Zobrazeno 1 - 10
of 102
pro vyhledávání: '"József Szabados"'
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society a
Autor:
András Kroó, József Szabados
Publikováno v:
Proceedings of the American Mathematical Society.
In this paper we consider multivariate approximation by weighted polynomials of the form w γ n ( x ) p n ( x ) w^{\gamma _n}(\mathbf {x})p_n(\mathbf {x}) , where p n p_n is a multivariate polynomial of degree at most n n , w w is a given nonnegative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c60d16d86f746cd410e577bc90402790
https://doi.org/10.1090/proc/14882
https://doi.org/10.1090/proc/14882
Autor:
József Szabados, Theodore Kilgore
Publikováno v:
Journal of Mathematical Analysis and Applications. 473:1165-1173
A recent article of the first author presented a constructive proof for the Weierstrass approximation theorem for a wide class of weighted spaces of continuous functions defined on [ 0 , ∞ ) , using Chlodovsky's generalization of the Bernstein poly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a31a8846f33e38802b2c32bb59ac7546
https://doi.org/10.1016/j.jmaa.2019.01.014
https://doi.org/10.1016/j.jmaa.2019.01.014
Autor:
József Szabados, András Kroó
Publikováno v:
Journal of Mathematical Analysis and Applications. 436:1165-1179
In the present paper we will use the inverse polynomial image method in order to construct optimal nodes of interpolation on unions of disjoint intervals. We will show how this method works on those disjoint intervals which possess so-called T-polyno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::684cd0e28fb9d40bfab353d05dcc6d9c
https://doi.org/10.1016/j.jmaa.2015.12.032
https://doi.org/10.1016/j.jmaa.2015.12.032
Autor:
Alexey Lukashov, József Szabados
Publikováno v:
Periodica Mathematica Hungarica. 72:103-111
We consider Lagrange interpolation on the set of finitely many intervals. This problem is closely related to the least deviating polynomial from zero on such sets. We will obtain lower and upper estimates for the corresponding Lebesgue constant. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::745d4736a598072e6b023eaade4a37cc
https://doi.org/10.1007/s10998-015-0106-z
https://doi.org/10.1007/s10998-015-0106-z
Autor:
József Szabados
Publikováno v:
Journal of Mathematical Analysis and Applications. 485:123807
It is known that the Jackson-Favard inequality on polynomial approximation with respect to the weight exp ( − | x | ) fails to hold [6] . We show that this phenomenon holds for higher derivatives as well, while a modified version suggested by L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53f26ffa04679953cfa98687cd61d4fd
https://doi.org/10.1016/j.jmaa.2019.123807
https://doi.org/10.1016/j.jmaa.2019.123807
Autor:
József Szabados
Publikováno v:
Journal of Approximation Theory. 196:1-12
We consider a special case of the modification of Lagrange interpolation due to Bernstein. Compared to Lagrange interpolation, these operators interpolate at less points, but they converge for all continuous functions in case of the Chebyshev nodes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18535b164b66830ec1c4b5b3bd4bfaa4
https://doi.org/10.1016/j.jat.2015.02.009
https://doi.org/10.1016/j.jat.2015.02.009
Autor:
Krishnaswami Alladi, Steven Krantz, Noga Alon, D. A. Goldston, András Sárközy, József Szabados, Gérald Tenenbaum, Stephan Ramon Garcia, Amy L. Shoemaker
Publikováno v:
Notices of the American Mathematical Society. 62:226-247
This is Part II of the two-part feature on Paul Erdős following his centennial. Part I had contributions from Krishnaswami Alladi and Steven G. Krantz, Vera T. Sos and Laszlo Lovasz, Ronald Graham and Joel Spencer, Jean-Pierre Kahane, and Mel Nathan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78eecba173a906963b06bc536f582cbc
https://doi.org/10.1090/noti1223
https://doi.org/10.1090/noti1223
Publikováno v:
Mediterranean Journal of Mathematics. 12:433-454
Two operators are introduced for the weighted L p approximation on the semiaxis with weight w β (x) = x α exp(−x β ), α > −1/p, 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ce416e2ace620f6991da534b6904abe
https://doi.org/10.1007/s00009-014-0413-2
https://doi.org/10.1007/s00009-014-0413-2
Autor:
József Szabados, András Kroó
Publikováno v:
Constructive Approximation. 39:397-419
Multivariate incomplete polynomials are considered on compact 0-symmetric starlike domains. Problems of density and quantitative approximation properties of such polynomials are investigated. It is shown that density holds for a certain class of star
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79c2485f09b16206b5f7d27d548e93f0
https://doi.org/10.1007/s00365-013-9218-y
https://doi.org/10.1007/s00365-013-9218-y