Numerical Interpretation of The Gurov–Reshetnyak Inequality on The Real Axis
We find the “norm” of a power function in the Gurov–Reshetnyak class on the real line. Moreover, as a result of numerical experiments, we establish a lower bound for the norm of the operator of even extension of a function from the Gurov–Reshetnyak class from the semiaxis onto the entire real line....
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Veröffentlicht in: | Ukrainian mathematical journal 2017-05, Vol.68 (12), p.1860-1873 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We find the “norm” of a power function in the Gurov–Reshetnyak class on the real line. Moreover, as a result of numerical experiments, we establish a lower bound for the norm of the operator of even extension of a function from the Gurov–Reshetnyak class from the semiaxis onto the entire real line. |
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ISSN: | 0041-5995 1573-9376 |
DOI: | 10.1007/s11253-017-1334-6 |