Mathematics, 2022 This paper is devoted to studying the statistical approximation properties of a sequence of univariate and bivariate blending-type Bernstein operators that includes shape parameters α and λ and a positive integer.
Qing-Bo Cai +3 more
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Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian [PDF]
, 2012 A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques.
Bardou F. +14 more
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Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]
, 2014 In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the ...
AI Saichev +29 more
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Universal Constraints on the Location of Extrema of Eigenfunctions of Non-Local Schr\"odinger Operators [PDF]
, 2019 We derive a lower bound on the location of global extrema of eigenfunctions for a large class of non-local Schr\"odinger operators in convex domains under Dirichlet exterior conditions, featuring the symbol of the kinetic term, the strength of the ...
Biswas, Anup, Lőrinczi, József
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$D$-modules, Bernstein-Sato polynomials and $F$-invariants of direct summands [PDF]
, 2016 We study the structure of $D$-modules over a ring $R$ which is a direct summand of a polynomial or a power series ring $S$ with coefficients over a field. We relate properties of $D$-modules over $R$ to $D$-modules over $S$. We show that the localization
Huneke, Craig +2 more
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Linear Theory of Electron-Plasma Waves at Arbitrary Collisionality [PDF]
, 2019 The dynamics of electron-plasma waves are described at arbitrary collisionality by considering the full Coulomb collision operator. The description is based on a Hermite-Laguerre decomposition of the velocity dependence of the electron distribution ...
Brunner, S. +7 more
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Journal of Function Spaces, 2020 We define the notions of weighted λ,μ-statistical convergence of order γ1,γ2 and strongly weighted λ,μ-summability of γ1,γ2 for fuzzy double sequences, where ...
Abdullah Alotaibi
doaj +1 more source
Jacobi Polynomials, Bernstein-type Inequalities and Dispersion Estimates for the Discrete Laguerre Operator [PDF]
, 2018 The present paper is about Bernstein-type estimates for Jacobi polynomials and their applications to various branches in mathematics. This is an old topic but we want to add a new wrinkle by establishing some intriguing connections with dispersive ...
Koornwinder, Tom +2 more
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Pointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities
, 2010 We give direct and inverse theorems for the weighted approximation of functions with inner singularities by combinations of Bernstein polynomials.Comment: 13 pages ...
Lu, Wen-Ming, Zhang, Lin
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Spectral analysis of subordinate Brownian motions in half-line
, 2011 We study one-dimensional Levy processes with Levy-Khintchine exponent psi(xi^2), where psi is a complete Bernstein function. These processes are subordinate Brownian motions corresponding to subordinators, whose Levy measure has completely monotone ...
Kwasnicki, Mateusz
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