منابع مشابه
Normal indices in Nikishin systems
We improve the class of indices for which normality takes place in a Nikishin system and apply this in Hermite-Padé approximation of such systems of functions.
متن کاملMixed Type Multiple Orthogonal Polynomials for Two Nikishin Systems
We study the logarithmic and ratio asymptotic of linear forms constructed from a Nikishin system which satisfy orthogonality conditions with respect to a system of measures generated from another Nikishin system. This construction combines type I and type II multiple orthogonal polynomials. The logarithmic asymptotic of the linear forms is expressed in terms of the extremal solution of an assoc...
متن کاملRelative asymptotic of multiple orthogonal polynomials for Nikishin systems
We prove relative asymptotic for the ratio of two sequences of multiple orthogonal polynomials with respect to Nikishin system of measures. The first Nikishin system N (σ1, . . . , σm) is such that for each k, σk has constant sign on its compact support supp(σk) ⊂ R consisting of an interval e ∆k, on which |σ ′ k| > 0 almost everywhere, and a discrete set without accumulation points in R \ e ∆k...
متن کاملGeneralized Hermite-Padé approximation for Nikishin systems of three functions
Nikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution is described in terms of the solution of a vector equilibrium problem in the presence of a vector external field.
متن کاملImaging brain systems in normality and psychopathology.
Neurobiological development is a complex process that originates at conception and extends throughout the life span (Casey, Tottenham, Liston, & Durston, 2005; Cicchetti & Cannon, 1999; Nowakowski, 1987; Rakic, 1996; Thompson & Nelson, 2001). The course of brain development can be altered by a host of factors, ranging from genetic liabilities to psychosocial stressors, and mental disorders are ...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1994
ISSN: 0019-3577
DOI: 10.1016/0019-3577(94)90023-x