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Processing of Digital Information on the Basis of Orthogonal and Biorthogonal Polynomials

In the work on the basis of classical orthogonal polynomials orthogonal systems of functions are constructed, their properties are investigated and the computational experiment on model problems is carried out, the influence of various errors on approximation is investigated. The method of application of the theory of spectral schedules, the theory of moments and statistical-probabilistic methods of processing of the digital information received at preparation of sportsmen for competitive activity, in particular at data processing of heart rate (HR) is offered. The paper shows the relationship of the moments of the distribution function with the generalized spectra of orthogonal decompositions, the question of determining the sample size to obtain research results.