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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Madrasah: Jurnal Pendidikan dan Pembelajaran Dasar Science and Technology Indonesia Jurnal Riset Mahasiswa Matematika Journal of Research on Community Engagement
Hairur Rahman
Universitas Muhamadiyah Malang
Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Education Environmental Science Materials Science & Nanotechnology Mathematics Physics Social Sciences

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Journal : Jurnal Riset Mahasiswa Matematika

 1 
Syarat Cukup Ketaksamaan Holder di Ruang Lebesgue dengan Variabel Eksponen Ba'is, Mohamad Abdul; Rahman, Hairur; Herawati, Erna
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i1.14619

Abstract

Hӧlder inequality is a basic inequality in functional analysis. The inequality used for proofing other inequalities. In this research, the development of the application of the Hӧlder inequality in the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent. The integral Hӧlder inequality is used because the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent is a function space.This research shows the sufficient condition of Hӧlder inequality in Lebesgue spaces with variable exponent and the Morrey spaces with variable exponent according to the norm of the function and its characteristics.
Model Epidemi Suspected Exposed Infected Recovered (SEIR) Pada Penyebaran COVID-19 Orde-Fraksional Nisa, Khoirotun; Rahman, Hairur; Kusumastuti, Ari
Jurnal Riset Mahasiswa Matematika Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i3.14440

Abstract

This article discusses the solution to the fractional order SEIR equation with the help of the Homotopy Perturbation Method (HPM). This mathematical model is the SEIR model of the spread of COVID-19 cases in Indonesia. In general, the nonlinear Ordinary Differential Equation System (ODES) solution is quite difficult to solve analytically, so this research will transform the nonlinear ODES into a Fractional Differential Equation System (FDES). The method used in completing this research is the HPM method. The solution for the fractional order by the HPM method is obtained by the following steps: 1). Multiply each SEIR equation against the embedding parameter and equate each coefficient in the assumed infinite series to find the solution, 2). Simulate numerical solutions and perform graph interpretation. The numerical simulation shows that the susceptible human population, the infected human population without symptoms, the recovered human population has increased, in contrast to the infected human population with decreased symptoms. The HPM method in its numerical solution shows a fairly small comparison to the nonlinear ODES solution.
Ruang l^p pada Norm-2 Lengkap Utami, Sri; Rahman, Hairur; Ismiarti, Dewi
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i4.14464

Abstract

The space l^p with 1≤p∞ is the set of real numbers that satisfy _(n=1)^∞▒〖|x_n |^p∞〗.The function in the vector space X which has real value which fulfills the norm-2 properties is denoted by ,⋅‖ and the pair (X,‖⋅,⋅‖) is called the norm-2 space.A norm-2 space is said to be complete or called a Banach-2 space if every Cauchy sequence in the space converges to an element in that space.This research was conducted to prove the l^p space in the complete norm-2.The first step to prove the completeness is to prove that the norm contained in l^p with 1≤p∞ satisfies the properties of norm-2.Next, prove that the norm derived from norm-2 is equivalent to the norm in l^p.Next shows that every Cauchy sequence in space l^p converges to an element in space l^p.Based on this proof, it is found that (l^p,‖⋅,⋅‖) is a complete norm-2 space.
Operator Integral Fraksional yang diperumum pada Ruang Morrey yang diperumum Putri, Safira Nur Aulia; Rahman, Hairur; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 3 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i3.16973

Abstract

The fractional integral operator or Riesz operator is a finite operator of the Lebesgue space. This fractional integral operator maps any real-valued function into the integral form of the fractional integral function. Morrey space is a collection of general form member functions of Lebesgue space. In this study, we will discuss the generalized fractional integral operator on a generalized Morrey space. The proof will be done using partitioned. It can be concluded that the generalized fractional integral operator on Morrey space generalized to Theorem A and Theorems B .
Implementasi Backpropagation Neural Network pada Prediksi Jumlah Penjualan Toyota Avanza di Indonesia Mufinnun, Nur Fatin; Rahman, Hairur; Jauhari, Mohammad Nafie
Jurnal Riset Mahasiswa Matematika Vol 1, No 6 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i6.14594

Abstract

Prediction is a branch of science that is used to predict events that may occur in the future based on past events. One of the developed prediction methods, Backpropagation Neural Network, a method that has a good level of effectiveness. This study aims to determine the model and the accuracy of the model in predicting the total sales of the Toyota Avanza and to find out the results of sales predictions for the next 12 months by analyzing the number of sales in January 2010 to October 2021. The prediction model for the number of Toyota Avanza sales using the Backpropagation Neural Network is 12-13-1, where there are 12 variables in the input layer, 13 variables in the hidden layer and 1 variable in the output layer with a learning rate value of 0.5 and momentum 0. The predictions for the number of Toyota Avanza sales for 12 months are at an average upper limit of 6215 and an average lower limit of 3415 with a MAPE value of 9,39135%, so that the model can be said to be very good. 
Ketaksamaan Operator Integral Fraksional yang Diperumum pada Ruang Morrey Tak Homogen yang Diperumum Azizah, Siti Rohmah; Rahman, Hairur; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 5 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i5.16970

Abstract

A Fractional integral operator is one of the operators in mathematical analysis. Fractional integral operator itself maps any real-valued function into the integral form  of the division of the at function. One of the expansion of fractional integral operator is generalized fractional integral operator. Morrey space is an extension of Lebesgue space. Morrey space is the set of all Lebesgue measurable functions, whose norm is finite over Morrey space. In this study, we will discuss the inequalities of the generalized fractional integral operator on a generalized non-homogeneous Morrey space. We proved of this inequality using the Chebyshev inequality and the Holder inequality.
Analisis Konstanta Euler-Mascheroni yang Diperumum pada Deret Harmonik Rahman, Raisha Inayah; Rahman, Hairur; Herawati, Erna
Jurnal Riset Mahasiswa Matematika Vol 3, No 2 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i2.22447

Abstract

The generalized Euler-Mascheroni constant analyzes functions or sequences with specific parameters in various scientific fields. As scientific knowledge advances, the generalized Euler-Mascheroni constant continues to undergo renewal. One example is found in "On Generalized Euler-Mascheroni Constants" by G. Abe-I-Kpeng, M.M. Iddirisu, and K. Nantomah in 2022. The purpose of this study is to analyze the relationship between the generalized Euler-Mascheroni constant and harmonic series, as well as to examine its connection with signed count permutations. The analysis involves decomposing the Riemann Zeta function and using Stirling numbers of the first kind. The methodology employed in this study was literature research. This study yields new theorems concerning the generalized Euler-Mascheroni constant. 
Implementasi Data Mining Menggunakan Algoritma C4.5 pada Klasifikasi Penjualan Hijab Husna, Faridatul; Rahman, Hairur; Juhari, Juhari
Jurnal Riset Mahasiswa Matematika Vol 2, No 2 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i2.14891

Abstract

Indonesia is known as a country with a majority Muslim population, this makes the need for clothing in Indonesia must also pay attention to the criteria for Muslim clothing, one of which is the hijab. Business developments in the fashion world, especially hijab, have become a trend setter at this time so that the large amount of data in the fashion business world creates conditions where there are businesspeople who have a lot of data but lack of information from that data. To deal with these conditions, it is necessary to classify the data. A classification is a process to find the same properties in a data set to be classified into different classes.  One of the classification methods is the Decision tree using the C4.5 Algorithm.  This research aims to determine the model and the accuracy of the C4.5 algorithm in classifying hijab sales from several hijab brands.  The Decision tree model is obtained using the C4.5 algorithm with the first root being the price attribute, where the first root is the attribute that most affected the sale of the hijab.  The result of calculating the accuracy value is 87% so that the Decision tree model and the classification process using the C4.5 Algorithm are classified as good. This research is expected to help businesspeople in the fashion sector, especially hijab, to find out the factors that influence consumer interest in a hijab product.
Syarat Cukup Ketaksamaan Hӧlder dan Ketaksamaan Minkowski di Perumuman Ruang Morrey Ummah, Nahdliyatul; Rahman, Hairur; Ismiarti, Dewi
Jurnal Riset Mahasiswa Matematika Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i3.14369

Abstract

The purpose of this research is to show the sufficient condition for Hӧlder inequality and Minkowski inequality in generalization of Morrey space and its weak space, namely generalization of weak Morrey space. This research focuses on the application of Hӧlder inequality and Minkowski inequality in generalization of Morrey space and generalization of weak Morrey space based on the characteristics of the two spaces in the set of n-dimensional real numbers.
Co-Authors Akyunul Jannah Amanatul Husnia Angga Dwi Mulyanto Ari Kusumastuti Azizah, Siti Rohmah Ba'is, Mohamad Abdul Erna Herawati, Erna Husna, Faridatul Imam Sujarwo Ismiarti, Dewi Juhari Juhari, Juhari Karim, Corina Marjono Marjono Mohammad Nafie Jauhari Mufinnun, Nur Fatin Nasichuddin, Achmad Nisa', Hilwin Nisa, Khoirotun Putri, Safira Nur Aulia Rahman, Raisha Inayah Sri Harini Sri Utami Syaifudin, Rizky Aziz Ummah, Nahdliyatul