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Simultaneous approximation by algebraic polynomials

Constructive Approximation, 1996
Some estimates for simultaneous polynomial approximation of a function and its derivatives are obtained. These estimates are exact in a certain sense. In particular, the following result is derived as a corollary: For \(f\in C^r[-1,1]\), \(m\in\mathbb{N}\), and any \(n\geq\max\{m+ r-1,2r+1\}\), an algebraic polynomial \(P_n\) of degree \(\leq n ...
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Simultaneous asymptotic Diophantine approximations

Mathematika, 1967
Let θ 1 , …, θ k be k real numbers. Suppose ψ( t ) is a positive decreasing function of the positive variable t . Define λ( N ), for all positive integers N , to be the number of solutions in integers p 1 …, p k , q of the inequalities ...
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On simultaneous approximation

2019
In this paper first we give two different definitions for best simultaneous Lp approximation to n functions and study the relation between best simultaneous approximation and best Lp approximations to the arithmetic mean of n functions. In addition we consider the definition and the theorem about the simultaneous approximation to n (n odd) functions in
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Simultaneous Trigonometric Approximation

Journal of Mathematics and Physics, 1952
Steinberg, R., Redheffer, R. M.
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Simultaneous Approximation

The Annals of Mathematics, 1950
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Robust Simultaneous Sparse Approximation

2015
This chapter considers sparse underdetermined (ill-posed) multivariate multiple linear regression model known in signal processing literature as multiple measurement vector (MMV) model. The objective is to find good recovery of jointly sparse unknown signal vectors from the given multiple measurement vectors which are different linear combinations of ...
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On Simultaneous Diophantine Approximations

Proceedings of the London Mathematical Society, 1946
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Simultaneous Diophantine Approximation

Journal of the London Mathematical Society, 1955
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Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit

Signal Processing, 2006
Joel A Tropp   +2 more
exaly  

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