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Simultaneous approximation by algebraic polynomials
Constructive Approximation, 1996Some 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, 1967Let 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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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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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, 1952Steinberg, R., Redheffer, R. M.
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Robust Simultaneous Sparse Approximation
2015This 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, 1946openaire +2 more sources
Simultaneous Diophantine Approximation
Journal of the London Mathematical Society, 1955openaire +2 more sources
Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit
Signal Processing, 2006Joel A Tropp +2 more
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