Abstract:
In the space $L_2$ on the real axis with hyperbolic weight, the sharp Jackson inequality with optimal argument is proved.
Keywords:$L_2$-space, hyperbolic weight, best approximation, modulus of continuity, Jackson's inequality, entire function of exponential type, Gaussian quadrature formula.
This work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00045),
the Ministry of Education and Science of the Russian Federation (state contracts no. 5414GZ and
no. 1.1333.2014K), and Dmitry Zimin’s Foundation “Dynasty''.
Citation:
D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev, “Optimal argument in the sharp Jackson inequality in the space $L_2$ with hyperbolic weight”, Math. Notes, 96:5 (2014), 904–913
\Bibitem{GorIvaVep14}
\by D.~V.~Gorbachev, V.~I.~Ivanov, R.~A.~Veprintsev
\paper Optimal argument in the sharp Jackson inequality in the space $L_2$ with hyperbolic weight
\jour Math. Notes
\yr 2014
\vol 96
\issue 5
\pages 904--913
\mathnet{http://mi.mathnet.ru/mzm12381}
\crossref{https://doi.org/10.1134/S0001434614110273}
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