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
Hauptverfasser: Didenko, V. D., Korenovskii, A. A., Tuah, N. J.
Format: Artikel
Sprache:eng
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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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-017-1334-6