KEKONVERGENAN BARISAN FUNGSI TERINTEGRAL DARBOUX

Authors

  • Wahidah Alwi Universitas Islam Negeri Alauddin Makassar
  • Hikmawati Pathuddin Jurusan Matematika UIN-Alauddin Makassar
  • Baso Irvan Jurusan Matematika UIN-Makassar

DOI:

https://doi.org/10.24252/msa.v9i2.19141

Abstract

Penelitian ini membahas tentang kekonvergenan barisan fungsi terintegral Darboux. Ada dua jenis kekonvergenan pada barisan fungsi yaitu konvergen pointwise dan konvergen seragam. Mengingat tidak semua barisan fungsi yang terintegral dan konvergen ke suatu fungsi, fungsi limitnya terintegral atau jika terintegral, nilai integralnya belum tentu sama dengan nilai limit integral barisan fungsinya. Dalam hal ini dikaji syarat cukup agar suatu fungsi terintegral Darboux pada  sama dengan limit dari integral barisan fungsinya. Diperoleh bahwa untuk menjamin suatu fungsi terintegral Darboux pada  sama dengan limit dari integral barisan fungsinya yaitu  adalah barisan fungsi kontinu yang konvergen seragam dan  terbatas pada .

Author Biography

Wahidah Alwi, Universitas Islam Negeri Alauddin Makassar

Program Studi Matematika

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Published

2021-12-28

How to Cite

[1]
W. Alwi, H. Pathuddin, and B. Irvan, “KEKONVERGENAN BARISAN FUNGSI TERINTEGRAL DARBOUX”, MSA, vol. 9, no. 2, pp. 32–42, Dec. 2021.

Issue

Vol. 9 No. 2 (2021): VOLUME 9 NOMOR 2 TAHUN 2021

Section

Artikel

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