Publication:
Convergence in hausdorff content of generalized simultaneous padé approximants

Issued Date

2020-01-01

Resource Type

Article

ISSN

16860209

Other identifier(s)

2-s2.0-85084511531

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Thai Journal of Mathematics. Vol.2020, No.Special Issue (2020), 1-23

Suggested Citation

Methawee Wajasat, Nattapong Bosuwan Convergence in hausdorff content of generalized simultaneous padé approximants. Thai Journal of Mathematics. Vol.2020, No.Special Issue (2020), 1-23. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/56225

Research Projects

Organizational Units

Authors

Journal Issue

Thesis

Title

Convergence in hausdorff content of generalized simultaneous padé approximants

Author(s)

Methawee Wajasat
 Nattapong Bosuwan

Other Contributor(s)

South Carolina Commission on Higher Education
 Mahidol University

Abstract

© 2020 by the Mathematical Association of Thailand. Given a vector of the approximated functions analytic on a neighborhood of some compact subset of the complex plane with simply connected complement in the extended complex plane, we prove convergences in Hausdorff content of the corresponding two generalizations of type II Hermite-Pade approximants on some certain sequences. These two generalizations are based on orthogonal and Faber polynomial expansions. As consequences of these convergence results, we give alternate proofs of Montessus de Ballore type theorems for these generalizations.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/56225

Collections

Scopus 2020