Results 1 to 10 of about 2,202 (85)
On Landau-Kolmogorov type inequalities for charges and their applications [PDF]
Researches in Mathematics, 2023 In this article we prove sharp Landau-Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in $\mathbb{R}^d$, $d\geqslant 1$, that are absolutely continuous with respect to the Lebesgue measure.
V.F. Babenko +3 more
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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open Mathematics, 2023 Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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Researches in Mathematics, 2019 We solve the Landau-Kolmogorov problem on finding sharp additive inequalities that estimate $\| f' \|_{\infty}$ in terms of $\| f \|_{\infty}$ and $\| f''' \|_1$.
D. Skorokhodov
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Optimal Landau-Kolmogorov inequalities for dissipative operators in Hilbert and Banach spaces
Advances in Mathematics, 1979 Of course this is “merely” a Sobolev inequality, but Kolmogorov discovered a remarkable explicit formula for the best constants C&co). The formula shows, among other things, that [C,&co)ln is a rational number. For example, C,,,(co) = 21j2.
Paul R Chernoff
exaly +2 more sources
An algebraic theory of Landau-Kolmogorov inequalities
Tohoku Mathematical Journal, 1981 Tosio Kato, Ichiro Satake
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Kolmogorov-Landau inequalities for monotone functions
Journal of Mathematical Analysis and Applications, 1982 A. M. Fink
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Local limit theorems via Landau–Kolmogorov inequalities [PDF]
Bernoulli, 2010 In this article, we prove new inequalities between some common probability metrics. Using these inequalities, we obtain novel local limit theorems for the magnetization in the Curie-Weiss model at high temperature, the number of triangles and isolated ...
Adrian Röllin, Nathan Ross
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Nagy type inequalities in metric measure spaces and some applications [PDF]
Carpathian Mathematical Publications, 2023 We obtain a sharp Nagy type inequality in a metric space $(X,\rho)$ with measure $\mu$ that estimates the uniform norm of a function using its $\|\cdot\|_{H^\omega}$-norm determined by a modulus of continuity $\omega$, and a seminorm that is defined on a
V. Babenko +3 more
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