Some preservation properties of MKZ-Stancu type operators

The topic of approximation with positive linear operators in contemporary functional analysis and theory of functions has emerged in the last century. One of these operators is Meyer–König and Zeller operators and in this study a generalization of Meyer–König and Zeller type operators based on a function τ by using two sequences of functions will be presented. The most significant point is that the newly introduced operator preserves {1,τ,τ2} instead of classical Korovkin test functions. Then asymptotic type formula, quantitative results, and local approximation properties of the introduced operators are given. Finally a numerical example performed by MATLAB is given to visualize the provided theoretical results.

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“…, where a is a parameter such that a ≥ 0 and p m is given above, the operators (7) turn out to be the operators given in [24], by…”

Section: Construction Of Operatorsmentioning

confidence: 99%

A Note on New Construction of Meyer-König and Zeller Operators and Its Approximation Properties

2021

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“…The same problems for some other type univariate or multivariate linear positive operators were solved by either using an elementary or probabilistic way (see, e.g. [3]- [6], [8], [9], [14], [15], [17], [18], [28]).…”

Section: Introductionmentioning

confidence: 99%

Bivariate Cheney-Sharma operators on simplex

Başcanbaz¹

2017

HJMS

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“…We note that in the literature there are a number of papers containing preservation properties of positive linear operators. Some of them are [2], [4], [8], [10] and [15].…”

Section: Introductionmentioning

confidence: 99%