Bojanov-Naidenov problem for differentiable functions and the Erdős problem for polynomials and splines

DOI10.1007/s11253-023-02194-7zbMath1528.41028OpenAlexW4385782312MaRDI QIDQ6056833

Volodymyr Kofanov

Publication date: 4 October 2023

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

Full work available at URL: https://doi.org/10.1007/s11253-023-02194-7

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

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• Inequalities of different metrics for differentiable periodic functions
• Sharp upper bounds of norms of functions and their derivatives on classes of functions with given comparison function
• Variations on the Chebyshev and \(L^ q\) theories of best approximation
• Norm inequalities for derivatives and differences
• An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős
• Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives
• Inequalities for nonperiodic splines on the real axis and their derivatives
• The Bojanov-Naidenov problem for functions with asymmetric restrictions for the higher derivative
• Bojanov-Naidenov problem for differentiable functions on the real line and the inequalities of various metrics
• Investigations of dnepropetrovsk mathematicians related to inequalities for derivatives of periodic functions and their applications
• On some extremal problems of different metrics for differentiable functions on the axis
• Comparison of Exact Constants in Inequalities for Derivatives of Functions Defined on the Real Axis and a Circle

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