About this book
The analysis of orthogonal polynomials associated with general weights
has been a major theme in classical analysis this century. The use of
potential theory since the early 1980¿s had a dramatic influence on
the development of orthogonal polynomials associated with weights on
the real line. For many applications of orthogonal polynomials, for
example in approximation theory and numerical analysis, it is not
asymptotics but certain bounds that are most important. In this
monograph, the authors define and discuss their classes of weights,
state several of their results on Christoffel functions, Bernstein
inequalities, restricted range inequalities, and record their bounds
on the orthogonal polynomials as well as their asymptotic results.
This book will be of interest to researchers in approximation theory
and potential theory, as well as in some branches of engineering.
Graduate math students, mathematicians, engineers