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Journal : Sains dan Matematika

LEMMA HENSTOCK UNTUK SUATU FUNGSI BERNILAI VEKTOR DI DALAM RUANG METRIK KOMPAK LOKAL Manuharawati, Manuharawati
Sains & Matematika Vol 2, No 1 (2013): Oktober, Sains & Matematika
Publisher : Sains & Matematika

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Abstract

Based on an interval system S in a locally compact metric space, we have a cell in a locally compact metric space, i.e. an interval compact in S. In addition, if a cell E and a function d : E ® R+ are given, we have proven the exsistence of Perron d ® fine partition on E. Using a Perron d ® fine partition on a cell E, we can contruct a Henstock integral of a real valued function in a locally metric space nondiscrete. By generalizing a range function of its function, i.e. from a set of all real numbers to a vector space, we can construct a Henstock integral of a vector valued function on a cell in locally metric space nondiscrete. This research used a method of literature study, which was done by examining relative integral theories, building new concepts and proving theorems using logical mathematic reasoning as well as right calculation.
Lemma Henstock untuk Suatu Fungsi Bernilai Vektor di dalam Ruang Metrik Kompak Lokal Manuharawati, Manuharawati
Sains & Matematika Vol 2, No 1 (2013): Oktober, Sains & Matematika
Publisher : Sains & Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Based on an interval system S in a locally compact metric space, we have a cell in a locally compact metric space, i.e. an interval compact in S. In addition, if a cell E and a function d : E ® R+ are given, we have proven the exsistence of Perron d ® fine partition on E. Using a Perron d ® fine partition on a cell E, we can contruct a Henstock integral of a real valued function in a locally metric space nondiscrete. By generalizing a range function of its function, i.e. from a set of all real numbers to a vector space, we can construct a Henstock integral of a vector valued function on a cell in locally metric space nondiscrete. This research used a method of literature study, which was done by examining relative integral theories, building new concepts and proving theorems using logical mathematic reasoning as well as right calculation.
Lemma Henstock untuk Suatu Fungsi Bernilai Vektor di dalam Ruang Metrik Kompak Lokal Manuharawati Manuharawati
Sains dan Matematika Vol. 2 No. 1 (2013): Oktober, Sains & Matematika
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Based on an interval system S in a locally compact metric space, we have a cell in a locally compact metric space, i.e. an interval compact in S. In addition, if a cell E and a function d : E ® R+ are given, we have proven the exsistence of Perron d ® fine partition on E. Using a Perron d ® fine partition on a cell E, we can contruct a Henstock integral of a real valued function in a locally metric space nondiscrete. By generalizing a range function of its function, i.e. from a set of all real numbers to a vector space, we can construct a Henstock integral of a vector valued function on a cell in locally metric space nondiscrete. This research used a method of literature study, which was done by examining relative integral theories, building new concepts and proving theorems using logical mathematic reasoning as well as right calculation.