The moments for q-Bernstein operators in the case 0 < q < 1

被引：32

作者：

Mahmudov, Nazim ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, TRNC, TR-10 Mersin, Turkey

来源：

NUMERICAL ALGORITHMS | 2010年 / 53卷 / 04期

关键词：

q-Bernstein polynomials; q-Bernstein operator; Positive linear operator; Central moment; q-derivative; POLYNOMIALS; CONVERGENCE; OMEGA;

D O I：

10.1007/s11075-009-9312-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we give the estimates of the central moments for q-Bernstein operators (0 < q < 1) which can be used for studying the approximation properties of the operators.

引用

页码：439 / 450

页数：12

共 14 条

[1] Derriennic MM, 2005, Rend Circ Mat Palermo Ser, V76, P269
[2] Ditzian Z., 1987, Springer Series in Computational Mathematics
[3] Convergence of generalized Bernstein polynomials
Il'inskii, A
Ostrovska, S
[J]. JOURNAL OF APPROXIMATION THEORY, 2002, 116 (01) : 100 - 112
[4] Generalized Bernstein polynomials
Lewanowicz, S
Wozny, P
[J]. BIT NUMERICAL MATHEMATICS, 2004, 44 (01) : 63 - 78
[5] LUPAS A, 1987, SEM NUM STAT CALC U, V9
[6] Korovkin-type theorems and applications
Mahmudov, Nazim I.
[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2009, 7 (02): : 348 - 356
[7] Ostrovska S, 2007, J Math Anal Approx Theory, V2, P35
[8] On the lupas q-analogue of the Bernstein operator
Ostrovska, Sofiya
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (05) : 1615 - 1629
[9] The convergence of q-Bernstein polynomials (0 < q < 1) in the complex plane
Ostrovska, Sofiya
[J]. MATHEMATISCHE NACHRICHTEN, 2009, 282 (02) : 243 - 252
[10] Phillips G.M., 2003, Interpolation and approximation by polynomials

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The moments for q-Bernstein operators in the case 0 &lt; q &lt; 1

The moments for q-Bernstein operators in the case 0 < q < 1