INTEGRAL PERRON DAN EKUIVALENSINYA DENGAN INTEGRAL DENJOY

Riva Yasin Nurandini, - (2018) INTEGRAL PERRON DAN EKUIVALENSINYA DENGAN INTEGRAL DENJOY. S1 thesis, Universitas Pendidikan Indonesia.

Abstract

Integral Perron adalah pengembangan dari integral Lebesgue, sehingga dengan menggunakan definisi integral Perron suatu fungsi yang tak terintegralkan Lebesgue dapat terintegralkan Perron. Sama halnya dengan integral Riemann dan integral Lebesgue, integral Perron juga memiliki sifat-sifat dasar integral diantaranya kelinearan, keterurutan, dan penambahan selang. Selain integral Perron, integral Denjoy juga merupakan pengembangan dari integral Lebesgue, hanya saja pendefinisian yang dilakukan oleh Denjoy berbeda dengan Perron. Oleh karena itu, pada penelitian ini akan dikaji hubungan antara integral Perron dan integral Denjoy, juga sifat-sifat yang dimiliki oleh integral Perron.;---The Perron Integral is the development of the integral Lebesgue, by using Perron's integral definition an unintegrated function of Lebesgue can be integrated Perron. Similar to the Riemann integral and the Lebesgue integral, the Perron integral also has the integral basic properties such as linearity, obedience, and the addition of a line. In addition to the integral Perron, the integral Denjoy is also the development of the integral Lebesgue, but the definition of Denjoy is different from Perron. Therefore, in this study will examine the relationship between the Perron integral and Denjoy integral, also the properties possessed by the Perron integral.

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Official URL: http://repository.upi.edu
Item Type: Thesis (S1)
Additional Information: No. Panggil : S MAT RIV i-2018; Pembimbing : I. Encum Sumiyati, II. Cece Kustiawan; NIM. : 1401561.
Uncontrolled Keywords: Fungsi Mayor, Fungsi Minor, Turunan Atas, Turunan Bawah, Fungsi ACG*, Integral Perron, Integral Denjoy, Major Function, Minor Function, Upper Derivative, Lower Derivative, ACG*, Perron Integral, Denjoy Integral.
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/35980

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