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On a moment problem associated with Chebyshev polynomials
(Elsevier B.V., 2012-05-15)
Given a sequence {mu(n)}(n-0)(infinity) of real numbers, we find necessary and sufficient conditions for the existence and uniqueness of a distribution function phi on (1, infinity), such thatmu(n) = integral(infinity)(1) ...
Power expansions in terms of shifted Chebyshev-Lanczos polynomials
(Venezuela, 2010)
Solutions For The Klein-gordon And Dirac Equations On The Lattice Based On Chebyshev Polynomials
(Springer Basel AGBasel, 2016)
Limit cycles for some families of smooth and non-smooth planar systems
(Elsevier B.V., 2021-06-01)
We apply the averaging method in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to study lower bounds for their number of limit cycles. Our results can be ...
Uncoupling laminar conjugate heat transfer through chebyshev polynomial
(Universidad Nacional de Colombia Sede Medellín, 2010)
The conjugate heat transfer process of cooling a horizontal plate at the leading edge, in steady state condition, was solved considering the fluid flowing in laminar condition and hydro dynamically developed before interacting ...
Experimental determination of stiffness and damping in rotating systems using metaheuristic hybrid optimization and state observers
(2016-01-01)
Recently, more research have been conducted on the analysis of the vibration response of rotors, so that new techniques, which are used to characterize the dynamic response of rotating machines, have been developed to aid ...
The local period function for Hamiltonian systems with applications
(Elsevier B.V., 2021-04-15)
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, in terms of the energy, of the period function for a non-degenerated center of any planar analytic Hamiltonian system. We ...
Modified Chebyshev algorithm: some applications
(Springer, 2006-01-01)
Two applications of the modified Chebyshev algorithm are considered. The first application deals with the generation of orthogonal polynomials associated with a weight function having singularities on or near the end points ...
Chebyshev Centers In Spaces Of Continuous Functions
(Birkhäuser-Verlag, 1988)
Numerical Analysis of the Chebyshev Collocation Method for Functional Volterra Integral Equations
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2020-11-30)
The collocation method based on Chebyshev basis functions, coupled Picard iterative process, is proposed to solve a functional Volterra integral equation of the second kind. Using the Banach Fixed Point Theorem, we prove ...