Change search
Link to record
Permanent link

Direct link
Karlberg, Lennart
Publications (7 of 7) Show all publications
Karlberg, L. & Wallin, H. (1994). Padé type approximants and general quadrature formulas (ed.). Umeå: University of Umeå, Department of Mathematics
Open this publication in new window or tab >>Padé type approximants and general quadrature formulas
1994 (English)Report (Other academic)
Place, publisher, year, edition, pages
Umeå: University of Umeå, Department of Mathematics, 1994. p. 7
Series
Research reports - University of Umeå, Department of Mathematics, ISSN 1103-6540 ; 1994:3
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:ltu:diva-23952 (URN)91184b10-bec7-11dc-b185-000ea68e967b (Local ID)91184b10-bec7-11dc-b185-000ea68e967b (Archive number)91184b10-bec7-11dc-b185-000ea68e967b (OAI)
Note
Godkänd; 1994; 20080109 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved
Karlberg, L. & Wallin, H. (1991). Padé-type approximants for functions of Markov-Stieltjes type (ed.). Rocky Mountain Journal of Mathematics, 21(1), 437-449
Open this publication in new window or tab >>Padé-type approximants for functions of Markov-Stieltjes type
1991 (English)In: Rocky Mountain Journal of Mathematics, ISSN 0035-7596, E-ISSN 1945-3795, Vol. 21, no 1, p. 437-449Article in journal (Refereed) Published
Abstract [en]

The denominator of Padé approximants of functions of Markov-Stieltjes type are closely connected to orthogonal polynomials which leads to control of the location of the poles and to convergence of the approximants. We investigate to which extent the convergence also holds for Padé-type approximants where the location of the poles is changed.

National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:ltu:diva-10907 (URN)10.1216/rmjm/1181073016 (DOI)A1991FW73600025 ()2-s2.0-0040080517 (Scopus ID)9cb759f0-b047-11db-840a-000ea68e967b (Local ID)9cb759f0-b047-11db-840a-000ea68e967b (Archive number)9cb759f0-b047-11db-840a-000ea68e967b (OAI)
Note

Godkänd; 1991; 20070130 (evan)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2022-04-25Bibliographically approved
Karlberg, L. & Wallin, H. (1990). Padé type approximants and orthogonal polynomials for Markov-Stieltjes functions: Extrapolation and rational approximation (Luminy, 1989) (ed.). Journal of Computational and Applied Mathematics, 32(1-2), 153-157
Open this publication in new window or tab >>Padé type approximants and orthogonal polynomials for Markov-Stieltjes functions: Extrapolation and rational approximation (Luminy, 1989)
1990 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 32, no 1-2, p. 153-157Article in journal (Refereed) Published
Abstract [en]

Padé-type approximants are rational functions with some preassigned poles whose power series expansion coincides with that of a given series as far as possible. The main open question for these approximants is the choice of the poles in order to obtain interesting approximation and convergence results. In this paper, the authors study this problem for functions of the Markov-Stieltjes type, when some of the poles are -1 and +1 with arbitrary multiplicities and points in the union of (-∞,-1) and (1,∞) with even multiplicities.

National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:ltu:diva-10059 (URN)10.1016/0377-0427(90)90426-Z (DOI)A1990EL97000017 ()2-s2.0-38249016467 (Scopus ID)8cfeefd0-b058-11db-840a-000ea68e967b (Local ID)8cfeefd0-b058-11db-840a-000ea68e967b (Archive number)8cfeefd0-b058-11db-840a-000ea68e967b (OAI)
Note
Godkänd; 1990; 20070130 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved
Karlberg, L. & Wallin, H. (1989). Padé type approximants and orthogonal polynomials for Markov-Stieltjes functions (ed.). Umeå: University of Umeå, Department of Mathematics
Open this publication in new window or tab >>Padé type approximants and orthogonal polynomials for Markov-Stieltjes functions
1989 (English)Report (Other academic)
Place, publisher, year, edition, pages
Umeå: University of Umeå, Department of Mathematics, 1989. p. 6
Series
Research report, ISSN 0345-3928 ; 1989:7
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:ltu:diva-21824 (URN)05c75b40-bec8-11dc-b185-000ea68e967b (Local ID)05c75b40-bec8-11dc-b185-000ea68e967b (Archive number)05c75b40-bec8-11dc-b185-000ea68e967b (OAI)
Note
Upprättat; 1989; 20080109 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved
Karlberg, L. & Wallin, H. (1988). Pade-type approximants for functions of Markov-Stieltjes type (ed.). Umeå: University of Umeå, Department of Mathematics
Open this publication in new window or tab >>Pade-type approximants for functions of Markov-Stieltjes type
1988 (English)Report (Other academic)
Place, publisher, year, edition, pages
Umeå: University of Umeå, Department of Mathematics, 1988. p. 12
Series
Research report, ISSN 0345-3928 ; 1988:4
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:ltu:diva-23040 (URN)55d7e0a0-bec8-11dc-b185-000ea68e967b (Local ID)55d7e0a0-bec8-11dc-b185-000ea68e967b (Archive number)55d7e0a0-bec8-11dc-b185-000ea68e967b (OAI)
Note
Upprättat; 1988; 20080109 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved
Karlberg, L. (1986). Some convergence results for generalized Padé approximants (ed.). (Doctoral dissertation).
Open this publication in new window or tab >>Some convergence results for generalized Padé approximants
1986 (English)Doctoral thesis, comprehensive summary (Other academic)
Publisher
p. 8
Series
Research reports, ISSN 0345-3928 ; 1986:12
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:ltu:diva-17275 (URN)28701410-bec9-11dc-b185-000ea68e967b (Local ID)28701410-bec9-11dc-b185-000ea68e967b (Archive number)28701410-bec9-11dc-b185-000ea68e967b (OAI)
Note
Upprättat; 1986; 20080109 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved
Karlberg, L. (1986). Some convergence results for generalized Padé approximants (ed.). Umeå: University of Umeå, Department of Mathematics
Open this publication in new window or tab >>Some convergence results for generalized Padé approximants
1986 (English)Report (Other academic)
Place, publisher, year, edition, pages
Umeå: University of Umeå, Department of Mathematics, 1986. p. 12
Series
Research report, ISSN 0345-3928 ; 1986:11
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:ltu:diva-23982 (URN)93138960-bec8-11dc-b185-000ea68e967b (Local ID)93138960-bec8-11dc-b185-000ea68e967b (Archive number)93138960-bec8-11dc-b185-000ea68e967b (OAI)
Note
Upprättat; 1986; 20080109 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved
Organisations

Search in DiVA

Show all publications