Home
Deutsch
Advanced Search
Browse by ...
Publication overview
Contact persons
Help
Publ. Version/Full Text
DOI
 |
Open Access Gold |
|
as soon as is submitted to ZB.
Approximation of finite Hilbert and Hadamard transforms by using equally spaced nodes.
Mathematics 8:542 (2020)
In the present paper, we propose a numerical method for the simultaneous approximation of the finite Hilbert and Hadamard transforms of a given function f, supposing to know only the samples of f at equidistant points. As reference interval we consider [-1,1] and as approximation tool we use iterated Boolean sums of Bernstein polynomials, also known as generalized Bernstein polynomials. Pointwise estimates of the errors are proved, and some numerical tests are given to show the performance of the procedures and the theoretical results.
Altmetric
Additional Metrics?
Edit extra informations
Login
Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Hilbert Transform ; Hadamard Transform ; Hypersingular Integral ; Bernstein Polynomials ; Boolean Sum ; Simultaneous Approximation ; Equidistant Nodes; Numerical Evaluation; Integral-equations; Bernstein; Operators
ISSN (print) / ISBN
2227-7390
e-ISSN
2227-7390
Journal
Mathematics
Quellenangaben
Volume: 8,
Issue: 4,
Article Number: 542
Publisher
MDPI
Publishing Place
Basel, Switzerland
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)