Math / Introduction to Real Analysis 3 / Chapter 7.2 / Problem 1

Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert

Let f : [a, b] JR.Show that f ~ n[a, b] if and only if there exists 80 > 0 such that for

Chapter 7, Problem 1

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Let f : [a, b] JR.Show that f ~ n[a, b] if and only if there exists 80 > 0 such that for everyn E N there exist tagged partitions Pn and Qn with liPn II < 1/n and II Qn II < 1/ n such thatIS(f; Pn) - S(f; Qn)1 ::: 80

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