Theorem 10.1.7. Let f: [a, b] R be a function of bounded variation on (a, b). If there exists a positive real number k such that 0 < k < f(x) for all r E la, b], then 1/f is a function of bounded variation on (a, b] and

Theorem 10.1.7. Let f: [a, b] R be a function of bounded variation on (a, b). If there exists a positive real number k such that 0 < k < f(x) for all r E la, b], then 1/f is a function of bounded variation on (a, b] and

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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Question

Theorem 10.1.7. Let f: [a, b) R be a function of bounded variation
on (a, b). If there exists a positive real number k such that 0 < k < f(x)
for all r e la, b], then 1/f is a function of bounded variation on (a, b] and

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