The Trigonometric Polynomial Like Bernstein Polynomial
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-26
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A symmetric basis of trigonometric polynomial space is presented.
Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Two kinds of nodes are given to show that the trigonometric polynomial sequence is uniformly convergent.
The convergence of the derivative of the trigonometric polynomials is shown.
Trigonometric quasi-interpolants of reproducing one degree of trigonometric polynomials are constructed.
Some interesting properties of the trigonometric polynomials are given.
American Psychological Association (APA)
Han, Xuli. 2014. The Trigonometric Polynomial Like Bernstein Polynomial. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1048598
Modern Language Association (MLA)
Han, Xuli. The Trigonometric Polynomial Like Bernstein Polynomial. The Scientific World Journal No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1048598
American Medical Association (AMA)
Han, Xuli. The Trigonometric Polynomial Like Bernstein Polynomial. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1048598
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048598