**Translations of Mathematical Monographs**

1977;
417 pp;
Softcover

MSC: Primary 44;
Secondary 42; 52

**Print ISBN: 978-0-8218-4500-4
Product Code: MMONO/50**

List Price: $129.00

Individual Member Price: $103.20

# The Markov Moment Problem and Extremal Problems

Share this page
*M. G. Kreĭn; A. A. Nudel′man*

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.

#### Readership

Graduate students and research mathematicians interested in analysis.