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arXiv · 1412.0609

On modulus of continuity of differentiation operator on weighted Sobolev classes

Vladyslav Babenko·Oleh Kovalenko
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Abstract

In this paper we investigate the modulus of continuity of differential operator of order $k$, $k\in\mathbb{N}$, on the classes of functions defined on half-line that have positive non-increasing continuous majorants of functions and their higher derivatives.

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Vladyslav Babenko, Oleh Kovalenko. 2014-12-01. On modulus of continuity of differentiation operator on weighted Sobolev classes. https://doi.org/10.1186/s13660-015-0822-1

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