Book Details


Topics in Uniform Approximation of Continuous Functions

Publication year: 2020

ISBN: 978-3-030-48412-5

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This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type.In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type.

Subject: Mathematics and Statistics, Functional Analysis, Weierstrass, approximation, algebraic polynomial, trigonometric polynomial, polynomial functions