BEBERAPA KARAKTERISTIK BARU PADA FUNGSI TERDEKATI

Abdul Aziz, YD Sumanto, Solikhin Solikhin, R. Heri Soelistyo Utomo

Abstract


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].

 

Abstrak. Pada artikel ini, digali keterkaitan antara fungsi terdekati dengan variasi terbatas, keterukuran, dan kekontinuan absolut. Selanjutnya diperoleh bahwa jika f adalah fungsi terdekati pada [a,b] maka f bervariasi terbatas dan terukur pada [a, b]. Dalam kaitannya dengan kekontinuan absolut diperoleh bahwa jika f adalah fungsi yang kontinu absolute pada [a,b] maka f adalah fungsi terdekati pada [a,b].


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References


A. Aziz, S. Hariyanto, Y.D.Sumanto, Solikhin. (2018). Fungsi Terdekati dan Sifat – Sifatnya. JFMA, vol.1, no. 2, pp.122 – 127.

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Lee Peng Yee, (1989). Lanzhou Lecture on Henstock Integration. World Scientific, Singapore.

Pfeffer, W.F., (1993). The Riemann Approach to Integration. Cambridge University Press, New York.




DOI: http://dx.doi.org/10.14710/jfma.v2i1.31

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