Titlebook: Approximation and Optimization; Proceedings of the I Juan Alfredo Gómez-Fernandez,Francisco Guerra-Vázq Conference proceedings 1988 Springe

Psychogenic

思考

雜役

https://doi.org/10.1007/978-3-642-90629-9The author presents two mathematical models for representing the trajectories of inclined oil-wells. The main tool is parametric quadratic splines approximation with free knots. Formulas for calculating the solutions are obtained explicitly and both models are compared.

Lipoprotein

使高興

Nonparametric polynomial density estimation in the ,, norm,A simple construction of polynomial estimators for densities and distributions on the unit interval is presented. For densities from certain Lipschitz classes the error for the mean L. deviation is characterised. The Casteljeau algorithm for calculating the values of the estimators is applied.

glucagon

Local spline interpolation schemes in one and several variables,In the first part of this paper we briefly review some recent results pertaining to the construction of compactly supported fundamental functions for univariate Lagrange interpolation by splines. In the second part of the paper we discuss several possible extensions of these results to a multivariate setting.

forager

fatty-streak

Convergence of pade approximants in a non-commutative algebra,Properties of convergence of Padé approximants [n+k+1/k]. are proved by using theorems of convergence of non-commutative continued fractions.

profligate

,On the rational approximation of HP functions in the LP(μ) metric,Upper estimates of the best L.(μ) rational approximation of H. functions are found when μ is a Carleson measure on the interval (?1,1).

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