Landau--Kolmogorov inequality revisited
, 2012 The Landau-Kolmogorov problem consists of finding the upper bound $M_k$ for the norm of intermediate derivative $|f^{(k)}|$, when the bounds $|f| \le M_0$ and $|f^{(n)}| \le M_n$, for the norms of the function and of its higher derivative, are given. Here, we consider the case of a finite interval, and when all the norms are the max-norms. Our interest
openaire +2 more sources
Some Sharp Landau–Kolmogorov–Nagy-Type Inequalities in Sobolev Spaces of Multivariate Functions
Ukrainian Mathematical JournalFor a function $f$ from the Sobolev space $W^{1,p}(C)$ ($C\subset\mathbb{R}^d$ is an open convex cone), a sharp inequality that estimates $\| f\|_{L_{\infty}}$ via the $L_{p}$-norm of its gradient and a seminorm of the function is obtained. With the help of this inequality, a sharp inequality is proved, which estimates the ${L_{\infty}}$-norm of the ...
Babenko, Vladyslav +3 more
openaire +3 more sources
Contextuality, Complementarity, Signaling, and Bell Tests. [PDF]
Entropy (Basel), 2022 Khrennikov A.
europepmc +1 more source
Knowledge-driven learning, optimization, and experimental design under uncertainty for materials discovery. [PDF]
Patterns (N Y), 2023 Qian X +4 more
europepmc +1 more source
Bild Conception of Scientific Theory Structuring in Classical and Quantum Physics: From Hertz and Boltzmann to Schrödinger and De Broglie. [PDF]
Entropy (Basel), 2023 Khrennikov A.
europepmc +1 more source
Heterogeneous Diffusion and Nonlinear Advection in a One-Dimensional Fisher-KPP Problem. [PDF]
Entropy (Basel), 2022 Palencia JLD, Rahman SU, Redondo AN.
europepmc +1 more source
Quantum Information in Relativity: The Challenge of QFT Measurements. [PDF]
Entropy (Basel), 2021 Anastopoulos C, Savvidou N.
europepmc +1 more source
The TeV Cosmic-Ray Bump: A Message from the Epsilon Indi or Epsilon Eridani Star? [PDF]
Astrophys J, 2021 Malkov MA, Moskalenko IV.
europepmc +1 more source
Self-Organisation of Prediction Models. [PDF]
Entropy (Basel), 2023 Feistel R.
europepmc +1 more source
Landau-Kolmogorov inequalities in Sobolev spaces
, 2012 Ce travail est dédié à l’étude des inégalités de type Landau-Kolmogorov en normes L2. Les mesures utilisées sont celles d’Hermite, de Laguerre-Sonin et de Jacobi. Ces inégalités sont obtenues en utilisant une méthode variationnelle. Elles font intervenir la norme d’un polynômes p et celles de ces dérivées.
openaire +1 more source