Algebraic Approximation: A Guide to Past and Current Solutions

AvJorge Bustamante

Häftad, Engelska, 2011

Del i serien Frontiers in Mathematics

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Beskrivning

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.

Produktinformation

Utgivningsdatum:2011-11-16
Mått:168 x 240 x 12 mm
Vikt:371 g
Format:Häftad
Språk:Engelska
Serie:Frontiers in Mathematics
Antal sidor:205
Upplaga:2012
Förlag:Springer Basel
ISBN:9783034801935

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Recensioner i media

From the reviews: "This book is a survey of several topics in algebraic polynomial approximation on a finite interval, mostly related to the degree of approximation. ... The book can be of great help to researchers, both those taking their first steps in the subject and veteran researchers who need to check references." (D. Leviatan, Mathematical Reviews, September, 2013) "The monograph presents an exposition of results related to direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. ... The main achievement of the book is that it gathers some different known solutions to problems in algebraic approximation that are not collected in other text books. ... this book is a very helpful tool for students and researchers interested in approximation by algebraic polynomials." (Daniel Cardenas-Morales, Zentralblatt MATH, Vol. 1248, 2012)

Innehållsförteckning

Preface.- Some notes on trigonometric approximation.- The end points effect.- Looking for new moduli.- Exact estimates and asymptotic.- Construction of special operators.- Bibliography.