Browse > Article

ON THE DEGREE OF APPROXIMATION FOR BIVARIATE LUPAS TYPE OPERATORS  

Deo, Naokant (Department of Applied Mathematics, Delhi College of Engineering)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1101-1116 More about this Journal
Abstract
The aim of this paper is to give some simultaneous approximation properties as well as differential properties, Voronovskaya type theorem, several asymptotic formulae for the partial derivative and the degree of approximation for two dimensional Lupas type operators.
Keywords
Lupas operators; Degree of approximation; Voronovskaya type theorem;
Citations & Related Records
연도 인용수 순위
  • Reference
1 L. Rempulska and M. Skorupka, Approximation of differentiable functions of two variables by Baskakov operators, 5-th International Conference APLIMAT, (2006), 315-319.
2 Q. Shen and J. Xu, Simultaneous approximation by multivariate Szaasz-Durrmeyer operator, J. of Hubei Uni. (NSE)(in Chinese), 21(2)(1999), 107-111.
3 M. Gurdek, L. Rempulska and M. Skorupka, The Baskakov operators for functions of two variables, Collect. Math., 50(3) (1999), 289-302.
4 V. Gupta and N. Deo, On the rate of convergence for bivariate Lupas, operators, General Math. 13(3) (2005), 107-114.
5 V. A. Baskakov, An example of a sequence of linear positive operators in the space of continuous functions, DAN, 113(1957), 249-251 (in Russian).
6 G. G. Lorentz, Bernstein Polynomials, University of Toronto Press, Toronto, 1953.
7 L. Rempulska and M. Skorupka, On strong approximation of functions of one and two variables by certain operator, Fasc. Math., 35(2005), 115-133.
8 N. Deo, Direct result on the Durrmeyer variant of Beta operators, Southeast Asian Bull. Math., 32(2008), 283-290.
9 F. Guo, On convergence rate of approximation for two-dimensional Baskakov operators, Anal. Theory Appl. 19 (2003), 273-279.   DOI   ScienceOn
10 V. Gupta and A. Ahmad, Simultaneous approximation by modified Lupas, operators, Instanbul Uni. Fen. Fak. Mat. Der., 54(1995), 11-22.
11 M. Becker, Global approximation theorems for Szaasz-Mirakyan and Baskakov operators in polynomial weight spaces, Indiana Univ. Math. J., 27(1) (1978), 127-142.   DOI
12 F. Cao and C. Ding and Z. Xu, On multivariate Baskakov operators, J. Math. Anal. Appl. 307 (2005), 274-291.   DOI   ScienceOn