Coupled with its sequel, this book gives a connected, unified
exposition of Approximation Theory for functions of one real
variable. It describes spaces of functions such as Sobolev,
Lipschitz, Besov rearrangement-invariant function spaces and
interpolation of operators. Other topics include Weierstrauss and
best approximation theorems, properties of polynomials and splines.
It contains history and proofs with an emphasis on principal
results.
General
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