Finitely Additive Measures and Relaxations of Extremal Problems A.G. Chentsov

ISBN: 9780306110382

Published: September 30th 1996

Hardcover

244 pages


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Finitely Additive Measures and Relaxations of Extremal Problems  by  A.G. Chentsov

Finitely Additive Measures and Relaxations of Extremal Problems by A.G. Chentsov
September 30th 1996 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 244 pages | ISBN: 9780306110382 | 6.77 Mb

This monograph constructs correct extensions of extremal problems, including problems of multicriteria optimization as well as more general cone optimization problems. The author obtains common conditions of stability and asymptotic nonsensitivity ofMoreThis monograph constructs correct extensions of extremal problems, including problems of multicriteria optimization as well as more general cone optimization problems.

The author obtains common conditions of stability and asymptotic nonsensitivity of extremal problems under perturbation of a part of integral restrictions for finite and infinite systems of restrictions. Features include individual chapters on nonstandard approximation of finitely additive measures by indefinite integrals and constructions of attraction sets.

Professor Chentsov illustrates abstract settings by providing examples of problems of impulse control, mathematical programming, and stochastic optimization.



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