The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development.
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Da: AVON HILL BOOKS, Cambridge, MA, U.S.A.
Hardcover. Condizione: As New. Condizione sovraccoperta: No Dust Jacket. This monograph can be regarded as a result of the activity of many mathematicians of the 20th century in the field of classical Fourier series and the theory of approximation of periodic functions, beginning with H. Lebesgue, D. Jackson, and S. N. Bernstein. The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions, including, as particular cases, the well-known Weyl--Nagy and Sobolev classes as well as classes of functions defined by convolutions with arbitrary summable kernels. The developed methods enable one to solve problems of approximation theory not only in the periodic case but also in the case where objects of approximation are functions locally integrable on the entire axis and functions defined by Cauchy-type integrals in domains of the complex plane bounded by rectifiable Jordan curves. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. Most results of the monograph represent the latest achievements, which have not yet been published in existing monographs. First of all, this refers to problems of regularity and saturation of linear processes of summation and the convergence rate of Fourier series in different metrics, approximation by interpolation polynomials, approximation of locally integrable functions by entire functions of exponential type, and approximation of Cauchy integrals in Jordan domains by Faber polynomials. The monograph also contains entirely new results aimed at the construction of approximation theory in general linear spaces. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development. Due to size, ships within US only. ; tall 8vo 9" - 10" tall; 922 pp. Codice articolo 19090
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Da: Basi6 International, Irving, TX, U.S.A.
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Condizione: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABBB-69702
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Condizione: Like New. Used - Like New. This is a brand new book! Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Codice articolo Z1-C-057-01341
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Condizione: New. Brand New Original US Edition. Customer service! Satisfaction Guaranteed. Codice articolo ASNT3-69702
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Da: Books Puddle, New York, NY, U.S.A.
Condizione: New. pp. xviii + 919. Codice articolo 2648014160
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Da: Majestic Books, Hounslow, Regno Unito
Condizione: New. pp. xviii + 919. Codice articolo 44768399
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Da: Biblios, Frankfurt am main, HESSE, Germania
Condizione: New. pp. xviii + 919. Codice articolo 1848014170
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Da: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
Condizione: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABBB-205096
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