The Trigonometric Polynomial Like Bernstein Polynomial

Author

Han, Xuli

Source

The Scientific World Journal

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