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Differences of operators of Baskakov type

Gupta Vijay

Fasciculi Mathematici

2019

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.

Approximation properties of certain summation integral type operators

Patel P., Mishra V. N.

Demonstratio Mathematica

2015

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.

on q-Baskakov type operators

Aral A., Gupta V.

Demonstratio Mathematica

2009

Vol. 42, nr 1

109-122

In the present paper we introduce two q-analogous of the well known Baskakoy operators. For the first operator we obtain convergence property on bounded interval. Then we give the montonity on the sequence of q-Baskakov operators for n when the function f is convex. For second operator, we obtain direct approximation property on unbounded interval and estimate the rate of convergence. One can say that, depending on the selection of q, these operators are more flexible then the classical Baskakov operators while retaining their approximation properties.

About some linear and positive operators defined by infinite sum

Pop O.

Demonstratio Mathematica

2006

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.