- Stieltjes measure
- Математика: мера Стилтьеса
Универсальный англо-русский словарь. Академик.ру. 2011.
Stieltjes measure
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Stieltjes transformation — In mathematics, the Stieltjes transformation S rho;( z ) of a measure of density rho; on a real interval I is the function of the complex variable z defined outside I by the formula:S { ho}(z)=int Ifrac{ ho(t),dt}{z t}.Under certain conditions we … Wikipedia
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
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
Secondary measure — In mathematics, the secondary measure associated with a measure of positive density ho when there is one, is a measure of positive density mu, turning the secondary polynomials associated with the orthogonal polynomials for ho into an orthogonal… … Wikipedia
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
List of integration and measure theory topics — This is a list of integration and measure theory topics, by Wikipedia page.Intuitive foundations*Length *Area *Volume *Probability *Moving averageRiemann integral*Riemann sum *Riemann Stieltjes integral *Bounded variation *Jordan contentImproper… … 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
Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Absolute continuity — In mathematics, the relationship between the two central operations of calculus, differentiation and integration, stated by fundamental theorem of calculus in the framework of Riemann integration, is generalized in several directions, using… … Wikipedia
Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… … Wikipedia
