منابع مشابه
On the Structure of Kergin Interpolation for Points in General Position
For n + 1 points in IR, in general position, the Kergin polynomial interpolant of C functions may be extended to an interpolant of C functions. This results in an explicit set of reduced Kergin functionals naturally stratified by their dependence on certain directional derivatives of order k, 0 ≤ k ≤ d − 1. We show that the polynomials dual to the functionals depending on derivatives of order k...
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this study intends to investigate samuel beckett’s waiting for godot and endgame under the lacanian psychoanalysis. it begins by explaining the most important concepts of lacanian psychoanalysis. the beckettian characters are studied regarding their state of unconscious, and not the state of consciousness as is common in most beckett studies. according to lacan, language plays the sole role in ...
Integral error formulæ for the scale of mean value interpolations which includes Kergin and Hakopian interpolation
In this paper, we provide an integral error formula for a certain scale of mean value interpolations which includes the multivariate polynomial interpolation schemes of Kergin and Hakopian. This formula involves only derivatives of order one higher than the degree of the interpolating polynomial space, and from it we can obtain sharp L∞-estimates. These L∞-estimates are precisely those that num...
متن کاملKergin approximation in Banach spaces
We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Kergin series diverges. Kergin interpolation is a generalization of both Lagrange interpolation in the one dimensional case, and the Taylor polynomial in the case where all interpolation points coincide. In several vari...
متن کاملC-convexity in Infinite-dimensional Banach Spaces and Applications to Kergin Interpolation
We investigate the concepts of linear convexity and C-convexity in complex Banach spaces. The main result is that any C-convex domain is necessarily linearly convex. This is a complex version of the Hahn-Banach theorem, since it means the following: given a C-convex domain Ω in the Banach space X and a point p / ∈Ω, there is a complex hyperplane through p that does not intersect Ω. We also prov...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1980
ISSN: 0021-9045
DOI: 10.1016/0021-9045(80)90117-3