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All Journal EKSAKTA: Journal of Sciences and Data Analysis Journal of Natural Sciences and Mathematics Research JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Pendidikan Matematika (JUDIKA EDUCATION) Journal of Fundamental Mathematics and Applications (JFMA)

Susilo Hariyanto

Mathematics Department, Faculty Of Mathematics And Natural Science, Universitas Diponegoro Semarang, Central Java

Author-ID : 4394020

Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Decision Sciences, Operations Research & Management Earth & Planetary Sciences Education Materials Science & Nanotechnology Mathematics Physics

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Articles

Finding Minimum Distance on Birkhoff-James Orthogonality in Banach Space Susilo Hariyanto; Titi Udjiani; Yuri C Sagala; Muhammad Rafid Fadil
EKSAKTA: Journal of Sciences and Data Analysis VOLUME 1, ISSUE 2, August 2020
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20885/EKSAKTA.vol1.iss2.art5

In this paper we define orthogonality concept on Banach space. That is called Birkhoff-Jamesorthogonality. Some new problem about the correlation of orthogonality between Hilbert space and Birkhoff-James were discussed. Correlation investigated by using particular norm. In other side, correlation of minimum distance in Banach space and Birkhoff-James orthogonality also discussed, by generalizing minimum distance in Hilbert space

The Solution Of Nonhomogen Abstract Cauchy Problem by Semigroup Theory of Linear Operator Susilo Hariyanto
Journal of Natural Sciences and Mathematics Research Vol 2, No 2 (2016): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

In this article we will investigate how to solve nonhomogen degenerate Cauchy problem via theory of semigroup of linear operator. The problem is formulated in Hilbert space which can be written as direct sum of subset Ker M and Ran M*. By certain assumptions the problem can be reduced to nondegenerate Cauchy problem. And then by composition between invers of operator M and the nondegenerate problem we can transform it to canonic problem, which is easier to solve than the original problem. By taking assumption that the operator A is infinitesimal generator of semigroup, the canonic problem has a unique solution. This allow to define special operator which map the solution of canonic problem to original problem. ©2016 JNSMR UIN Walisongo. All rights reserved.

Penerapan Orbits Mode Data Fitting Untuk Kalibrasi Dipstick Jovian Dian Pratama; A Nafis Haikal; Ratna Herdiana; Susilo Hariyanto
Jurnal Pendidikan Matematika:Judika Education Vol 4 No 2 (2021): Jurnal Pendidikan Matematika:Judika Education
Publisher : Institut Penelitian Matematika, Komputer, Keperawatan, Pendidikan dan Ekonomi (IPM2KPE)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31539/judika.v4i2.2576

ABSTRACT The purpose of writing this article is to examine how mathematical literacy is during the Covid-19 period. The method used is to conclude theoretical studies by reviewing, analyzing, and concluding previous and developed research in the conditions of the Covid-19 pandemic. The author examines learning problems in the Covid-19 era related to mathematical literacy. The results of the study, mathematical literacy is related to real problems. The kinds of mathematical literacy are: spatial literacy, numeracy, and quantitative literacy or data literacy. In conclusion, the existence of learning barriers during the Covid-19 pandemic created solutions and learning strategies to improve mathematical literacy. Keywords: Covid-19, Mathematical Literacy, Pandemic

Triangular Fuzzy Time Series for Two Factors High-order based on Interval Variations A. Nafis Haikal; Etna Vianita; Muhammad Sam'an; Bayu Surarso; Susilo Hariyanto
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8627

Fuzzy time series (FTS) firstly introduced by Song and Chissom has been developed to forecast such as enrollment data, stock index, air pollution, etc. In forecasting FTS data several authors define universe of discourse using coefficient values with any integer or real number as a substitute. This study focuses on interval variation in order to get better evaluation. Coefficient values analyzed and compared in unequal partition intervals and equal partition intervals with base and triangular fuzzy membership functions applied in two factors high-order. The study implemented in the Shen-hu stock index data. The models evaluated by average forecasting error rate (AFER) and compared with existing methods. AFER value 0.28% for Shen-hu stock index daily data. Based on the result, this research can be used as a reference to determine the better interval and degree membership value in the fuzzy time series.

RUANG BERNORMA LENGKAP ATAS OPERATOR LINEAR TERBATAS PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; YD Sumanto; Abdul Aziz; Susilo Hariyanto; R. Heri Soelistyo Utomo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

Abstract. We are discussed operator norms on space of Dunford integral function. We show that sets of all bounded linear operator from dual space of Banach space into space of Lebesgue integral function is Banach space. Abstrak. Artikel ini membahas norma operator atas operator linear terbatas pada ruang fungsi terintegral Dunford. Himpunan semua operator linear dari ruang dual atas ruang Banach ke ruang fungsi terintegral Lebesgue merupakan ruang bernorma yang lengkap terhadap norma operator yang diberikan.

OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; Y.D. Sumanto; Susilo Hariyanto; Abdul Aziz
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

An integral Dunford and an operator on Dunford integrable functional space have discussed in this article. The results were shown that the Dunford integrable functional space was a linear function. For every Dunford integrable function on a closed interval, there is an operator that is linear bounded and weak compact operator, whereas its adjoin operator is also linear bounded and weak compact. An operator is weak compact if and only if its adjoin operator is weak compact. Furthermore, the norm of this operator was equal to the norm of its adjoin operator.

OPERATOR ACCRETIVE KUAT PADA RUANG HILBERT Razis Aji Saputro; Susilo Hariyanto; Y.D. Sumanto
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 1 (2018)
Publisher : Diponegoro University

Pre-Hilbert space is a vector space equipped with an inner-product. Furthermore, if each Cauchy sequence in a pre-Hilbert space is convergent then it can be said complete and it called as Hilbert space. The accretive operator is a linear operator in a Hilbert space. Accretive operator is occurred if the real part of the corresponding inner product will be equal to zero or positive. Accretive operators are also associated with non-negative self-adjoint operators. Thus, an accretive operator is said to be strict if there is a positive number such that the real part of the inner product will be greater than or equal to that number times to the squared norm value of any vector in the corresponding Hilbert Space. In this paper, we prove that a strict accretive operator is an accretive operator.

FUNGSI TERDEKATI DAN SIFAT-SIFATNYA Abdul Aziz; Susilo Hariyanto; Y.D. Sumanto; Solikhin Solikhin
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

In this paper, we have defined an approachable function using a simple function on a compact sets. Furthermore the simple properties of the function was examined and it was obtained that measurable function, continuous function, and bounded function are approachable function along the function space is a linier space.

NORMA OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; Susilo Hariyanto; Y.D. Sumanto; Abdul Aziz
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

We are discussed operator norms on spce of Dunford integral function. We show that for a function which Dunford integral, operator from dual space into space of Lebesgue integral is a bounded linear operator. Furthermore, sets of all bounded linear operator is a linear space and it is a normed space by norm certain. Finally, the distance function generated by the norm is metrix space.

Co-Authors A Nafis Haikal A. Nafis Haikal Abdul Aziz Bayu Surarso Etna Vianita Jovian Dian Pratama Muhammad Rafid Fadil Muhammad Sam'an R. Heri Soelistyo Utomo Ratna Herdiana Razis Aji Saputro Solikhin Solikhin Titi Udjiani SRRM Y.D. Sumanto Yuri C Sagala

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