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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Veröffentlicht in:	Advances in difference equations 2015-03, Vol.2015 (1), p.1-11, Article 79
Hauptverfasser:	Simsek, Yilmaz, Gunay, Melih
Format:	Artikel
Sprache:	eng
Schlagworte:	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
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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