易达到
发表于 2025-3-25 04:25:05
Some examples in approximation on the unit disk by reciprocals of polynomials,ablished for a certain class of functions f analytic and nonzero in the disk |z|<1 and continuous on |z|≤1. Furthermore, we obtain the sharp degree of convergence for reciprocal polynomial approximation on |z|≤1 to functions f that are analytic on |z|≤1, nonzero in |z|<1, and vanish somewhere on |z|=1.
新义
发表于 2025-3-25 08:15:13
Properties of projections obtained by averaging certain polynomial interpolants,ach of which interpolates . at . equidistant points on the unit circle. The paper discusses properties of the projections so defined. Norms of these projections are calculated and the asymptotic behavior is characterized. Furthermore, these averages are used to approximate Laurent sections.
FLIP
发表于 2025-3-25 15:01:17
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Chromatic
发表于 2025-3-25 16:02:49
https://doi.org/10.1007/BFb0078895Approximation; Eigenvalue; algorithms; analytic function; approximation theory; behavior; boundary element
Culmination
发表于 2025-3-25 22:52:26
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Culpable
发表于 2025-3-26 02:44:19
Lecture Notes in Mathematicshttp://image.papertrans.cn/b/image/160408.jpg
FADE
发表于 2025-3-26 06:01:46
Ergebnisse der Chirurgie und OrthopädieWhile Szegö type asymptotics of orthonormal polynomials are classical, there has been a longstanding lack of corresponding results for L. extremal polynomials, p≠2. In particular, in a 1969 paper, Widom raised the question of p=∞. Here we fill some of the gaps for 1<p≤∞.
手工艺品
发表于 2025-3-26 09:30:38
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Mediocre
发表于 2025-3-26 15:17:28
Ergebnisse der Chirurgie und OrthopädieIn this note it is shown that the asymptotic error estimate for weighted Chebyshev polynomials holds true under the same assumptions as those normaly required for the classical non-weighted case.
清晰
发表于 2025-3-26 20:33:59
Ergebnisse der Chirurgie und OrthopädieWe study existence and uniqueness problems associated with different definitions of rational interpolants with free or prescribed poles. The treatment of the subject is rather general; it includes interpolation at infinity, at confluent points, and interpolation in polar singularities.