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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Yes, you can access Topics In Polynomials: Extremal Problems, Inequalities, Zeros by Gradimir V Milovanovic, Themistocles M Rassias, D S Mitrinovic in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Information

Publisher

World Scientific

Year

1994

ISBN

9789814360463

Topic

Physical Sciences

Subtopic

Mathematical & Computational Physics

Contents
Preface
CHAPTER 1 General Concepts of Algebraic Polynomials
CHAPTER 2 Selected Polynomial Inequalities
CHAPTER 3 Zeros of Polynomials
CHAPTER 4 Inequalities Connected With Trigonometric Sums
CHAPTER 5 Extremal Problems for Polynomials
CHAPTER 6 Extremal Problems of Markov-Bernstein Type
CHAPTER 7 Some Applications of Polynomials
Symbol Index
Name Index
Subject Index