Title:
|
Rate of approximation for the Bézier variant of Balazs-Kantorovich operators (English) |
Author:
|
Gupta, Vijay |
Author:
|
Zeng, X. M. |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
57 |
Issue:
|
4 |
Year:
|
2007 |
Pages:
|
[349]-358 |
. |
Category:
|
math |
. |
MSC:
|
41A36 |
idZBL:
|
Zbl 1150.41014 |
idMR:
|
MR2357831 |
. |
Date available:
|
2009-09-25T14:39:26Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136961 |
. |
Reference:
|
[1] AGRATINI O.: An approximation process of Kantorovich type.Math. Notes Miskolac 2 (2001), 3-10. Zbl 0981.41015, MR 1854433 |
Reference:
|
[2] BALAZS K.: Approximation by Bernstein type rational functions.Acta Math. Acad. Sci. Hungar. 26 (1975), 123-134. Zbl 0307.41012, MR 0364958 |
Reference:
|
[3] BALAZS C.-SZABADOS J.: Approximation by Bernstein type rational functions II.Acta Math. Acad. Sci. Hungar. 40 (1982), 331-337. Zbl 0531.41013, MR 0686333 |
Reference:
|
[4] GUPTA V.: Rate of convergence of Durrmeyer type Baskakov-Bezier operators for locally bounded functions.Turkish J. Math. 28 (2004), 271-280. Zbl 1075.41014, MR 2095830 |
Reference:
|
[5] GUPTA V.: Rate of convergence by the Bezier variant of Phillips operators for bounded variation functions.Taiwanese J. Math. 8 (2004), 183-190. MR 2061686 |
Reference:
|
[6] GUPTA V.: The Bezier variant of Kantorovitch operators.Comput. Math. Appl. 47 (2004), 227-232. Zbl 1053.65098, MR 2047938 |
Reference:
|
[7] GUPTA V.: Degree of approximation to function of bounded variation by Bézier variant of MKZ operators.J. Math. Anal. Appl. 289 (2004), 292-300. Zbl 1037.41013, MR 2020544 |
Reference:
|
[8] GUPTA V.-ABEL U.: Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov operators.Int. J. Math. Math. Sci. 2004 (2004), 459-468. Zbl 1123.41013, MR 2048792 |
Reference:
|
[9] GUPTA V.-MAHESHWARI, R: Bezier variant of a new Durrmeyer type operators.Riv. Mat. Univ. Parma 7 (2003), 9-21. Zbl 1050.41015, MR 2031837 |
Reference:
|
[10] GUPTA V.-VASISHTHA V.-GUPTA M. K.: An estimate on the rate of convergence of Bezier type summation-integral operators.Kуungpook Math. J. 43 (2003), 345-354. Zbl 1050.41017, MR 2003479 |
Reference:
|
[11] ZENG X. M.: Bounds for Bernstein basis functions and Meyer-Konig and Zeller basis functions.J. Math. Anal. Appl. 219 (1998), 364-376. MR 1606338 |
Reference:
|
[12] ZENG X. M.-PIRIOU A.: On the rate of convergence of two Bernstein-Bezier type operators for functions of bounded variation.J. Approx. Theory 95 (1998), 369-387. MR 1657687 |
. |