On a problem of optimal recovery and Kolmogorov type inequalities on an interval
The author uses the solution of certain extremal problems in order to solve an optimal recovery problem for the \(k\)-th derivative of the function on an interval from the information on the function itself, given in the mean square metric. First, he shows an explicit expression for the error of the optimal recovery and for optimal methods in terms of ...
Bagramyan T.E.
core +6 more sources
Disuguaglianze di Harnack alla frontiera per equazioni di Kolmogorov
We describe some recent results on the boundary regularity for hypoelliptic Kolmogorov equations. We prove boundary Harnack inequalities of the positive solutions to Kolmogorov equations vanishing on some relatively open subset of the boundary ...
Sergio Polidoro
doaj +3 more sources
Landau-Kolmogorov type inequalities in several variables for the Jacobi measure
This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal. These orthogonal polynomials in several variables are built by tensor product of the orthogonal polynomials in ...
Draux, André, Abbas, Lamia
openaire +4 more sources
Analysis of Models to Estimate Morbidity Rates of Respiratory Diseases Through Deep Learning [PDF]
ABSTRACT Respiratory diseases remain a challenge in Brazil due to socioeconomic inequalities and environmental risks that intensify population vulnerability. This study compared XGBoost with a deep learning model using stacked Gated Recurrent Units (GRU), trained with morbidity data from respiratory diseases and exogenous variables such as per capita ...
Liliane Moreira Nery +6 more
wiley +2 more sources
The best approximation of closed operators by bounded operators in Hilbert spaces
We solve the problem of the best approximation of closed operators by linear bounded operators in Hilbert spaces under assumption that the operator transforms orthogonal basis in Hilbert space into an orthogonal system.
V.F. Babenko +2 more
doaj +1 more source
Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
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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Equivalence of the Local Markov Inequality and a Kolmogorov Type Inequality in the Complex Plane [PDF]
Let \(m,\kappa\geq 1.\) A compact set \(E\subset\mathbb{C}\) is said to admit the local Markov property \(\mathrm{LMP}(m,\kappa)\) if, for all \( n\in\mathbb{N}\), \(z_0\in E\), \(r\in (0,1]\), the holomorphic polynomials \(P\) of degree at most \(n\) and \(j\in \mathbb{N}\) satisfy \[ |P^{(j)}(z_0)|\leq\left(\frac{c_1n^{\kappa}}{r^m}\right)^j\| P\|_{E\
Białas-Cież, Leokadia +1 more
openaire +3 more sources
Free boundary value problems and hjb equations for the stochastic optimal control of elasto-plastic oscillators [PDF]
We consider the optimal stopping and optimal control problems related to stochastic variational inequalities modeling elasto-plastic oscillators subject to random forcing.
Lauriere M. +4 more
doaj +1 more source
Bell-Boole Inequality: Nonlocality or Probabilistic Incompatibility of Random Variables?
The main aim of this report is to inform the quantum information community about investigations on the problem of probabilistic compatibility of a family of random variables: a possibility to realize such a family on the basis of a single probability ...
Andrei Khrennikov
doaj +1 more source
Evolution equations are derived for the contrasting-structure-type solution of the gen-eralized Kolmogorov–Petrovskii–Piskunov (GKPP) equation with the small parameter with high order derivatives.
A. A. Bykov
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