Results 141 to 150 of about 1,549 (180)

On Kolmogorov-Type Inequalities with Integrable Highest Derivative

Ukrainian Mathematical Journal, 2002
Summary: We obtain a new exact Kolmogorov-type inequality for \(2\pi\)-periodic functions \(f\in L_1^r\) and any \(k,r\in\mathbb N ...
Babenko, V. F., Kofanov, V. A., Pichugov, S. A.   +2 more
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Kolmogorov and Markov Type Inequalities on Certain Algebraic Varieties

Analysis Mathematica, 2023
Let \(\mathcal{P}(\mathbb{R}^N)\) be the space of all polynomials of \(N\) real variables with real coefficients of degree at most \(n\). For a function \(f\), defined on a compact set \(K\in \mathbb{R}^N\), let us consider the norm \(\Vert f\Vert_K=\sup_{x\in K}\vert f(x)\vert \). The classical Markov inequality for derivatives \(D^\alpha P\), \(P\in \
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A Kolmogorov-type inequality

Mathematical Proceedings of the Cambridge Philosophical Society, 2004
A Kolmogorov-type inequality \[ \| Pf\| _ B\leq c\| Qf\| _ B^{m/r}\| f\| _ B^{1-m/r} \] (where ...
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Inequalities of the Hadamard-Kolmogorov type in the presence of constraints

Mathematical Notes of the Academy of Sciences of the USSR, 1969
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Dubovik, V. A., Korenblyum, B. I.
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Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences

Journal of Mathematical Sciences, 2019
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Multivariate Inequalities of Kolmogorov Type and Their Applications

1997
Connections of inequalities of Kolmogorov type given in the form of inequalities for support functions of convex sets with some problems of analysis will be investigated. Our results will be oriented to applications in multivariate approximation. Exact inequalities which estimate L2-norms of derivatives of a multivariate periodic function with the help
V. F. Babenko, V. A. Kofanov, S. A. Pichugov   +2 more
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On Kolmogorov-type inequalities for functions defined on a semiaxis

Ukrainian Mathematical Journal, 2007
Summary: We established necessary and sufficient conditions for the existence of a function from the class \(S^-\) with given integral norms of three successive derivatives (generally speaking, of fractional order).
Babenko, V. F., Skorokhodov, D. S.
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Multivariate Landau–Kolmogorov-type inequality

Mathematical Proceedings of the Cambridge Philosophical Society, 1989
AbstractAssuming that the nth iterate of the Laplacian Δnf belongs to L∞(ℝ), we show for 0 < k < 2n thatwhere ∂/∂ξi is the derivative in the ei direction. The result is also extended to other Banach spaces of functions on ℝd.
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Kolmogorov-type inequalities and the best formulas for numerical differentiation

Mathematical Notes of the Academy of Sciences of the USSR, 1968
For a certain class of complex-valued functionsf(x), −∞
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Bessel type Kolmogorov inequalities on weighted Lebesgue spaces

Applicable Analysis, 2019
In this paper, we obtained Bessel type Kolmogorov inequalities for Riesz–Bessel transforms related to generalized shift operator in weighted Lebesgue spaces.
Ismail Ekincioglu, Esra Kaya
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