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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Aswad Hariri Mangalaeng
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.
Solusi Primitif Persamaan Diophantine x^2+pqy^2=z^2 untuk bilangan-bilangan prima p dan q Aswad Hariri Mangalaeng
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 2 (2022): JANUARY 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i2.19018

Abstract

In this paper, we determine the primitive solutions of diophantine equations x^2+pqy^2=z^2, for positive integers x, y, z, and primes p,q. This work is based on the development of the previous results, namely using the solutions of the Diophantine equation x^2+y^2=z^2, and looking at characteristics of the solutions of the Diophantine equation x^2+3y^2=z^2 and x^2+9y^2=z^2.
Co-Authors Jusmawati Massalesse Naimah Aris