Sifat-sifat Fungsi Terfragmentasi dan Fungsi Terfragmentasi Terhitung Fungsional

Abstract

study some properties of fragmented functions and functionally countably fragmented functions. Using regular transfinite sequences, we prove that the set of all real-valued fragmented functions and the set of all real-valued functionally countably fragmented functions is a ring. We also prove a property of fragmented function (functionally countably fragmented function) which is analogous to Weierstrass M-Test Theorem. Furthermore, we provide an imposed condition such that a functionally countably fragmented function is continuous.