Variational Approximation for Modified Meyer-König and Zeller Operators

Emre  Taş; Tuğba  Yurdakadim

doi:10.5644/SJM.15.01.10

Authors

Emre Taş
Tuğba Yurdakadim

DOI:

https://doi.org/10.5644/SJM.15.01.10

Keywords:

Meyer-K¨onig and Zeller operators, convergence in variation, functions of bounded variation

Abstract

In the present paper we introduce modified Meyer-König and Zeller operators which coincide with the classical Meyer-König and Zeller operators if $\omega(x)=x$. We provide sufficient conditions on the boundedness of the total variation of these operators and we also present a result which deals with the variational approximation of the new modified operators.

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References

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