This paper deals with a modification of the classical Bernstein polynomials defined on the unit simplex. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x 2 + Ξ±x and y 2 + Ξ²y with Ξ±, Ξ² β [0, +β). We study the convergence properties of the new approxim
Bernstein processes and Pauli-type equations
β Scribed by Boualem Djehiche
- Book ID
- 105049332
- Publisher
- Springer Netherlands
- Year
- 1993
- Tongue
- English
- Weight
- 838 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0926-2601
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## Abstract We have reduced the Breitβtype equation written down for 3 electrons to the 8 large components of the wave function in the (__v__/__c__)^2^ (Pauli) approximation. This procedure required appropriate handling of the 64 scalar equations which result in this instance. According to the resu
We continue the study of the generalization of Bernstein operators introduced previously, obtained by requiring suitable recursive relations on the binomial-type coefficients. We show that these operators can be used to approximate the solutions of some degenerate second order parabolic problems.