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All Journal Jurnal Fourier Jurnal Matematika: MANTIK Jurnal Bakti Saintek: Jurnal Pengabdian Masyarakat Bidang Sains dan Teknologi Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Journal of Fundamental Mathematics and Applications (JFMA) Ar-Riyadhiyyat: Jurnal Pendidikan Matematika Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education
Malahayati Malahayati
UIN Sunan Kalijaga Yogyakarta
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Social Sciences Other

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PEMBUKTIAN SIFAT RUANG BANACH PADA D(K) Malahayati Malahayati
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2940

Abstract

In this paper we study class of all functions which are differences of bounded semicontinuous functions on a separable metric space K denoted by . Haydon, Odell and Rosenthal (1991) proved that is a Banach space by using the series criterion for completeness. In this paper we prove the statement in a different way.
ANALISIS BEBERAPA TEOREMA KETUNGGALAN TITIK TETAP DI RUANG METRIK MULTIPLIKATIF (MULTIPLICATIVE METRIC SPACES) Malahayati Malahayati
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 1 (2018)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1701.971 KB) | DOI: 10.14710/jfma.v1i1.5

Abstract

This research was conducted to analyze several theorems about fixed point uniqueness on multiplicative metric space. Firstly, the proof of fixed point uniqueness theorem on complete multiplicative metric space is analyzed with involving multiplicative continuous functions. Then, several fixed point uniqueness theorems is analyzed without involving multiplicative continuous functions. The proof of fixed point uniqueness theorem on complete multiplicative metric space with involving multiplicative continuous functions can be done without requirement of contraction multiplicative mapping. If this mapping is satisfying a condition with involving multiplicative continuous functions then it was proven that it had the unique fixed point. Furthermore, the proof of fixed point uniqueness theorem on complete multiplicative metric space without involving multiplicative continuous functions can be done by requiring the mapping is contraction.
PEMBUKTIAN SIFAT RUANG BANACH PADA D(K) Malahayati Malahayati
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2940

Abstract

In this paper we study class of all functions which are differences of bounded semicontinuous functions on a separable metric space K denoted by . Haydon, Odell and Rosenthal (1991) proved that is a Banach space by using the series criterion for completeness. In this paper we prove the statement in a different way.
Penerapan Fungsi Green dari Persamaan Poisson pada Elektrostatika Fathul Khairi; Malahayati
Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education Vol. 1 No. 1 (2021): April 2021
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika Sekolah UIN Sunan Kalijaga Yogyakarta Jl. Marsda Adisucipto, Yogyakarta 55281

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/quadratic.2021.011-08

Abstract

The Dirac delta function is a function that mathematically does not meet the criteria as a function, this is because the function has an infinite value at a point. However, in physics the Dirac Delta function is an important construction, one of which is in constructing the Green function. This research constructs the Green function by utilizing the Dirac Delta function and Green identity. Furthermore, the construction is directed at the Green function of the Poisson's equation which is equipped with the Dirichlet boundary condition. After the form of the Green function solution from the Poisson's equation is obtained, the Green function is determined by means of the expansion of the eigen functions in the Poisson's equation. These results are used to analyze the application of the Poisson equation in electrostatic.
The Archimedean Property in Real Analysis: A Philosophical and Pedagogical Integration with Islamic Values Malahayati; Muhammad Wakhid Musthofa
Ar-Riyadhiyyat: Journal of Mathematics Education Vol. 6 No. 2 (2026): Ar-Riyadhiyyat: Journal of Mathematics Education
Publisher : Tadris Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47766/arriyadhiyyat.v6i2.6880

Abstract

This study examines the integration of Archimedes' property in real analysis with Islamic epistemology, focusing on how this integration can enhance mathematics education in Islamic higher education. The study explores Archimedes' property from both a mathematical and philosophical perspective, proposing a pedagogical model that combines technical mathematical understanding with ethical values such as humility. The study's primary contribution lies in the theoretical exploration of Archimedes' property within a broader philosophical framework, emphasizing the limitations of human knowledge and the spiritual insights offered by Islamic teachings. While the study offers an integrative pedagogical model designed to improve students' engagement with mathematics through both intellectual and moral development, it has not been empirically tested in classroom settings. Therefore, the claims of the model's feasibility and impact remain theoretical. The study suggests that future research should pilot the model in real educational environments to assess its practical effectiveness and impact on student learning outcomes. This work contributes to the literature by highlighting the potential for integrating philosophical and ethical dimensions into mathematics education, offering a new approach to teaching real analysis that is relevant to both academic and spiritual development.
Co-Authors A. Rifqi Bahtiar Fathul Khairi Ika Nugraheni Mahmudi Mahmudi Muchammad Abrori Muhammad Wakhid Musthofa Mutia Utami Noor Saif Muhammad Mussafi Santosa Santosa