Results 201 to 210 of about 80,472 (232)
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Reversion of Chebyshev’s Inequality
Theory of Probability & Its Applications, 1996Summary: In terms of the moment-generating function of a random variable, we derive a lower bound for the tail of its distribution without an excursion into the complex domain.
Bagdasarov, D. R., Ostrovskij, E. I.
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Computer Aided Geometric Design, 1999
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Computer Aided Geometric Design, 1999
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Marie-Laurence Mazure +1 more
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Marie-Laurence Mazure +1 more
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Chebyshev rational interpolation
Numerical Algorithms, 1997Denote by \(E_\rho\), \(0 \leq \rho \leq 1\), the closed ellipse in \(\mathbb C\) with the boundary \[ \partial E_\rho = \{ t+ \rho t^{-1}:\;|t|=1 \}, \] and \[ s_j(z)=w^j+(\rho/w)^j, \quad z=w+\rho/w, \quad j=2, \dots, \] the corresponding Chebyshev polynomials. The paper faces the problem of the efficient computation of all the rational functions \[ \
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Chebyshev and Modified Chebyshev Filters
2019Chebyshev (C) filters are among the most frequently used. Their transfer function is obtained via the characteristic function (which is introduced in this chapter) to offer the most selective polynomial filters of all. In addition, their amplitude characteristic in the passband is equi-ripple.
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Chebyshev Spaces of Polynomials
SIAM Journal on Numerical Analysis, 1976Spaces of polynomials of degrees $ \leqq n - 1$ which satisfy $r < n$ interpolatory conditions of the form $p^{(j)} (\xi _i ) = 0$ are discussed. Necessary and sufficient conditions for such spaces to be Chebyshev spaces are given.
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A note on Chebyshev polynomials
ANNALI DELL UNIVERSITA DI FERRARA, 2001Here new families of generating functions and identities concerning the Chebyshev polynomials are derived. It is shown that the proposed method allows the derivation of sum rules involving products of Chebyshev polynomials and addition theorems. The possibility of extending the results to include generating functions involving products of Chebyshev and
DATTOLI G. +2 more
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Chebyshev Approximation by Exponentials
Journal of the Society for Industrial and Applied Mathematics, 1962are considered. For n = 1 the theory is given in [3]. The principal theoretical questions of existence, uniqueness and characterization of best approximations are answered for this approximating function. The problem of the computation of best approximations is unsolved.
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Chebyshev–Schoenberg Operators
Constructive Approximation, 2010The present paper generalizes the results of \textit{M.-L. Mazure} [Numer. Algorithms 52, No. 1, 93--128 (2009; Zbl 1200.41023)] to Schoenberg-type operators. It is shown that a given spline space based on a given extended Chebyshev space gives birth to infinitely many variation-diminishing operators of Schoenberg-type, characterized by the two ...
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Ephemerides in chebyshev series
Mechanics Research Communications, 1974In c e l e s t i a l m e c h a n i c s one c a l l s t h e o r y a d i c t i o n a r y o f f o r mulas t o r e p r e s e n t a p p r o x i m a t e l y a c l a s s o f s o l u t i o n s to v a r i a n t s o f t h e p r o b l e m o f n b o d i e s . The l i t e r a l s e r i e s a r e e v a l u a t e d a t e q u i d i s t a n t t i m e s , and t h e r e ...
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