Riemann Integral Construction Of A Sequence Of Functions In A Normed Space (l^p,‖∙‖_p )
Keywords:Normed space l^p, Riemann integral construction, Sequence of functions
AbstractWe 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.
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