Zobrazeno 1 - 10
of 43
pro vyhledávání: '"R. L. Stens"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 3, Iss 1, Pp 47-67 (1980)
This paper is concerned with the continuous Legendre transform, derived from the classical discrete Legendre transform by replacing the Legendre polynomial Pk(x) by the function Pλ(x) with λ real. Another approach to T.M. MacRobert's inversion form
Externí odkaz:
https://doaj.org/article/5e499c6dffbf42a5a8bdd4b57a1292e8
Publikováno v:
Journal of Approximation Theory. 212:1-40
The purpose of this investigation is to extend basic equations and inequalities which hold for functions f in a Bernstein space B σ 2 to larger spaces by adding a remainder term which involves the distance of f from B σ 2 . First we present a modif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff8903d4971bb5865526ae41c7342942
https://doi.org/10.1016/j.jat.2016.08.001
https://doi.org/10.1016/j.jat.2016.08.001
Autor:
R. L. Stens, Paul L. Butzer
Publikováno v:
Journal of Approximation Theory. 257:105452
After the appearance of the article “A retrospective on 60 years of approximation theory and associated fields” (J. Approx. Theory 160 (1–2) (2009) 3–18), several readers informed me (PLB) that they would like to see an article based upon res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99cb85ecba178883778ec67e0bc5bf61
https://doi.org/10.1016/j.jat.2020.105452
https://doi.org/10.1016/j.jat.2020.105452
Autor:
J. R. Higgins, Gerhard Schmeisser, Paul L. Butzer, Maurice Dodson, R. L. Stens, Paulo J. S. G. Ferreira
Publikováno v:
Bulletin of Mathematical Sciences. 4:481-525
The present paper deals mainly with seven fundamental theorems of mathematical analysis, numerical analysis, and number theory, namely the generalized Parseval decomposition formula (GPDF), introduced 15 years ago, the well-known approximate sampling
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9e7a1799972a854d2d6d38bea931666
https://doi.org/10.1007/s13373-014-0057-3
https://doi.org/10.1007/s13373-014-0057-3
Publikováno v:
Journal of Approximation Theory. 179:94-111
It is shown that three versions of the sampling theorem of signal analysis are equivalent in the sense that each can be proved as a corollary of one of the others. The theorems in question are the sampling theorem for functions belonging to the Berns
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::038b2e7358e7817915b3d6454d645556
https://doi.org/10.1016/j.jat.2013.11.010
https://doi.org/10.1016/j.jat.2013.11.010
Publikováno v:
Banach Center Publications. 102:41-55
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9f2090917a635ccc11bbc370e4c4645
https://doi.org/10.4064/bc102-0-2
https://doi.org/10.4064/bc102-0-2
Publikováno v:
Journal of Fourier Analysis and Applications. 19:333-375
There are various basic relations (equations and inequalities) that hold in Bernstein spaces \(B_{\sigma}^{p}\) but are no longer valid in larger spaces. However, when a function f is in some sense close to a Bernstein space, one may expect that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::655e05507df4f16286626000cd286ef9
https://doi.org/10.1007/s00041-013-9263-8
https://doi.org/10.1007/s00041-013-9263-8
Publikováno v:
Results in Mathematics. 59:359-400
This paper is concerned with the two summation formulae of Euler–Maclaurin (EMSF) and Abel–Plana (APSF) of numerical analysis, that of Poisson (PSF) of Fourier analysis, and the approximate sampling formula (ASF) of signal analysis. It is shown t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88099604fc3ef7a92a03cfb607a4a63f
https://doi.org/10.1007/s00025-010-0083-8
https://doi.org/10.1007/s00025-010-0083-8
Autor:
P. Seidler, Paul L. Butzer, Paulo J. S. G. Ferreira, O. Lange, J. R. Higgins, M.M. Dodson, R. L. Stens
Publikováno v:
Applicable Analysis. 90:643-688
This article discusses the interplay between multiplex signal transmission in telegraphy and telephony, and sampling methods. It emphasizes the works of Herbert Raabe (1909–2004) and Claude Shannon (1916–2001) and the context in which they occurr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26d6b67e147600b5892ca0637230c7cc
https://doi.org/10.1080/00036811.2010.549474
https://doi.org/10.1080/00036811.2010.549474
Publikováno v:
Applicable Analysis. 90:431-461
It is shown that the Whittaker–Kotel'nikov–Shannon sampling theorem of signal analysis, which plays the central role in this article, as well as (a particular case) of Poisson's summation formula, the general Parseval formula and the reproducing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3d5d4c059c117fd2abcd02fc2f34fde
https://doi.org/10.1080/00036811003627567
https://doi.org/10.1080/00036811003627567