Riemann Integral Construction Of A Sequence Of Functions In A Normed Space (l^p,‖∙‖_p )

Aswad Hariri Mangalaeng (Hasanuddin University)
Naimah Aris (Hasanuddin University)
Jusmawati Massalesse (Hasanuddin University)

JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 16 No. 3 (2020): JMSK, MAY, 2020

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.