Results 11 to 20 of about 1,314,718 (282)
Quantitative Khintchine in simultaneous approximation
11 pages, comments welcome!
Shreyasi Datta, Datta, Shreyasi,
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Best simultaneous L1 approximations [PDF]
AbstractThree possible definitions are proposed for best simultaneous L1 approximation to n continuous real-valued functions, and the relation between best simultaneous approximations and best L1 approximations to the arithmetic mean of the n functions is discussed.
Holland, A.S.B +3 more
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RESTRICTED SIMULTANEOUS DIOPHANTINE APPROXIMATION [PDF]
We study the problem of Diophantine approximation on lines in $\mathbb{R}^d$ under certain primality restrictions.
Baier, Stephan, Ghosh, Anish
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In this exposition, we investigate in an extended framework the problem of simultaneous best approximation. Refinement of a formula for the subdifferential of restricted radius of a p-bounded set leads us to explore some interesting results on strong uniqueness of simultaneous best approximants. In particular, we also.
LAURENT, PJ, PAI, D
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Invariant Points and ๐-Simultaneous Approximation [PDF]
We generalize and extend Brosowski-Meinardus type results on invariant points from the set of best approximation to the set of ๐-simultaneous approximation. As a consequence some results on ๐-approximation and best approximation are also deduced.
Sumit Chandok, T. D. Narang
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New Characterization for Nonlinear Weighted Best Simultaneous Approximation
This paper is concerned with the problem of a wide class of weighted best simultaneous approximation in normed linear spaces, and it establishes a new characterization result for the class of approximation by virtue of the notion of simultaneous regular ...
Xianfa Luo, Delin Wu, Jinsu He
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Simultaneous Approximation and Quasi-Interpolants
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Zhao, Kang
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Weighted Simultaneous Approximation of the Linear Combinations of Baskakov Operators
In this paper, the approximation property of the linear combinations of Baskakov operators is investigated by using a Jacobi weight function. Moreover, both the positive and inverse theorems for the weighted simultaneous approximation of the linear ...
Xiao-jun Tang, Xin-chang Wang, Hua Yi
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Degree of simultaneous approximation by Birkhoff splines [PDF]
In the present note we study the degree of simultaneous approximation by certain Birkhoff spline interpolation operators. Special emphasis is on estimates in terms of higher order moduli of smoothness. This generalizes earlier results of Meir and Sharma,
Heiner Gonska, Daniela Kacsรณ
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On simultaneous approximation [PDF]
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.
Karakus H.
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