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

Year: 2020

Type: article

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.

Source: Jurnal Matematika Statistika dan Komputasi

DOI: 10.20956/jmsk.v16i3.8314

Authors: Aswad Hariri Mangalaeng, Naimah Aris, Jusmawati Massalesse

Institution: Hasanuddin University

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3021767558

FWCI:

Cites: 4

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Related to: 10