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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