Results 1 to 10 of about 1,751 (140)
Equivalence of the Local Markov Inequality and a Kolmogorov Type Inequality in the Complex Plane [PDF]
Potential Analysis, 2012 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
exaly +4 more sources
Bi-Kolmogorov type operators and weighted Rellich’s inequalities [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2022 AbstractIn this paper we consider the symmetric Kolmogorov operator $$L=\Delta +\frac{\nabla \mu }{\mu }\cdot \nabla $$ L = Δ + ∇ μ
Davide Addona +3 more
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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. In addition we solve the Stechkin problem of approximation of the Radon-Nikodym derivative of such charges by ...
V.F. Babenko +3 more
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Weighted Hardy’s inequalities and Kolmogorov-type operators [PDF]
Applicable Analysis, 2017 We give general conditions to state the weighted Hardy inequality \[ c\int_{\mathbb{R}^N}\frac{φ^2} {|x|^2}dμ\leq\int_{\mathbb{R}^N}|\nabla φ|^2 dμ+C\int_{\mathbb{R}^N} φ^2dμ,\quad φ\in C_c^{\infty}(\mathbb{R}^N),\,c\leq c_{0,μ}, \] with respect to a probability measure $dμ$. Moreover, the optimality of the constant $c_{0,μ}$ is given.
CANALE, Anna +3 more
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Inequalities of Kolmogorov type for fractional derivatives of multivariable functions
Researches in Mathematics, 2021 We prove new sharp inequality of Kolmogorov type that estimates the norm of mixed fractional Marchaud derivative of n-variable function by C-norm of this function and its norms in Lipschitz spaces.
V.F. Babenko, T.V. Matveeva
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A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
wiley +1 more source
Ecography, EarlyView.Occurrence records are fundamental for ecological and evolutionary research, providing key information on species' geographic ranges. However, these records are often taxonomically, spatially, and temporally biased, requiring caution in their use. Here, we analysed the spatial coverage of occurrence records for over 3500 snake species worldwide to ...
Lívia Frateles +5 more
wiley +1 more source
Equivalence theorem for additive inequalities of Kolmogorov type
Researches in Mathematics, 2016 We prove the equivalence theorem for additive inequalities on a finite interval. Besides, we describe a pair of constants so that the additive inequalities with that constants are valid on the whole class of functions $L_s$.
A.Ye. Haidabura, V.A. Kofanov
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Kolmogorov type inequalities for hypersingular integrals with sign-alternating characteristic
Researches in Mathematics, 2021 New sharp Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic of the form $\Omega(t) = \mathrm{sgn} \prod\limits_{k=1}^m t_k$ for multivariate functions from Hölder spaces are obtained.
V.F. Babenko, D.A. Levchenko
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Journal of Adolescence, EarlyView.ABSTRACT Introduction Socioeconomic status (SES) is a well‐established factor influencing adolescents’ mental health, as young people from disadvantaged backgrounds are more likely to experience stress, anxiety, and poorer overall wellbeing. One factor that may help protect students from these negative outcomes is school connectedness which is the ...
Esther Ariyo +2 more
wiley +1 more source