Inequalities for trigonometric polynomials in spaces with integral metric

DOI10.1007/s11253-012-0619-zzbMath1255.42001OpenAlexW2008321545MaRDI QIDQ1760028

S. A. Pichugov

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0619-z

zbMATH Keywords

Bernstein inequality

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items

Inequalities for the fractional derivatives of trigonometric polynomials in spaces with integral metrics ⋮ Smoothness of functions in the metric spaces \(L_\Psi\) ⋮ Nikol'skii-Stechkin-type inequalities for the increments of trigonometric polynomials in metric spaces

Cites Work

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• On the Jackson theorem for periodic functions in metric spaces with integral metric. II
• Inequality of different metrics for trigonometric polynomials
• On the jackson theorem for periodic functions in spaces with integral metric
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES