Results 201 to 210 of about 1,875,358 (236)
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Approximation by the $[r]$-Baskakov sequence
Applicationes MathematicaeThis article presents a modification of the classical Baskakov sequence utilizing a positive integer parameter \(r\) to achieve a higher order of approximation. Using Korovkin's theorem, the authors establish its convergence. A Voronovskaya-type asymptotic theorem is subsequently established for the modified sequence.
Jaddoa, Ali A., Mohammad, Ali J.
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Poisson Process Approximation for Sequence Repeats, and Sequencing by Hybridization
Journal of Computational Biology, 1996Sequencing by hybridization is a tool to determine a DNA sequence from the unordered list of all l-tuples contained in this sequence; typical numbers for l are l = 8, 10, 12. For theoretical purposes we assume that the multiset of all l-tuples is known.
Richard Arratia +3 more
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The Uniform Approximation of a Sequence of Integrals
American Journal of Mathematics, 1931Nach Lebesgue gibt es für endlich viele, über \((a, b)\) summierbare Funktionen \(g_1, \ldots, g_p\) mindestens eine Zerlegung \(\alpha\) von \((a, b)\) in endlich viele Teilintervalle und dabei in jedem Teilintervall mit der Länge \(\alpha_i\) einen Punkt \(\xi_i\), derartig, daß \[ \left|\int_a^b g_h\,dx-\sum_i g_h(\xi_i)\cdot\alpha_i\right|
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A systematic sequence of relativistic approximations
Journal of Computational Chemistry, 2002AbstractAn approach to the development of a systematic sequence of relativistic approximations is reviewed. The approach depends on the atomically localized nature of relativistic effects, and is based on the normalized elimination of the small component in the matrix modified Dirac equation.
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Approximate Optimal Stopping of Dependent Sequences
Theory of Probability & Its Applications, 2004We consider optimal stopping of sequences of random variables satisfying some asymptotic independence property. Assuming that the embedded planar point processes converge to a Poisson process, we introduce some further conditions to obtain approximation of the optimal stopping problem of the discrete time sequence by the optimal stopping of the ...
Kühne, Robert, Rüschendorf, Ludger
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A sequence of Gamma-type approximation operators
Mathematical Proceedings of the Cambridge Philosophical Society, 1984AbstractA sequence of Gamma-type approximation operators n(f) (n = 1,2,…) (which reduce to the Gamma operators, Gn (n = 1,2,…), defined by Müller in a particular case) has been defined. Uniform convergence of n(f) towards f on fixed intervals [x1, x2] (0 ≦ x1 ≦ x2 < ∞) has been proved and a simple example has been given in support of the proof.
Upreti, Rita, Joshi, J. M. C.
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Approximating Classes of Sequences
2017In the last 20 years, an asymptotic approximation theory for matrix-sequences has been developed. The aim was to obtain sufficiently powerful tools for computing the asymptotic singular value and eigenvalue distribution of a ‘difficult’ matrix-sequence \(\{A_n\}_n\) from the asymptotic singular value and eigenvalue distributions of ‘simpler’ matrix ...
Carlo Garoni, Stefano Serra-Capizzano
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On Compound Poisson Approximation for Sequence Matching
Combinatorics, Probability and Computing, 2000Consider sequences { X i } m i =1 and {
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Asymptotically Invariant Sequences and Approximate Finiteness
American Journal of Mathematics, 1987Let G be a countable group, (X,\({\mathcal S},\mu)\) a nonatomic Lebesgue probability space, and (g,x)\(\to gx\) a nonsingular, ergodic action of G on (X,\({\mathcal S},\mu)\). The action of G is called strongly ergodic if every asymptotically invariant sequence \((B_ n)_{n\in N}\) in \({\mathcal S}\) is trivial, i.e. if \(\mu (B_ n\Delta gB_ n)\to 0\)
Jones, Vaughan F. R., Schmidt, Klaus
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Approximation of random sequences
Journal of Soviet Mathematics, 1986Translation from Problems of stability of stochastic models, Proc. Semin., Moskva 1981, 4-10 (Russian) (1981; Zbl 0569.60035).
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