Claim Missing Document
Check
Articles

Found 4 Documents
Search

Penerapan Teori Residu dalam Penentuan Nilai Eksak dari Deret Tak Hingga Yusuf Ramadana; Dwi Fitriani Rosali
Limits: Journal of Mathematics and Its Applications Vol 19, No 2 (2022)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v19i2.10652

Abstract

Teorema Residu memiliki penerapan yang menarik pada berbagai bidang matematika. Penerapan tersebut seperti pada evaluasi transformasi Fourier, transformasi Mellin dan penentuan nilai integral tak wajar yang melibatkan fungsi yang tergolong relatif rumit seperti pada integral Dirichlet dan integral Fresnel. Selain penerapan-penerapan tersebut dalam penentuan nilai eksak integral, teori residu juga mempunyai penerapan pada penentuan nilai eksak dari suatu deret tak hingga yang konvergen. Pada penelitian ini, diturunkan kemudian dibuktikan sebuah aturan untuk menentukan nilai eksak dari suatu deret tak hingga yang memenuhi syarat-syarat tertentu. Metode penelitian yang digunakan berupa kajian literatur. Peneliti mengumpulkan sumber-sumber ilmiah baik berupa artikel ilmiah maupun buku-buku yang kemudian dianalisis untuk mencapai tujuan penelitian. Hasil penelitian memberikan syarat cukup terkait dengan penggunaan rumus yang diperoleh, yaitu barisan  (sup{|f(z)|:z \in C_N}) yang merupakan barisan dengan indeks  konvergen dengan cepat ke nol serta  analitik kecuali untuk berhingga banyaknya pola. Dari hasil yang diperoleh tersebut, peneliti juga melakukan perhitungan mengenai nilai eksak dari fungsi zeta-riemann di bilangan genap positif sebagai salah satu aplikasi dari aturan tersebut.
On The Boundedness Properties of the Generalized Fractional Integrals on the Generalized Weighted Morrey Spaces Ramadana, Yusuf
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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

Abstract

Morrey Spaces were first introduced by C.B. Morrey in 1938. Morrey space can be considered as a generalization of the Lebesgue spaces. Morrey spaces were then generalized become the generalized Morrey spaces, the weighted Morrey spaces, and the generalized weighted Morrey spaces. One of the studies on Morrey spaces is the boundedness of certain operators on the spaces. One of the operators is the fractional integral. The boundedness of fractional integrals on the classical Morrey spaces, the weighted Morrey spaces, the generalized Morrey spaces, and the generalized weighted Morrey spaces had been known. One of the extensions of fractional integrals is generalized fractional integral. The operator was bounded on the generalized Morrey spaces. The purpose of this study is to investigate the boundedness of generalized fractional integrals on the generalized weighted Morrey spaces. The weight used is Muckenhoupt class. The results obtained show that the generalized fractional integral is bounded from generalized weighted Morrey space to another generalized weighted Morrey space under some assumptions. The main result obtained then implies the boundedness of the generalized fractional maximal operator on generalized weighted Morrey spaces under the same assumptions.
Schrödinger-type Equation with the Data in Morrey Spaces Ramadana, Yusuf
Journal of Mathematics, Statistics and Applications Vol. 2 No. 1 (2025): Mei
Publisher : PT. Lontara Digitech Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61220/

Abstract

In this paper we investigate the regularity properties of Schrödinger-type equations with the data in certain Morrey spaces. Under some assumptions, we obtain that if the data is not in certain Morrey space, then the solution is also not in certain Morrey spaces. Hence, if the data which acts on the system does not balance local regularity and global decay, then the solution does not either.
Optimalisasi Manajemen Inventori melalui Pelatihan dan Peningkatan Kemampuan Memanfaatkan Olsera dalam Pencatatan Stok Barang pada UMKM secara Online Mas'ud, Syamsuddin; Ramadana, Yusuf
LOSARI: Jurnal Pengabdian Kepada Masyarakat Vol. 7 No. 1 (2025): Juni 2025
Publisher : LOSARI DIGITAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53860/losari.v7i1.473

Abstract

Inventory data inaccuracy is a common issue faced by many UMKM, especially those operating in the food and beverage (F&B) industry. One effective solution to address this problem is implementing proper inventory management using digital tools such as the Olsera application. This community service project aimed to optimize inventory management by providing training and improving employees' skills in using Olsera for inventory recording. The project was carried out in four stages: discussions with the partner, preparation, training implementation, and monitoring and evaluation. As a result of these activities, the partner’s ability to use Olsera improved significantly, a standardized inventory recording process was established, and inventory data inaccuracies were reduced.