ID: 86292159