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RUANG BERNORMA PADA HIMPUNAN SEMUA 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
Robertus Heri Soelistyo Utomo  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia

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Abstract

In this paper, we discuss that in the approachable functions set can be defined a complete norm. Furthermore, we obtained that all of approachable functions set is a Banach Space.

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  1. Lee Peng Yee, (1989). Lanzhou Lecture on Henstock Integration. World Scientific, Singapore
  2. A. Aziz, S. Hariyanto, Y.D.Sumanto, Solikhin. (2018). Fungsi Terdekati dan Sifat – Sifatnya. Journal of Fundamental Mathematics and Applications, vol. 1, no. 2, pp.122 – 127
  3. Gordon, Russel. A, (1994). The Integrand of Lebesgue Denjoy, Perron, and Henstock. American Mathematical Society, USA
  4. A. Aziz, Y.D.Sumanto, Solikhin, Robertus Heri SU. (2019). Beberapa Karakteristik Baru pada Fungsi Terdekati. Journal of Fundamental Mathematics and Applications, vol.2, no. 1, pp.22 – 25
  5. Kreyszigm Erwin, (1978). Introductory Functional Analysis with Application, John Willey & Sons, Canada

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