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of 13
pro vyhledávání: '"Susanna Spektor"'
Publikováno v:
Mathematics, Vol 6, Iss 4, p 64 (2018)
Let f be a band-limited function in L 2 ( R ) . Fix T > 0 , and suppose f ′ exists and is integrable on [ − T , T ] . This paper gives a concrete estimate of the error incurred when approximating f in the root mean square by a partial sum of its
Externí odkaz:
https://doaj.org/article/39bf8c83d6214d3f963a4b4ed89b7408
Publikováno v:
Journal of Computational and Graphical Statistics. 32:294-303
Autor:
Susanna Spektor
Publikováno v:
Forum Mathematicum.
We obtained a non-commutative Khinchine-type inequality under assumption that Rademacher random variables are dependent under condition that the sum of them is equal to some integer M.
Autor:
Susanna Spektor
Publikováno v:
Bulletin of the London Mathematical Society. 53:1333-1337
Autor:
Susanna Spektor, Brendan Pass
Publikováno v:
Statistics & Probability Letters. 132:35-39
We consider Khintchine type inequalities on the p th moments of vectors of N k -wise independent Rademacher random variables. We show that an analogue of Khintchine’s inequality holds, with a constant N 1 ∕ 2 − k ∕ 2 p , when k is even. We th
Publikováno v:
Mathematics; Volume 6; Issue 4; Pages: 64
Mathematics, Vol 6, Iss 4, p 64 (2018)
Mathematics, Vol 6, Iss 4, p 64 (2018)
Let f be a band-limited function in L 2 ( R ) . Fix T > 0 , and suppose f ′ exists and is integrable on [ − T , T ] . This paper gives a concrete estimate of the error incurred when approximating f in the root mean square by a partial sum of its
Publikováno v:
Proceedings of the American Mathematical Society. 143:3839-3846
We solve the open problem of determining the second order term in the asymptotic expansion of the integral in Ball's integral inequality. In fact, we provide a method by which one can compute any term in the expansion. We also indicate how to derive
It is well-known that the $m$-th order cardinal $B$-spline wavelet, $\psi_{m},$ decays exponentially. Our aim in this paper is to determine the exact rate of this decay and thereby to describe the asymptotic behaviour of $\psi_{m}$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bbfef07689caada97b7170acc42f409
http://arxiv.org/abs/1708.08108
http://arxiv.org/abs/1708.08108
Publikováno v:
Journal of Approximation Theory
Journal of Approximation Theory, Elsevier, 2016, 212, pp.41-65
Journal of Approximation Theory, Elsevier, 2016, 212, pp.41-65
The aim of this paper is to investigate the quality of approximation of almost time and almost band-limited functions by its expansion in three classical orthogonal polynomials bases: the Hermite, Legendre and Chebyshev bases. As a corollary, this al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5697c30e2041df133da54bc6cfdb0ba1
http://hdl.handle.net/20.500.12278/114255
http://hdl.handle.net/20.500.12278/114255