let t_n be a trigonometric polynomial of degree at most n. show that if f(0) is continuous for 0 in [0,2rt],there is a trigonometric polynomial of degree at most n. the subject is approximation theory

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 1E
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lett_n be a trigonometric polynomial of
degree at most n. show that if f(0) is
continuous for 0 in [0,27t],there is a
trigonometric polynomial of degree at most n.
the subject is approximation theory
Transcribed Image Text:lett_n be a trigonometric polynomial of degree at most n. show that if f(0) is continuous for 0 in [0,27t],there is a trigonometric polynomial of degree at most n. the subject is approximation theory
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