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ON THE DEGREE OF APPROXIMATION FOR BIVARIATE LUPAS» TYPE OPERATORS
Naokant Deo 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
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.
ON THE DEGREE OF APPROXIMATION FOR BIVARIATE LUPAS TYPE OPERATORS
Deo, Naokant The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
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.
On the Rate of Convergence of Modified Baskakov Type Operators on Functions of Bounded Variation
Deo, Naokant Department of Mathematics 2005 Kyungpook mathematical journal Vol.45 No.4
The aim of this paper is to establish the rate of convergence of Baskakov-Durrmeyer operators for bounded variation function. We have given the better estimate over the results due to Guo ([4]), Anial and Teberska ([1]) and Gupta and Srivastava ([8]).
STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS
Deo, Naokant,Ozarslan, Mehmet Ali,Bhardwaj, Neha The Kangwon-Kyungki Mathematical Society 2014 한국수학논문집 Vol.22 No.4
In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function $x^2$. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.
QUANTITATIVE ESTIMATES FOR GENERALIZED TWO DIMENSIONAL BASKAKOV OPERATORS
Bhardwaj, Neha,Deo, Naokant The Kangwon-Kyungki Mathematical Society 2016 한국수학논문집 Vol.24 No.3
In this paper, we obtain quantitative estimates for generalized double Baskakov operators. We calculate global results for these operators using Lipschitz-type spaces and estimate the error using modulus of continuity.