Stieltjes theorem

Stieltjes theorem
Математика: теорема Стилтьеса

Универсальный англо-русский словарь. . 2011.

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  • Riemann-Stieltjes integral — In mathematics, the Riemann Stieltjes integral is a generalization of the Riemann integral, named after Bernhard Riemann and Thomas Joannes Stieltjes. DefinitionThe Riemann Stieltjes integral of a real valued function f of a real variable with… …   Wikipedia

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  • Lebesgue-Stieltjes integration — In measure theoretic analysis and related branches of mathematics, Lebesgue Stieltjes integration generalizes Riemann Stieltjes and Lebesgue integration, preserving the many advantages of the latter in a more general measure theoretic framework.… …   Wikipedia

  • Carathéodory's extension theorem — See also Carathéodory s theorem for other meanings. In measure theory, Carathéodory s extension theorem proves that for a given set Ω, you can always extend a sigma; finite measure defined on R to the sigma; algebra generated by R , where R is a… …   Wikipedia

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  • Chebyshev-Markov-Stieltjes inequalities — In mathematics, The Chebyshev ndash;Markov ndash;Stieltjes inequalities are important inequalities related to the problem of moments. They allow to extract some information about the measure from its first moments; namely, they provide sharp… …   Wikipedia

  • Chebyshev–Markov–Stieltjes inequalities — In mathematical analysis, the Chebyshev–Markov–Stieltjes inequalities are inequalities related to the problem of moments that were formulated in the 1880s by Pafnuty Chebyshev and proved independently by Andrey Markov and (somewhat later) by… …   Wikipedia

  • F. and M. Riesz theorem — In mathematics, the F. and M. Riesz theorem is a result of the brothers Frigyes Riesz and Marcel Riesz, on analytic measures. It states that for a measure μ on the circle, any part of μ that is not absolutely continuous with respect to the… …   Wikipedia

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  • Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

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