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Topics in Polynomials: Extremal...

by Milovanovic G V

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Polynomial analysis, inequalities, and applications

$244.40 USD
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Hardcover New English

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AlbakiReads Editorial

Polynomial analysis, inequalities, and applications

This 821-page mathematics volume brings together results on polynomials and their derivatives, including foundational material with proofs and discussion of extremal properties across different metrics. Its coverage extends to inequalities involving trigonometric sums and algebraic polynomials, with attention to their zeros. A final chapter turns to applications in approximation theory and computer-aided geometric design. The book also includes research problems and conjectures, alongside information on progress made toward their resolution, linking established results with open questions in the field.

Good fit for readers who enjoy

  • Readers seeking an extensive reference on polynomial analysis and derivatives.
  • Researchers or advanced students interested in extremal properties, inequalities, and polynomial zeros.
  • Those studying approximation theory or computer-aided geometric design applications of polynomials.

Themes

Polynomial analysis and derivativesExtremal properties and inequalitiesTrigonometric sums and polynomial zerosApproximation theory and computer-aided geometric designResearch problems and conjectures

Based on publisher information and book metadata.

Book overview

The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.

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