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Differences of operators of Baskakov type

100%

Gupta V.

Fasciculi Mathematici

2019

tom nr 62

47--55

In the present article, we study the approximation of difference of operators and find the quantitative estimates for the differences of Baskakov with Baskakov-Szasz and genuine Baskakov-Durrmeyer operators. We also estimate the result for the difference of Baskakov-Szasz and genuine Baskakov-Durrmeyer operators.

About some linear and positive operators defined by infinite sum

72%

Pop O.

Demonstratio Mathematica

2006

tom Vol. 39, nr 2

377-388

In [13], we study a class of linear and positive operators defined by finite sum. In this paper we demonstrate general properties for a class of linear positive operators denned by infinite sum. By particularization, we obtain statements, the convergence and the evaluation for the rate of convergence in therm of the first modulus of smoothness for the Mirakjan-Favard-Szasz operators, Baskakov operators and Mayer-Konig and Zeiler operators. We don't study the convergence of these operators with the well known theorem of Bohman-Korowkin.

Approximation properties of certain summation integral type operators

58%

Patel P. , Mishra V. N.

Demonstratio Mathematica

2015

tom Vol. 48, nr 1

77--90

In the present paper, we study approximation properties of a family of linear positive operators and establish direct results, asymptotic formula, rate of convergence, weighted approximation theorem, inverse theorem and better approximation for this family of linear positive operators.