Inequalities for some iterated linear operators and their applications in approximation theory

Hans-Bernd Knoop; Xinlong Zhou

doi:10.33993/jnaat302-696

Authors

Hans-Bernd Knoop Gerhard-Mercator-University of Duisburg, Germany
Xinlong Zhou Gerhard-Mercator-University of Duisburg, Germany

DOI:

https://doi.org/10.33993/jnaat302-696

Abstract views: 214

Abstract

Some inequalities for the ”derivatives” of iterated linear operators will be presented, which will be applied for the investigation of degrees of approximation. Thus, with the application of the Laplacian we improve some classical results concerning the Jackson type estimate, the inverse theorem as well as the saturation phenomenon

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