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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Naimah Aris
Hasanuddin University
Mathematics

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Riemann Integral Construction Of A Sequence Of Functions In A Normed Space (l^p,‖∙‖_p ) Aswad Hariri Mangalaeng; Naimah Aris; Jusmawati Massalesse
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 3 (2020): JMSK, MAY, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (561.082 KB) | DOI: 10.20956/jmsk.v16i3.8314

Abstract

We construct Riemann Integral for a sequence in a normed space (l^p,‖∙‖_p ). To do construction, we used some theories of real analysis and functional analysis, include some real sequences theories, some Riemann integral theory for functions in R, and some norm theories in a normed space (l^p,‖∙‖_p ). In this paper, we otained that a sequence of functions f=(f_k ):[a,b]⊂R→l^p qualify that the sequence is Riemann integrable on [a,b]⊂R.
Co-Authors Aswad Hariri Mangalaeng Jusmawati Massalesse