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Inequalities for the fractional derivatives of trigonometric polynomials in spaces with integral metrics

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Publication:318115
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DOI10.1007/s11253-015-1064-6zbMath1347.42002OpenAlexW2236663403MaRDI QIDQ318115

Yurii S. Kolomoitsev

Publication date: 4 October 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1064-6


zbMATH Keywords

fractional derivativestrigonometric polynomialsBernstein-type inequalities


Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Trigonometric polynomials, inequalities, extremal problems (42A05)




Cites Work

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  • Approximation in the Frechet spaces \(L^p\;(0<p<1)\)
  • Bernstein's inequality in \(L^p\) for \(0<p<1\) and \((C, 1)\) bounds for orthogonal polynomials
  • Approximation properties in \(L_ p\), \(0<p<1\)
  • Inequalities for trigonometric polynomials in spaces with integral metric
  • ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES




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