Polynomials and polynomial inequalities / Peter Borwein, Tamas ErdelyiType de document : MonographieCollection : Graduate texts in mathematics, 161Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, 1995Description : 1 vol (X-480 p.) ; 25 cmISBN: 0387945091.ISSN: 0072-5285.Bibliographie : Bibliogr. p. -466. Index.Sujet MSC : 26-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
26D05, Real functions - Inequalities in real analysis, Inequalities for trigonometric functions and polynomials
26C05, Real functions - Polynomials, rational functions in real analysis, Real polynomials: analytic properties, etc.
41A17, Approximations and expansions, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities)En-ligne : Springerlink | Zentralblatt | MathSciNet Item type: Monographie
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This attractive book deals with the analytic theory of polynomials and rational functions of one variable. An interesting feature of the book is the presentation of many of the results as series of exercises. This enables the book to cover much more ground than otherwise and enhances its value as a text for an advanced undergraduate or graduate course in approximation theory. The more difficult exerices are provided with liberal hints. Although some of the material in the early chapters would be found in many texts on approximation theory, the later chapters contain many results that have not previously appeared in textbooks. Most of these are results to which the authors have made major contributions. Thus the book would be of interest to professional mathematicians as well as to students. (Zentralblatt)
Bibliogr. p. -466. Index