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BEBERAPA KARAKTERISTIK BARU PADA FUNGSI TERDEKATI

*Abdul Aziz  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Y.D. Sumanto  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Solikhin Solikhin  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Roberus Heri Utomo  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia

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Abstract

In this paper, discuss the relationship between approachable function with bounded variations, measurement, and absolute continuity. Futhermore, If f is approachable function of interval [a, b] then f is a bounded variation function and f is a measurable function of interval [a, b]. In relation with absolute continuity, if f is an absolute continuous of interval [a, b] then f is approachable function of [a, b].

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  1. A. Aziz, S. Hariyanto, Y.D.Sumanto, Solikhin. (2018). Fungsi Terdekati dan Sifat – Sifatnya. JFMA, vol.1, no. 2, pp.122 – 127
  2. Gordon, Russel. A, (1994). The Integrand of Lebesgue Denjoy, Perron, and Henstock. American Mathematical Society, USA
  3. Kopp, E. & Capinski, M. (2004). Measure, Integral and Probability second edition. Springer-Verlag, London
  4. Lee Peng Yee, (1989). Lanzhou Lecture on Henstock Integration. World Scientific, Singapore
  5. Pfeffer, W.F., (1993). The Riemann Approach to Integration. Cambridge University Press, New York

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