Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Theodore Kilgore"'
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:
Theodore Kilgore
Publikováno v:
Mediterranean Journal of Mathematics. 14
This article presents a constructive proof for the Weierstrass approximation theorem in weighted spaces of continuous functions defined on $$[0, \infty )$$ or on $$(-\infty , \infty )$$ , using Chlodovsky’s generalization of Bernstein’s approxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dbdf5da0ad67841e721976a65d1a15f
https://doi.org/10.1007/s00009-017-1011-x
https://doi.org/10.1007/s00009-017-1011-x
Autor:
Manfred Tasche, Theodore Kilgore
Publikováno v:
Journal of Computational Analysis and Applications. 1:239-261
Simultaneous approximation means that a given sufficiently smooth function g:[-1, 1]→ℝ and its derivatives up to order q are approximated by a single polynomial p and its derivatives. This paper deals with new error estimates (in a weighted norm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68360080e166d9c2663057b6a16c154d
https://doi.org/10.1023/a:1021949431143
https://doi.org/10.1023/a:1021949431143
Autor:
Michael Felten, Theodore Kilgore
Publikováno v:
Results in Mathematics. 30:79-92
We investigate inequalities for derivatives of trigonometric and algebraic polynomials in weighted LP spaces with weights satisfying the Muckenhoupt Ap condition. The proofs are based on an identity of Balazs and Kilgore [1] for derivatives of trigon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56c07f385f0dab44756b9fceef680521
https://doi.org/10.1007/bf03322182
https://doi.org/10.1007/bf03322182
Autor:
Jürgen Prestin, Theodore Kilgore
Publikováno v:
Constructive Approximation. 12:95-110
We investigate a polynomial wavelet decomposition of theL 2(−1, 1)-space with Chebyshev weight, where the wavelets fulfill certain interpolatory conditions. For this approach we obtain the two-scale relations and decomposition formulas. Dual functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57f69dc34687485f54bbb53b7b40cf41
https://doi.org/10.1007/bf02432856
https://doi.org/10.1007/bf02432856
Autor:
Theodore Kilgore
Publikováno v:
Acta Mathematica Hungarica. 73:41-63
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::abf56a9250347d6b340003cfff62edee
https://doi.org/10.1007/bf00058942
https://doi.org/10.1007/bf00058942
Autor:
Jürgen Prestin, Theodore Kilgore
Publikováno v:
Numerical Functional Analysis and Optimization. 15:859-868
The theorem of Gopengauz guarantees the existence of a polynomial which well approximates a function while at the same time its kth. derivative (k≤ q) well approximates the kth derivative of the function, and moreover the polynomial and its derivat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da0148240b7e7e9051af71fb1cf29be6
https://doi.org/10.1080/01630569408816596
https://doi.org/10.1080/01630569408816596
Autor:
Theodore Kilgore, Katherine Balázs
Publikováno v:
Acta Mathematica Hungarica. 61:63-72
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c489b0e7785dc0aa562190cb5b61c753
https://doi.org/10.1007/bf01872098
https://doi.org/10.1007/bf01872098
Autor:
Theodore Kilgore
Publikováno v:
Proceedings of the American Mathematical Society. 118:529-536
We will give an elementary and direct proof that for f ∈ C q [ − 1 , 1 ] f \in {C^q}[ - 1,1] there exists a sequence of polynomials P n {P_n} of degree at most n ( n > 2 q ) n\;(n > 2q) such that for k = 0 , … , q k = 0, \ldots ,q \[ | f ( k )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf471a7afbed7af57d7fe2d56ff0be9d
https://doi.org/10.1090/s0002-9939-1993-1129881-x
https://doi.org/10.1090/s0002-9939-1993-1129881-x
Publikováno v:
Acta Mathematica Hungarica. 57:285-290
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2cc147d0d7d962786020febc25e225b
https://doi.org/10.1007/bf01903680
https://doi.org/10.1007/bf01903680