FUNGSI TERDEKATI DAN SIFAT-SIFATNYA

Abdul Aziz, YD Sumanto, Susilo Hariyanto, Solikhin Solikhin

Abstract


Abstract. In this paper, we have defined an approachable function using a simple function on a compact sets. Furthermore the simple properties of the function was examined and it was obtained that measurable function, continuous function, and bounded function are approachable function along the function space is a linier space.

Keywords: Simple function, Measurable function, Tag partition

 

Abstrak. Pada artikel ini, didefinisikan fungsi terdekati menggunakan suatu fungsi sederhana pada himpunan kompak. Selanjutnya dikaji sifat – sifat sederhana dari fungsi tersebut dan diperoleh bahwa fungsi terukur, fungsi kontinu, dan fungsi terbatas semuanya merupakan fungsi terdekati serta ruang fungsi tersebut merupakan ruang linier.

Kata kunci: Fungsi sederhana, fungsi terukur, partisi tanda


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References


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

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DOI: http://dx.doi.org/10.14710/jfma.v1i2.14

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