INTEGRALE DE RIEMANN STIELTJES PDF

Naralenkov More by K. Naralenkov Search this author in:. In this paper we discuss integration by parts for several generalizations of the Riemann-Stieltjes integral. In addition, we obtain new results on integration by parts for the Henstock-Stieltjes integral and its interior modification for Banach space-valued functions. Source Real Anal.

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Naralenkov More by K. Naralenkov Search this author in:. In this paper we discuss integration by parts for several generalizations of the Riemann-Stieltjes integral. In addition, we obtain new results on integration by parts for the Henstock-Stieltjes integral and its interior modification for Banach space-valued functions. Source Real Anal. Exchange , Volume 30, Number 1 , Zentralblatt MATH identifier Subjects Primary: 26A Denjoy and Perron integrals, other special integrals 28B Vector-valued set functions, measures and integrals [See also 46G10] Secondary: 26A Integrals of Riemann, Stieltjes and Lebesgue type [See also XX] 26A Functions of bounded variation, generalizations 28C Set functions and measures and integrals in infinite-dimensional spaces Wiener measure, Gaussian measure, etc.

Naralenkov, K. On integration by parts for Stieltjes-type integrals of Banach space valued functions. Real Anal. Exchange 30 , no. More by K. Abstract Article info and citation First page Abstract In this paper we discuss integration by parts for several generalizations of the Riemann-Stieltjes integral. Article information Source Real Anal. Export citation. Export Cancel. You have access to this content.

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Representation of the Stieltjes Integral in Terms of the Riemann Integral Depending on a Parameter

In mathematics , the Riemann-Stieltjes integral is a generalization of the Riemann integral , named after Bernhard Riemann and Thomas Joannes Stieltjes. The Riemann-Stieltjes integral of a real -valued function f of a real variable with respect to a real function g is denoted by. The two functions f and g are respectively called the integrand and the integrator. Most commonly, g will be nondecreasing, but this is not required. In order that this Riemann-Stieltjes integral exist it is necessary that f and g do not share any points of discontinuity.

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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. The definition of this integral was first published in by Stieltjes. The Riemann—Stieltjes integral admits integration by parts in the form. But this formula does not work if X does not have a probability density function with respect to Lebesgue measure. In particular, it does not work if the distribution of X is discrete i.

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