Approximation properties of a new type Bernstein–Stancu polynomials of one and two variables

A new generalization of Bernstein–Stancu type polynomials for one and two variables are constructed and the theorems on convergence and the degree of convergence are established. In addition some numerical examples, corresponding to obtaining results are given.

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Veröffentlicht in:	Applied mathematics and computation 2010-04, Vol.216 (3), p.890-901
Hauptverfasser:	Gadjiev, A.D., Ghorbanalizadeh, A.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Acceleration of convergence Approximation Bernstein–Stancu type polynomials Computation Construction Convergence Exact sciences and technology Korovkin’s theorem Mathematical analysis Mathematical models Mathematics Modulus of continuity Numerical analysis Numerical analysis. Scientific computation Operator theory Positive linear operators Rate of convergence Sciences and techniques of general use Theorems Uniform approximation
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Beschreibung
Zusammenfassung:	A new generalization of Bernstein–Stancu type polynomials for one and two variables are constructed and the theorems on convergence and the degree of convergence are established. In addition some numerical examples, corresponding to obtaining results are given.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.01.099