Y.D. Sumanto
Departemen Matematika, Fakultas Sains Dan Matematika, Universitas Diponegoro

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FUNGSI TERDEKATI DAN SIFAT-SIFATNYA Abdul Aziz; Susilo Hariyanto; Y.D. Sumanto; Solikhin Solikhin
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1806.489 KB) | DOI: 10.14710/jfma.v1i2.14

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.
NORMA OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; Susilo Hariyanto; Y.D. Sumanto; Abdul Aziz
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (455.381 KB) | DOI: 10.14710/jfma.v2i2.42

Abstract

We are discussed operator norms on spce of Dunford integral function. We show that for a function which Dunford integral, operator from dual space into space of Lebesgue integral  is a bounded linear operator. Furthermore, sets of all bounded linear operator is a linear space and it is a normed space by norm certain. Finally, the distance function generated by the norm is metrix space.