On Bernstein type polynomials and their applications

In this study we examine generating functions for the Bernstein type polynomials given in (Simsek in Fixed Point Theory Appl. 2013:80, 2013). We expand these generating functions using the parameters u and v . By applying these generating functions, we obtain some functional equations and partial di...

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Bibliographic Details
Published in:Advances in difference equations 2015-03, Vol.2015 (1), p.1-11, Article 79
Main Authors: Simsek, Yilmaz, Gunay, Melih
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Difference equations
Functional Analysis
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Polynomials
Proceedings of the International Congress in Honour of Professor Ravi P. Agarwal
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Summary:In this study we examine generating functions for the Bernstein type polynomials given in (Simsek in Fixed Point Theory Appl. 2013:80, 2013). We expand these generating functions using the parameters u and v . By applying these generating functions, we obtain some functional equations and partial differential equations. In addition, using these equations, we derive several identities and relations related to these polynomials. Finally, numerical values of these polynomials for selected cases are demonstrated with their plots.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-015-0423-9