The Markov Moment Problem and Extremal Problems (Translations of Mathematical Monographs, Vol. 50) - Softcover

M.G. Krein; A. A. Nudelman

 
9780821845004: The Markov Moment Problem and Extremal Problems (Translations of Mathematical Monographs, Vol. 50)
Softcover
ISBN 10: 0821845004 ISBN 13: 9780821845004
Publisher: American Mathematical Society, 1977

Synopsis

In this book, an extensive circle of questions originating in the classical work of P. L. Chebyshev and A. A. Markov is considered from the more modern point of view. It is shown how results and methods of the generalized moment problem are interlaced with various questions of the geometry of convex bodies, algebra, and function theory. From this standpoint, the structure of convex and conical hulls of curves is studied in detail and isoperimetric inequalities for convex hulls are established; a theory of orthogonal and quasiorthogonal polynomials is constructed; problems on limiting values of integrals and on least deviating functions (in various metrics) are generalized and solved; problems in approximation theory and interpolation and extrapolation in various function classes (analytic, absolutely monotone, almost periodic, etc.) are solved, as well as certain problems in optimal control of linear objects.

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Language Notes

Text: English, Russian (translation)

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
1977
Language
English
ISBN 10 
0821845004
ISBN 13 
9780821845004
Binding
Paperback
Number of pages
417