Zobrazeno 1 - 10
of 1 435
pro vyhledávání: '"HS Jung"'
Publikováno v:
Dental, Oral and Craniofacial Research. 4
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc4a428915ee93d7186c304058a6916d
https://doi.org/10.15761/docr.1000257
https://doi.org/10.15761/docr.1000257
Autor:
Steven B. Damelin, HS Jung
Publikováno v:
Journal of Computational and Applied Mathematics. 173:303-319
For a general class of exponential weights on the line and on (−1,1), we study pointwise convergence of the derivatives of Lagrange interpolation. Our weights include even weights of smooth polynomial decay near ±∞ (Freud weights), even weights
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22d4f5c89315bcf6210d54eaaf3733a7
https://doi.org/10.1016/j.cam.2004.03.013
https://doi.org/10.1016/j.cam.2004.03.013
Publikováno v:
Acta Applicandae Mathematicae. 76:17-36
In this paper, we complete our investigations of mean convergence of Lagrange interpolation for fast decaying even and smooth exponential weights on the line. In doing so, we also present a summary of recent related work on the line and [−1,1] by t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a680d1071c98a7d8adffd433b8b1017c
https://doi.org/10.1023/a:1022867602610
https://doi.org/10.1023/a:1022867602610
Publikováno v:
Journal of Computational and Applied Mathematics. 137:71-76
We investigate convergence of Hermite–Fejer and Hermite interpolation polynomials in L p (0 for Erdos weights.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a8ad4599cc39fe4cb882c39feaf2153
https://doi.org/10.1016/s0377-0427(00)00698-1
https://doi.org/10.1016/s0377-0427(00)00698-1
Publikováno v:
Journal of Computational and Applied Mathematics. 133(1-2):277-282
Let w ≔exp(− Q ), where Q is of faster than smooth polynomial growth at ∞, for example, w k,α (x)≔ exp (− exp k (|x| α )), α>1 . We obtain a necessary and sufficient condition for mean convergence of Lagrange interpolation for such weigh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35c770334115ae9918f8613658398155
Necessary conditions for weighted mean convergence of Lagrange interpolation for exponential weights
Publikováno v:
Journal of Computational and Applied Mathematics. 132:357-369
Given a continuous real-valued function f which vanishes outside a fixed finite interval, we establish necessary conditions for weighted mean convergence of Lagrange interpolation for a general class of even weights w which are of exponential decay o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::350cc5f89d42095887ea0ba05ce2e254
https://doi.org/10.1016/s0377-0427(00)00439-8
https://doi.org/10.1016/s0377-0427(00)00439-8
Autor:
HS Jung, Kil Hyun Kwon
Publikováno v:
Bulletin of the Australian Mathematical Society. 57:275-288
A quadrature formula for a variable-signed weight function w(x) is constructed using Hermite interpolating polynomials. We show its mean and quadratic mean convergence. We also discuss the rate of convergence in terms of the modulus of continuity for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1888221f4ae0e6fbdc8280ccefcec50
https://doi.org/10.1017/s0004972700031658
https://doi.org/10.1017/s0004972700031658
Publikováno v:
Journal of Inequalities and Applications. 1997:582621
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::552ac182dc601337cdb5b6ea585a8903
https://doi.org/10.1155/s102558349700012x
https://doi.org/10.1155/s102558349700012x