Sharp kolmogorov-type inequality

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Sharp Kolmogorov-Type Inequalities for Moduli of Continuity and Best Approximations by Trigonometric Polynomials and Splines

Journal of Mathematical Sciences, 2004
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Vinogradov, O. L., Zhuk, V. V.
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On sharp Kolmogorov-type inequalities taking into account the number of sign changes of derivatives

Ukrainian Mathematical Journal, 2008
Summary: We obtain new sharp Kolmogorov-type inequalities, in particular the following sharp inequality for \(2\pi\)-periodic functions \(x\in L_{\infty}^r(T)\): \[ \| x^{(k)}\| _1\leq\left(\frac{\nu(x')}{2}\right)^{\left(1-\frac{1}{p}\right)\alpha} \frac{\| \varphi_{r-k}\| _1}{\| \varphi_r\| _p^{\alpha}} \| x\| _p^{\alpha}\| x^{(r)}\| _{\infty}^{1 ...
Kofanov, V. A., Miropol'skij, V. E.
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The Kolmogorov Inequality for the Maximum of the Sum of Random Variables and Its Martingale Analogues

Theory of Probability and Its Applications, 2023
A Novikov, A N Shiryaev
exaly

On Kolmogorov’s converse inequality for dependent random variables

Stochastic Analysis and Applications, 2021
Zbigniew S Szewczak
exaly

On sharp Kolmogorov-type inequalities taking into account the number of sign changes of derivatives

Ukrainian Mathematical Journal, 2009
V A Kofanov, Kofanov V A
exaly

On the Kolmogorov Inequality for M Φ -Norm

Applicable Analysis, 2002
Ha Huy Bang
exaly

A Kolmogorov inequality for U-statistics based on Bernoulli kernels

Statistics and Probability Letters, 1994
Tasos C Christofides
exaly

Some Extensions of the Kolmogorov–Stein Inequality

Vietnam Journal of Mathematics, 2014
Ha Huy Bang, Vu Nhat Huy, Huy Vu Nhat
exaly