Results 1 to 10 of about 106 (83)

The Landau--Kolmogorov inequality revisited [PDF]

Discrete and Continuous Dynamical Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hayashi, Masayuki, Ozawa, Tohru
exaly   +13 more sources

On Landau-Kolmogorov type inequalities for charges and their applications

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, V.V. Babenko, O.V. Kovalenko, N.V. Parfinovych   +3 more
doaj   +3 more sources

A Landau-Kolmogorov Inequality for Lorentz Spaces

Tokyo Journal of Mathematics, 2004
The Landau-Kolmogorov inequality for differentiable functions on the half line asserts that if \(f,f^{(n)}\in L_{\infty}(\mathbb{R}_{+})\) then \(f^{(k)}\in L_{\infty}(\mathbb{R}_{+})\) and \[ \| f^{(k)}\| _{\infty}\leq C_{k,n}^{+}\| f\| _{\infty}^{1-k/n}\| f^{(n)}\| _{\infty}^{k/n} \] for \(k\in\{1,\dots,n-1\}\).
Ha Huy Bang
exaly   +3 more sources

On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f''' \|_1$

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
doaj   +4 more sources

Extension of an Inequality on Three Intervals and Applications to Csiszár ϕ-Divergence and Landau–Kolmogorov Inequality

Axioms
In this paper, we generalize an inequality for a convex function in one dimension R1 on three intervals to a function with nondecreasing increments in k dimensions Rk on (2n+1) intervals.
Ðilda Pečarić, Josip Pečarić, Jinyan Miao   +2 more
doaj   +2 more sources

Local limit theorems via Landau–Kolmogorov inequalities

Bernoulli, 2015
Published at http://dx.doi.org/10.3150/13-BEJ590 in the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
Adrian Rollin, Nathan Ross
exaly   +4 more sources

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
doaj   +1 more source

Landau-Kolmogorov Inequalities for Semigroups and Groups [PDF]

Proceedings of the American Mathematical Society, 1977
An elementary functional analytic argument is given showing how inequalities of the form ‖
Certain, Melinda W., Kurtz, Thomas G.
openaire   +2 more sources

A Landau–Kolmogorov inequality for Orlicz spaces

Journal of Inequalities and Applications, 2002
It is shown that for the half-line \(\mathbb{R}_+\) and any Young function with corresponding Orlicz norm the Landau inequality \[ \|f^{(k)}\|^n\leq K(k, n)\|f\|^{n- k}\|f^{(n)}\|^k,\quad 0< k< n, \] holds with optimal \(K(k,n)=\) the \(K\) for the \(L^\infty\)-norm on \(\mathbb{R}_+\); the same holds for any Luxemburg norm.
Ha Huy Bang, Mai Thi Thu
openaire   +2 more sources

Orlicz-space Hardy and Landau–Kolmogorov inequalities for Gaussian measures

Demonstratio Mathematica, 2012
Abstract We prove Orlicz-space versions of Hardy and Landau–Kolmogorov inequalities for Gaussian measures on ℝ n .
Oleszkiewicz, Krzysztof, Pietruska-Pałuba, Katarzyna   +1 more
openaire   +3 more sources