Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals
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Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals by E. J. McShane

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Published by American Mathematical Society in Providence .
Written in English

Subjects:

  • Integrals.

Book details:

Edition Notes

Statementby E. J. McShane.
SeriesMemoirs of the American Mathematical Society, no. 88, Memoirs of the American Mathematical Society -- no. 88.
The Physical Object
Pagination54 p.
Number of Pages54
ID Numbers
Open LibraryOL14119418M

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A generalized integral of Riemann type in the line of Kurzweil and Henstock is introduced and used to prove a divergence theorem for vector fields in R″ under the mere assumption of differentiability. A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals Mawhin J. () Generalized Riemann Cited by: In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an was presented to the faculty at the University of Göttingen in , but not published in a journal until For many functions and practical applications, the Riemann integral can be evaluated by the. This chapter discusses Daniell and Daniell–Bochner type integrals. If X is any abstract space and R is the space of reals without infinities, then the product space R X of all functions from X into R forms a linear lattice with ordinary operations of scalar multiplication, addition, and supremum and infimum of two functions. The chapter presents a few examples of Daniell integrals that are Cited by: 1. A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals - E. J. McShane: MEMO/ Studies in abstract families of languages - Seymour Ginsburg, Sheila Greibach and John Hopcroft: MEMO/ Souslinoid and analytic sets in a general setting - Arthur H. Kruse: MEMO/ Denjoy integration in abstract spaces.

yields an integral that is equivalent to the Lebesgue integral. A development of the Lebesgue integral by this approach has been completed by E. J. McShane and a book accessible to undergraduates should appear soon. For stochastic integration, it is appropriate to require that x¡. A Riemann-Type Integral That Includes Lebesgue-Stieltjes, Bochner and Stochastic Integrals (Memoirs of the American Mathematical Society) by Edward James Mcshane Paperback, 54 Pages, Published ISBN / ISBN / Need it Fast? 2 day shipping options McShane, E. J., Proceedings of a U.S.-Japan Seminar on Differential . Author of A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals, Integration, Real analysis, A Riemann-Type Integral That Includes Lebesgue-Stieltjes, Bochner and Stochastic Integrals (Memoirs of the American Mathematical Society), Order-preserving maps and integration processes, Stochastic calculus and stochastic models, Semi-continuity in the calculus of. Using two types of Bochner-Stieltjes integral, it is ob- tained a trapezoidal inequality for the Bochner integral of Lipschitzian functions with values in Banach spaces.