KEKONVERGENAN DALAM RUANG LEBESGUE LEMAH DAN EKUIVALENSINYA DENGAN KEKONVERGENAN DALAM RUANG LEBESGUE

    Dina Nur Amalina, - (2018) KEKONVERGENAN DALAM RUANG LEBESGUE LEMAH DAN EKUIVALENSINYA DENGAN KEKONVERGENAN DALAM RUANG LEBESGUE. S1 thesis, Universitas Pendidikan Indonesia.

    Abstract

    Ruang Lebesgue lemah merupakan perluasan dari ruang Lebesgue. Ruang ini adalah ruang quasi-norm dengan dilengkapi suatu quasi-norm. Dalam tulisan ini, penulis memperlihatkan kekonvergenan dalam ruang Lebesgue lemah ekuivalen dengan kekonvergenan dalam ruang Lebesgue. Sebagai ruang yang dilengkapi dengan quasi-norm dan memiliki kriteria Cauchy, ruang Lebesgue dapat disebut sebagai ruang quasi-Banach.;---The weak Lebesgue space is an extension of the Lebesgue space. This space is quasi-norm space equipped with a quasi-norm. In this paper, writer show convergence in weak Lebesgue space is equivalent to convergence in Lebesgue space. As a space furnished with quasi-norm and Cauchy’s criteria, the weak Lebesgue space can be referred to as quasi-Banach space.

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    Official URL: http://repository.upi.edu
    Item Type: Thesis (S1)
    Additional Information: No. Panggil : S MAT DIN k-2018; Pembimbing : I. Encum Sumiyati, II. Al Azhary; NIM. : 1404047.
    Uncontrolled Keywords: Ruang Lebesgue, ruang norm, fungsi distribusi, ruang Lebesgue lemah, ruang quasi-norm, ruang quasi-Banach, kekonvergenan, kriteria Cauchy, Lebesgue space, norm space, distribution function, weak Lebesgue space, quasi-norm space, quasi-Banach space, convergence, Cauchy’s criteria.
    Subjects: Q Science > Q Science (General)
    Q Science > QA Mathematics
    Divisions: Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Program Studi Matematika - S1 > Program Studi Matematika (non kependidikan)
    Depositing User: Isma Anggini Saktiani
    Date Deposited: 05 Jul 2019 09:53
    Last Modified: 05 Jul 2019 09:53
    URI: http://repository.upi.edu/id/eprint/35978

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