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A new proof of the Benedetti's inequality and some applications to perturbation to real eigenvalues and singular values
(Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas, 2016-07-01)
Using the standard deviation of the real samples μn ≥ … ≥ μ1 and λn ≥ … ≥ λ1, we refine the Chebyshev's inequality (refer to [5]),As a consequence, we obtain a new proof of the Benedetti's inequality (refer to [1], [2] and ...
Fejér kernel: its associated polynomials
(Boletín de Matemáticas, 2008)
We show that the Fejer kernel generates the fth-kind Chebyshev polynomials.
Algebraic construction of lattices via maximal quaternion orders
(2020-05-01)
In this paper we propose a framework to construct algebraic lattices in dimensions 4n via ideals from maximal orders of a quaternion algebra whose center is a totally real number field. For n=1,2,3,4 and 6 it was possible ...
Kubo-Bastin approach for the spin Hall conductivity of decorated graphene
(2016-05-31)
Theoretical predictions and recent experimental results suggest one can engineer spin Hall effect in graphene by enhancing the spin-orbit coupling (SOC) in the vicinity of an impurity. We use a Chebyshev expansion of the ...
Convolutions and zeros of orthogonal polynomials
(Elsevier B.V., 2011-07-01)
In an attempt to answer a long standing open question of Al-Salam we generate various beautiful formulae for convolutions of orthogonal polynomials similar toU(n)(x) = Sigma(n)(k=0) P(k)(x)P(n-k)(x).where U(n)(x) are the ...
Comments on the evaluation of massless scattering
(2016-01-01)
The goal of this work is threefold. First, we give an expression of the most general five point integral on ℳ0,n (Formula Presented.) in terms of Chebyshev polynomials. Second, we choose a special kinematics that transforms ...
Simulación directa de turbulencia en corrientes de gravedad con efecto CoriolisDirect numerical simulations of gravity currents with Coriolis effect
(Elsevier Doyma Sl, 2015-10)
Las corrientes de gravedad son flujos generados por gradientes de presión horizontales resultantes del efecto de la gravedad sobre fluidos de diferente densidad. Cuando ocurren en la naturaleza, estas corrientes tienen un ...
Matrix-valued Orthogonal Polynomials Related to (SU(2) × SU(2), SU(2)), II
(Kyoto Univ, 2013-04)
In a previous paper we have introduced matrixvalued analogues of the Chebyshev polynomials by studying matrix-valued spherical functions on SU(2) × SU(2). In particular the matrix-size of the polynomials is arbitrarily ...
The NSLUC property and Klee envelope
(Springer, 2016)
A notion called norm subdifferential local uniform convexity (NSLUC) is introduced and studied. It is shown that the property holds for all subsets of a Banach space whenever the norm is either locally uniformly convex or ...
Accurate calculation of the solutions to the Thomas-Fermi equations
(Elsevier, 2014-02-24)
We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants ...