Results 261 to 270 of about 5,263,505 (293)

The dual basis functions for the Bernstein polynomials

Advances in Computational Mathematics, 1998
The Bernstein polynomials \(B^n_i\), \(i=0,1,\dots,n\) form a basis of the \((n+1)\)-dimensional real linear space \(P^n\) of all polynomials of maximal degree \(n\). The dual basis functions \(D^n_j\) with respect to the inner product of \(L^2[0,1]\) can be represented as linear combinations of the \(B^n_i\).
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BERNSTEIN-SATO POLYNOMIALS AND FUNCTIONAL EQUATIONS

Algebraic Approach to Differential Equations, 2010
These notes are an expanded version of the lectures given in the frame of the I.C.T.P. School held at Alexandria in Egypt from 12 to 24 November 2007. Our purpose in this course was to give a survey of the various aspects, algebraic, analytic and formal, of the functional equations which are satisfied by the powers fs of a function f and involve a ...
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On localization of functions in the Bernstein space

Lithuanian Mathematical Journal, 2007
For ϱ > 0, let $$L^1 (\mathbb{R})$$ be the closed subspace of L 1(ℝ) consisting of functions ƒ having the Fourier transforms ƒ concentrated in [−ϱ, ϱ]. Let a > 0. In this paper, we consider the problem of maximal localization of the L
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Bernstein theorems for harmonic functions

1993
Here and in the future we use the notation ...
Thomas Bagby, Norman Levenberg
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The Novel Stochastic Bernstein Method of Functional Approximation

First NASA/ESA Conference on Adaptive Hardware and Systems (AHS'06), 2006
The stochastic Bernstein method (not to be confused with the Bernstein polynomials) is a novel and significantly improved non-polynomial global method of signal processing that is proving very useful for interpolating and for approximating data. It arose as an obvious extension of the work of Bernstein (it preserves some of the remarkable properties of
Kolibal, Joseph, Howard, Daniel
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On exposed functions in Bernstein spaces

Lithuanian Mathematical Journal, 2008
For σ > 0, the Bernstein space {ie427-01} consists of those L1(ℝ) functions whose Fourier transforms are supported by [−σ, σ]. Since {ie427-02} is separable and dual to some Banach space, the closed unit ball {ie427-03} of {ie427-04} has sufficiently large sets of both exposed and strongly exposed points: {ie427-05} coincides with the closed convex ...
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On interpolation function of the Bernstein polynomials

2012
International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar, vol.
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The Bernstein Polynomials for Discontinuous Functions

American Journal of Mathematics, 1946
Herzog, Fritz, Hill, J. D.
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On estimating the Bernoulli regression function using Bernstein polynomials

Communications in Statistics - Theory and Methods, 2021
E A Nadaraya
exaly  

A note on new Bernstein-type inequalities for the log-likelihood function of Bernoulli variables

Statistics and Probability Letters, 2020
Yunpeng Zhao
exaly