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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Journal of the Indonesian Mathematical Society Journal of Mathematical and Fundamental Sciences Indonesian Journal of Science and Technology BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Eurekamatika IndoMath: Indonesia Mathematics Education
Masta, Al Azhary
Universitas Pendidikan Indonesia
Humanities Astronomy Chemistry Computer Science & IT Control & Systems Engineering Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Transportation

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Third Version of Weak Orlicz–Morrey Spaces and Its In-clusion Properties Masta, Al Azhary; Fatimah, Siti; Taqiyuddin, Muhammad
Indonesian Journal of Science and Technology Vol 4, No 2 (2019): IJOST: VOLUME 4, ISSUE 2, 2019
Publisher : Universitas Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/ijost.v4i2.18182

Abstract

Orlicz–Morrey spaces are generalizations of Orlicz spaces and Morrey spaces which were first introduced by Nakai. There are  three  versions  of  Orlicz–Morrey  spaces.  In  this  article,  we discussed  the  third  version  of  weak  Orlicz–Morrey  space, which is an enlargement of third version of (strong) Orlicz– Morrey space. Similar to its first version and second version, the third version of weak Orlicz-Morrey space is considered as  a  generalization  of  weak  Orlicz  spaces,  weak  Morrey spaces,  and  generalized  weak  Morrey  spaces.  This  study investigated  some  properties  of the third  version of weak Orlicz–Morrey spaces, especially the sufficient and necessary conditions for inclusion relations between two these spaces. One of the keys to get our result is to estimate the quasi- norm of characteristics function of open balls in ℝ.
A Note on Inclusion Properties of Weighted Orlicz Spaces Masta, Al Azhary; -, Ifronika; Taqiyuddin, Muhammad
Journal of the Indonesian Mathematical Society Volume 26 Number 1 (March 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.1.816.128-136

Abstract

In this paper we present sufficient and necessary conditions for the inclusion relationbetween two weighted Orlicz spaces which complete the Osan\c{c}liol result in 2014.One of the keys to prove our results is to use the norm of the characteristic functionsof the balls in $\mathbb{R}^n$.
KEKONVERGENAN DALAM RUANG LEBESGUE LEMAH DAN EKUIVALENSINYA DENGAN KEKONVERGENAN DALAM RUANG LEBESGUE Amalina, Dina Nur; Sumiaty, Encum; Masta, Al Azhary
Jurnal EurekaMatika Vol 6, No 2 (2018): Jurnal EurekaMatika
Publisher : Mathematics Program Study, Universitas Pendidikan Indonesia (UPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (323.595 KB) | DOI: 10.17509/jem.v6i2.14847

Abstract

ABSTRAK. 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. Kata kunci: Ruang Lebesgue, ruang Lebesgue lemah, quasi-norm, ruang quasi-Banach, kekonvergenan. ABSTRACT. 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. Keywords: Lebesgue space, weak Lebesgue space, quasi-norm, quasi-Banach space, convergence.
A Note on Inclusion Properties of Weighted Orlicz Spaces Al Azhary Masta; Ifronika -; Muhammad Taqiyuddin
Journal of the Indonesian Mathematical Society Volume 26 Number 1 (March 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.1.816.128-136

Abstract

In this paper we present sufficient and necessary conditions for the inclusion relationbetween two weighted Orlicz spaces which complete the Osan\c{c}liol result in 2014.One of the keys to prove our results is to use the norm of the characteristic functionsof the balls in $\mathbb{R}^n$.
Inclusion Properties of Orlicz and Weak Orlicz Spaces Al Azhary Masta; Hendra Gunawan; Wono Setya Budhi
Journal of Mathematical and Fundamental Sciences Vol. 48 No. 3 (2016)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2016.48.3.1

Abstract

This paper discusses the structure of Orlicz spaces and weak Orliczspaces on ℝn. We obtain some necessary and sufficient conditions for the inclusion property of these spaces. One of the keys is to compute the norm of the characteristic functions of the balls in ℝn.
Sifat Inklusi Dan Perumuman Ketaksamaan Hölder Pada Ruang Barisan Orlicz Pradipta Swiantana Prayoga; Al Azhary Masta; Siti Fatimah
Jurnal EurekaMatika Vol 8, No 2 (2020): Jurnal Eurekamatika
Publisher : Universitas Pendidikan Indonesia (UPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (383.077 KB) | DOI: 10.17509/jem.v8i2.30740

Abstract

Ruang Orlicz adalah perumuman dari ruang Lebesgue yang dikenalkan oleh Z. W. Birnbaum dan W. Orlicz pada tahun 1931. Terdapat dua versi ruang Orlicz, yaitu ruang Orlicz kontinu dan ruang barisan Orlicz. Topik utama penelitian ini adalah mengenai beberapa sifat pada ruang barisan Orlicz. Pada penelitian ini, penulis memperlihatkan syarat cukup dan perlu sifat inklusi dan keberlakuan ketaksamaan Hölder pada ruang barisan Orlicz. Lebih jauh lagi, penulis memperoleh syarat cukup dan perlu perumuman ketaksamaan Hölder pada ruang barisan Orlicz. Salah satu cara yang digunakan untuk membuktikan hal tersebut adalah dengan menggunakan norma dari barisan karakteristik pada .
Homomorphisms of Complex Kumjian-Pask Algebras Rizky Rosjanuardi; Endang Cahya Mulyaning Asih; Al Azhary Masta
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1262.328-337

Abstract

Let Λ and Γ be row finite k-graphs without sources. We show that ∗-algebra homomorphisms ϕ : KPC(Λ) → KPC(Γ) extend to ∗-algebra homomorphisms ϕ¯ : C∗(Λ) → C∗(Γ). We also examine necessary and sufficient conditions for algebra homomorphisms between complex Kumjian-Pask algebras KPC(Λ) and KPC(Γ) which are ∗-preserving.
Penjadwalan Dokter dan Perawat IGD Menggunakan Algoritma Kunang-Kunang Hulliyatul Khoiriyyah; Khusnul Novianingsih; Al Azhary Masta Masta
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.36294

Abstract

The Emergency Room (ER) is a part of the hospital responsible for providing initial treatment to patients with life-threatening conditions. The operational hours of the ER follow the schedule set by the hospital. ER must be ready to serve emergency patients 24 hours a day and 7 days a week. Therefore, the scheduling of doctors and nurses in the ER needs to be well-managed to enhance the efficiency of doctors and nurses in responding emergency patients quickly and effectively. In this study, the problem of doctors and nurses scheduling in the ER is solved using the Firefly Algorithm, in which doctors and nurses represented as fireflies. This algorithm is chosen since its ability to find optimal solutions for complex optimization problems. In this research, doctors and nurses can submit schedule requests to improve job satisfaction. The optimization model is constructed by a number of constraints including the availability of doctors and nurses, schedule requests, and the operational needs of the ER. The Firefly Algorithm is applied to find the optimal solution for the model. Simulation results show that this algorithm can produce an optimal schedule, in which 70.6% of doctors' schedule requests and 98.2% of nurses' schedule requests are being fulfilled.              
The Analysis of learning interest in three-dimensional material (Utilizing Augmented Reality Features in Geogebra 3D) Rukmana, Indra; Rosmayanti, Imalia Dwi; Nurizza, Shendy Septyaneu; Apriani, Meta; Latifah, Afiatul; Scarayu, Hana Mutiara; Masta, Al Azhary; Ulfa, Nadia; Taqiyuddin, Muhammad
IndoMath: Indonesia Mathematics Education Vol 8, No 1 (2025): February 2025
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/indomath.v8i1.133

Abstract

This research is motivated by the results of observations which show that the results of the three-dimensional daily assessments and end-of-semester assessments are still not optimal. This is influenced by several factors, especially the student's interest in learning in class. They still have difficulty visualizing the three dimensions so in calculating the questions given, they still experience difficulties completing them. Three-dimensional material requires a good understanding of the shapes of three-dimensional space and related concepts. Therefore, the Augmented Reality (AR) feature is needed in the Geogebra application. This research aims to analyze students' learning interests by using the Augmented Reality (AR) feature in the Geogebra application. This research used a qualitative approach where the research subjects were 61 students consisting of 33 students in class XII IPA 1 and 28 students in class XII IPS 1 at SMAIT Raudhatul Jannah Cilegon. The research results show that the presentation of each indicator on the student interest scale questionnaire has an average of 80.19%, which means that almost all students already have an interest in learning three-dimensional material using the Augmented Reality (AR) feature in the Geogebra application. It is hoped that other researchers can develop the results of this research, as well as improve the quality of learning, especially in mathematics learning with the help of the Geogebra application to increase insight.
GENERALIZED ORLICZ SEQUENCE SPACES Kustiawan, Cece; Masta, Al Azhary; Dasep, Dasep; Sumiaty, Encum; Fatimah, Siti; Hazmy, Sofihara Al
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (438.975 KB) | DOI: 10.30598/barekengvol17iss1pp0427-0438

Abstract

Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces. Some of the properties that apply to continuous Orlicz spaces are known, as are Orlicz sequence spaces. This study aims to construct new Orlicz sequence spaces by replacing a function in the Orlicz sequence spaces with a wider function. In addition, this study also aims to show that the properties of the Orlicz sequence spaces still apply to the new Orlicz sequence spaces under different conditions. The method in this research uses definitions and properties that apply to the Orlicz sequence spaces in the previous study and uses the -Young function in these new Orlicz sequence spaces. Furthermore, the results of the study show that the new Orlicz sequence spaces are an extension of the Orlicz sequence spaces in the previous study. And with the characteristics of the -Young function, it shows that the properties of the Orlicz sequence spaces still apply.
Co-Authors Amalina, Nur Dina Apriani, Meta Cece Kustiawan Dasep, Dasep Encum Sumiaty, Encum Endang Cahya M.A Fatimah, Siti Hendra Gunawan Hulliyatul Khoiriyyah Ifronika - Indra Rukmana, Indra Khusnul Novianingsih Latifah, Afiatul Muhammad Taqiyuddin Muhammad Taqiyuddin Nurizza, Shendy Septyaneu Pradipta Swiantana Prayoga Rizky Rosjanuardi Rosmayanti, Imalia Dwi Scarayu, Hana Mutiara Siti Fatimah Syamsul Arifin Ulfa, Nadia Wono Setya Budhi