Ling Zhang
Abstract
In this paper the absolute continuity of the inverse function f -1 of a strictly increasing and absoutely continuous function f is discussed and a sufficient and necessary condition is given. Moreover a class of functions, in which the inverse functions are not absolutely continuous, is given.
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In this paper the absolute continuity of the inverse function f -1 of a strictly increasing and absoutely continuous function f is discussed and a sufficient and necessary condition is given. Moreover a class of functions, in which the inverse functions are not absolutely continuous, is given.
Key concepts: Absolute continuity, Mathematics, Inverse, Absolute convergence, Absolute (philosophy), Mathematical analysis, Continuous function (set theory), Function (biology)