Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications

Laura Beutel; Heiner Gonska

doi:10.33993/jnaat502-1246

Authors

Laura Beutel University of Duisburg-Essen, Germany
Heiner Gonska University of Duisburg-Essen, Germany

DOI:

https://doi.org/10.33993/jnaat502-1246

Keywords:

Approximation Theory, Tensor products, inheritance properties, parametric extensions, discretely defined operators, simultaneous approximation, moduli of smoothness, Brudnyi-Gopengauz operators, cubic interpolatory splines, positive linear operators, binomial type operators, Bernstein operators, variation-diminishing Schoenberg splines, Bernstein-Durrmeyer operators, pointwise interpolatory inequalities

Abstract views: 252

Abstract

We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations.

All inequalities are given in terms of moduli of continuity of higher order.

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References

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