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Polynomials and Polynomial Inequalities

by Peter Borwein
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Genre: Mathematics
Pages: 176 pages
ISBN 13: 0877882487
ISBN 10: 9780877882480
Format: PDF, ePUB, MOBI, Audiobooks, Kindle

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Synopsis : Polynomials and Polynomial Inequalities written by Peter Borwein, published by Springer Science & Business Media which was released on 2012-12-06. Download Polynomials and Polynomial Inequalities Books now! Available in PDF, EPUB, Mobi Format. Duffin, R.J., & A.C. Scheaffer, A refinement of an inequality of the brothers Markoff, Trans. Amer. Math. Soc. 50 (1941), 517–528. ... Erdélyi, T., The Remez inequality on the size of polynomials, in: Approximation Theory VI, Vol. -- After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

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