A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function
Joint Authors
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials.
We establish elementary properties of this function.
By using this generating function, we derive recurrence relation and derivative of the (q-) Bernstein-type polynomials.
We also give relations between the (q-) Bernstein-type polynomials, Hermite polynomials, Bernoulli polynomials of higher order, and the second-kind Stirling numbers.
By applying Mellin transformation to this generating function, we define interpolation of the (q-) Bernstein-type polynomials.
Moreover, we give some applications and questions on approximations of (q-) Bernstein-type polynomials, moments of some distributions in Statistics.
American Psychological Association (APA)
Simsek, Yilmaz& Acikgoz, Mehmet. 2010. A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-497302
Modern Language Association (MLA)
Simsek, Yilmaz& Acikgoz, Mehmet. A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function. Abstract and Applied Analysis No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-497302
American Medical Association (AMA)
Simsek, Yilmaz& Acikgoz, Mehmet. A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-497302
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497302
