Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Hans-Peter Blatt"'
Autor:
Hans-Peter Blatt
Publikováno v:
Constructive Approximation. 56:505-535
A theorem of Grothmann states that interpolating polynomials to a holomorphic function on a compact set E is maximally convergent to f only if a subsequence of the interpolation points converges to the equilibrium distribution of E in the weak* sense
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb6496bfc8bb116b681eb81b1e006d2a
https://doi.org/10.1007/s00365-022-09564-7
https://doi.org/10.1007/s00365-022-09564-7
Autor:
Claus-Peter Schnorr, Hermann Walter, Volker Claus, Wolffried Stucky, Hans-Peter Blatt, Otto Spaniol, Gerd Kaufholz, Rainer Kemp, Wolfgang Paul, Eberhard Bertsch, Herbert Kopp, Manfred Stadel, Ulrich Schmitt, Wolfgang Weidner, Wolfgang Gräber, Dung Huynh, Rockford Ross, Michael Breder, Klaus Estenfeld, Axel Pink, Jan Messerschmidt, Hans Simon, Bernd Becker, Rolf Strothmann, Peter Auler, Johannes Arz, Paul Molitor, Reiner Kolla, Thomas Kretschmer, Franz Josef Schmitt, Ursula Becker, Reiner Marzinkewitsch, Hans Georg Osthof, Uwe Sparmann, Jürgen Sellen, Joachim Hartmann, Yonggang Guan, Gisela Sparmann, Hongzhong Wu, Elmar Schömer, Thomas Burch, Björn Schieffer, Christoph Scholl, Frank Follert, Thomas Chadzelek, Frank Schulz, Jens Eckstein, Matthias Buck, Bin Zhu, Alexander Gamkrelidze, Jörg Sauer, Timo von Oertzen, Tobias Gärtner, Christopher Durst
Publikováno v:
Festschrift zum 90. Geburtstag von Prof. Dr. Dr. h.c. mult. Günter Hotz ISBN: 9783658378219
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32e48b6842861657b3f0a0df274a2dcd
https://doi.org/10.1007/978-3-658-37822-6_1
https://doi.org/10.1007/978-3-658-37822-6_1
Autor:
René Grothmann, Hans-Peter Blatt
Publikováno v:
Annales Polonici Mathematici.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93e5d4aacf9a2f7ce2f0e573095ceae9
https://doi.org/10.4064/ap180803-4-4
https://doi.org/10.4064/ap180803-4-4
Autor:
Hans-Peter Blatt
Publikováno v:
Computational Methods and Function Theory. 15:605-633
Let E be a compact, connected set in \(\mathbb {C}\) with regular, connected complement, and let f be meromorphic on E with maximal Green domain \(E_{\rho (f)}\) of meromorphy, \(\rho (f) < \infty \). We investigate rational approximations \(r_{n,m_n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3215a5a78060846f5a3c4da2537f428f
https://doi.org/10.1007/s40315-015-0126-y
https://doi.org/10.1007/s40315-015-0126-y
Autor:
Hans-Peter Blatt, Ralitza K. Kovacheva
Publikováno v:
Journal of Approximation Theory. 191:46-57
The paper investigates the distribution of interpolation points of m 1 -maximally convergent multipoint Pade approximants with numerator degree ? n and denominator degree ? m n for meromorphic functions f on a compact set E ? C , where m n = o ( n /
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf13cc0a39a449269e2b1d61dbec4776
https://doi.org/10.1016/j.jat.2014.04.004
https://doi.org/10.1016/j.jat.2014.04.004
Autor:
Hans-Peter Blatt
Publikováno v:
Banach Center Publications. 107:63-78
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c662ff1919bf5c385a935a73906866a
https://doi.org/10.4064/bc107-0-5
https://doi.org/10.4064/bc107-0-5
Autor:
Hans-Peter Blatt
Publikováno v:
Springer Optimization and Its Applications ISBN: 9783319492407
Let E be a compact set in \(\mathbb{C}\) with regular connected complement Ω, and let f be meromorphic on E with maximal Green domain of meromorphy Eρ(f), ρ(f) < ∞. We investigate rational approximants \(r_{n,m_{n}}\) of f with numerator degree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25af084cc62bda405771eca2a3128f9b
https://doi.org/10.1007/978-3-319-49242-1_18
https://doi.org/10.1007/978-3-319-49242-1_18
Autor:
Hans-Peter Blatt
Publikováno v:
Publications de l'Institut Math?matique (Belgrade). 96:31-39
Let f be meromorphic on the compact set E ? C with maximal Green domain of meromorphy Ep(f), p(f) < ?. We investigate rational approximants with numerator degree ? n and denominator degree ? mn for f. We show that the geometric convergence rate on E
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4010d9317f927403b9dacaed22c103c0
https://doi.org/10.2298/pim1410031b
https://doi.org/10.2298/pim1410031b
Autor:
Hans-Peter Blatt, Regina Fieger
Publikováno v:
Electronic Notes in Discrete Mathematics. 43:401-409
In 1950 P. Erdős and P. Turan published a discrepancy theorem for the zeros of a polynomial. Therein, the maximum deviation of the normalized zero counting measure from the equilibrium measure of the unit circle is estimated. Many other discrepancy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d72502db62966e0587b8e41facf2331f
https://doi.org/10.1016/j.endm.2013.07.059
https://doi.org/10.1016/j.endm.2013.07.059
Publikováno v:
Abstr. Appl. Anal.
Abstract and Applied Analysis, Vol 2012 (2012)
Abstract and Applied Analysis, Vol 2012 (2012)
The distribution of zeros and poles of best rational approximants is well understood for the functions 𝑓 ( 𝑥 ) = | 𝑥 | 𝛼 , 𝛼 > 0 . If 𝑓 ∈ 𝐶 [ − 1 , 1 ] is not holomorphic on [ − 1 , 1 ] , the distribution of the zeros of be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b88ab53e62e55610cf460e7fc9255f89
https://doi.org/10.1155/2012/961209
https://doi.org/10.1155/2012/961209