Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Thomas Kunkle"'
Autor:
Thomas Kunkle
Publikováno v:
Journal of Symbolic Computation. 89:109-120
A generalization of the flat extension theorems of Curto and Fialkow and Laurent and Mourrain is obtained by seeing the problem as one of ideal projection.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be36f02a97e44e8521b63106336b3c3d
https://doi.org/10.1016/j.jsc.2017.11.007
https://doi.org/10.1016/j.jsc.2017.11.007
Autor:
Thomas Kunkle
Publikováno v:
Journal of Approximation Theory. 163:1465-1477
This is a study of Favard interpolation–in which the n th derivatives of the interpolant are bounded above by a constant times the n th divided differences of the data–in the case where the data are given on some subset of a rectangular lattice i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::665693147e8badc2b97a741ac5be2387
https://doi.org/10.1016/j.jat.2011.05.007
https://doi.org/10.1016/j.jat.2011.05.007
Autor:
Thomas Kunkle
Publikováno v:
Constructive Approximation. 18:467-478
Given scattered data on the real line, Favard [4] constructed an interpolant which depends linearly and locally on the data and whose nth derivative is locally bounded by the nth divided differences of the data times a constant depending only on n. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59ddee17395697e78d183487ccf71687
https://doi.org/10.1007/s00365-001-0015-7
https://doi.org/10.1007/s00365-001-0015-7
Autor:
Thomas Kunkle
Publikováno v:
Constructive Approximation. 15:311-336
We generalize the exponential box spline by allowing it to have arbitrarily spaced knots in any of its directions and derive the corresponding recurrence and differentiation rules. The corresponding spline space is spanned by the shifts of finitely m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1a86972a0e2322075cf799011c765c0
https://doi.org/10.1007/s003659900110
https://doi.org/10.1007/s003659900110
Autor:
Thomas Kunkle
Publikováno v:
Journal of Approximation Theory. 84(3):290-314
We generalize the univariate divided difference to a multivariate setting by considering linear combinations of point evaluations that annihilate the null space of certain differential operators. The relationship between such a linear functional and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5f08bf951962488bce78003a867e998
Autor:
Christopher Godsil, Thomas Kunkle, Dinesh Sarvate, Esther Lamken, Warwick de Launey, Donald Keedwell, Harald Gropp, Herbert Taylor, Douglas Stinson, C Rodger, Julian Abel, Charles Colbourn, Dieter Jungnickel, Alexander Pott, Ken Smith, Frank Bennett, Alireza Mahmoodi, Hadi Kharaghani, C Lindner, Paul Schellenberg, Deborah Street, Charles Laywine, Stanley Payne, Katherine Heinrich, Yeow Meng Chee, null Craigen, Lucien Beneteau, Jeffrey Dinitz, Anthony Evans, Eric Mendelsohn, Brian Alspach, Jürgen Bierbrauer, Jennifer Seberry, Joseph Thas, Anne Penfold Street, Mohan Shrikhande, G John van Rees, L Zhu, Norman Finizio, Christos Koukouvinos, Nabil Shalaby, Stuart Hoggar, Hong-Yeop Song, Earl Kramer, Peter Danziger, Peter Rodney, Dijen Ray-Chaudhuri, R Craigen, Ian Anderson, Donald Preece
Publikováno v:
Discrete Mathematics and Its Applications ISBN: 9780849389481
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cef7b1b21ec82fd46521bea23dffaa5
https://doi.org/10.1201/9781420049954.pt4
https://doi.org/10.1201/9781420049954.pt4
Autor:
Thomas Kunkle
Publikováno v:
Approximation and Computation: A Festschrift in Honor of Walter Gautschi ISBN: 9781468474176
A proof of Favard can be restructured using quasi-interpolants of the type discussed in these proceedings [6] and his result strengthened.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a765088d7f65ec99e3f644c6def47329
https://doi.org/10.1007/978-1-4684-7415-2_22
https://doi.org/10.1007/978-1-4684-7415-2_22
Autor:
Thomas Kunkle
Publikováno v:
Approximation, Probability, and Related Fields ISBN: 9781461360636
From an s-variate continuous function whose positive and negative parts both have infinite Lebesgue integral, we construct a continuous rearrangement whose generalized Riemann integral equals any prescribed value. The original function is assumed to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88d83b58ca4ed1b0b777fa932b0658da
https://doi.org/10.1007/978-1-4615-2494-6_26
https://doi.org/10.1007/978-1-4615-2494-6_26
Autor:
A. S. Cavaretta, Thomas Kunkle
Publikováno v:
The American Mathematical Monthly. 100:798
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a9c2fc3d3ae6a74da85e05b73ccdbeb
https://doi.org/10.2307/2324795
https://doi.org/10.2307/2324795
Autor:
Thomas Kunkle
Publikováno v:
Journal of Approximation Theory. (1):19-48
The subject of this investigation is the class of difference functionals—linear combinations of finitely many function and/or derivative evaluations—which annihilate the nullspace of a certain constant coefficient differential operator. Any such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b850f03586cea00e79611931d6501ab8