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All Journal MATEMATIKA SAINS DAN MATEMATIKA Epsilon: Jurnal Matematika Murni dan Terapan Delta Jurnal Ilmiah Pendidikan Matematika FKIP Universitas Pekalongan Jurnal Peternakan Indonesia Indonesian Journal Of Civil Engineering Education BAREKENG: Jurnal Ilmu Matematika dan Terapan Biosaintifika: Journal of Biology & Biology Education Agrisocionomics: Jurnal Sosial Ekonomi Pertanian Delta: Jurnal Ilmiah Pendidikan Matematika Jurnal Abdi Insani Jurnal Pasopati : Pengabdian Masyarakat dan Inovasi Pengembangan Teknologi Journal of Fundamental Mathematics and Applications (JFMA) Birokrasi: Jurnal Ilmu Hukum dan Tata Negara
Solikhin Solikhin
Departemen Matematika, Fakultas Sains Dan Matematika Universitas Diponegoro, Jl. Prof. Jacub Rais, Tembalang, Semarang, Indonesia 50275
Aerospace Engineering Agriculture, Biological Sciences & Forestry Automotive Engineering Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Physics Social Sciences Transportation

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Journal : matematika

 1 
PERLUASAN HARNACK DAN SIFAT CAUCHY INTEGRAL HENSTOCK-DUNFORD PADA RUANG EUCLIDE ., Solikhin
MATEMATIKA Vol 16, No 1 (2013): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Dunford integral on the Euclidean space . We discuss some properties of the integrable. We prove  the Harnack Extension theorems and the Cauchy extension theorems for Henstock-Dunford integral on the Euclidean space .
ESSENTIALLY SMALL RIEMANN SUMS FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA [a,b] ., Solikhin; Sumanto, Y.D; Khabibah, Siti
MATEMATIKA Vol 17, No 2 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Dunford integral on [a,b]. We discuss some properties of the integrable. We shall define essentially small Riemann sums (ESRS)  and show that it is necessary and sufficient condition for function to be Henstock-Dunford integral on [a,b].
KEKONVERGENAN BARISAN FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA [a,b] ., Solikhin; Zaki, Solichin; Tjahjana, Redemtus Heru
MATEMATIKA Vol 19, No 1 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Artikel ini membahas tentang kekonvergenan barisan fungsi yang terintegral Henstock-Dunford pada [a,b]. Dalam hal ini dikaji syarat cukup agar limit barisan nilai integral suatu fungsi terintegral Henstock-Dunford sama dengan limit barisan fungsinya. Diperoleh bahwa  untuk menjamin fungsi  terintegral Henstock-Dunford dan limit barisannya sama dengan nilai fungsinya maka barisan fungsi yang terintegral Henstock-Dunford harus konvergen seragam atau barisan fungsi yang terintegral Henstock-Dunford harus konvergen lemah dan monoton lemah serta limitnya ada, atau barisan fungsinya konvergen lemah dan terbatas.
SYARAT PERLU DAN CUKUP INTEGRAL HENSTOCK-BOCHNER DAN INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Hariyanto, Susilo; Sumanto, Y.D; Aziz, Abdul
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Bochner and Henstock-Dunford integral on [a,b]. We discuss some properties of  the integrable. For every function which Henstock-Bochner integrable then it is Hentsock-Dunford integrable. The contrary is not true. Further more, let for any  and collection  is Henstock-equi-integrable. We will show that function   is Henstock-Bochner  integrable on   if only if  it is Henstock-Dunford integrable on .
RUANG MATRIX LINEAR TRANSLASI INVARIAN PADA RUANG FUNGSI INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Sumanto, YD; Hariyanto, Susilo; Aziz, Abdul
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Dunford integral on [a,b]. We discuss some properties of the integrable. We will construct norm and matrix on Dunford-Henstock integrable function space, $HD[a,b]$. We obtain that $HD[a,b]$ is linear space. A function $\left\| \,.\, \right\|:HD[a,b]\to R$ defined by $\left\| f \right\|=\underset{\begin{smallmatrix} {{x}^{*}}\in {{X}^{*}} \\ \left\| {{x}^{*}} \right\| \le 1 \end{smallmatrix}}{\mathop{\sup}}\, \\ left( \underset{A\subset[a,b]}{\mathop{\sup}}\,\,\left| \left( H \right) \int \limits_{A}{{{x}^{*}}f} \right| \right)$ for every $f \in HD[a,b]$ is norm on linear space $HD[a,b]$. A function $d:HD[a,b]\times HD[a,b]\to R$ defined by $d\left( f,g \right)=\left\| f-g \right\|$ for every $f,g\in HD[a,b]$ is a matrix on linear space $HD[a,b]$. Further more, linear space $HD[a,b]$ is linear matrix translation invarian space.
METODE ASM PADA MASALAH TRANSPORTASI SEIMBANG Septiana, Arum Ryani; Solikhin, Solikhin; Ratnasari, Lucia
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The transportation problem is special case on the linear programming which examines the goods’ distribution for minimize shipping cost or maximize profits. In general, transportation problem requires two stages of completion, which is looking for feasible solution first and the look for the optimal solution. Abdul Quddoos, Dr. Shakeel Javaid, and Prof. Mohd Masood Khalid did some research for a new method, ASM method which is direct method with simple and fast way. This method relies on the cell that has the number 0 with the smallest index, and used to minimize transport costs. This final project determines the optimal solution using ASM method, both to mimize costs and maximize profits, and investigate the optimal method of ASM. The solution that obtained by ASM method on balanced transportation problem is always optimal, while for unbalanced transportation problem is not always optimal. The difference between algorithm for minimizing cases and maximize cases lies only in the first step, which is if the maximization case, then change c_ij into(-c_ij ).
Co-Authors A G Thamrin Abdul Aziz Abdul Aziz Achmad Mujab M Adnan Fauzi Adnan Fauzi Adnan Fauzi Agus Setyawan Alexius Adrian Beatle Kusuma Andi Trimulyono Ari Wibawa Budi Santosa Ari Wibawa Budi Santosa Ari Wibawa Budi Santosa Ari Wibawa Budi Santosa Ari Wibawa Budi Santosa Ari Wibawa Budi Santoso Ari Wibawa Budi Santoso Arizal Rusdiyanto Arsha, Nabila Syahadati Asiyah, Tahsya Bambang Irawanto Budi Raharjo Budi Siswanto Dian Tri Wahyuningsih Eko Sasmito Hadi Fauzi, Adnan Fiya Auliya Lestari Fiya Auliya Lestari Fiya Auliya Lestari Fuad Muhammad Hafiz Rama Devara Handika Lintang Saputra Haryadi Hesti Muliawati Hilma Khalimatus Sa'diyyah Jafron Wasiq Hidayat K. Budiraharjo Kustopo Budiraharjo Kustopo Budiraharjo Kustopo Budiraharjo Lestari, Fiya Auliya Lucia Ratnasari Melati Aulia Suryaningtyas Muh Amin Saleh Muhammad Iqbal Ningtyas, Maharani Pramelia Nursyamsiah, Ulfa Purnawan Adi Wicaksono Purnawan Adi Wicaksono Purnawan Adi Wicaksono Purnawan Adi Wicaksono R. Heri Soelistyo Utomo Redemtus Heru Tjahjana Rivetra, Amelia Hayu Robertus Heri Sulistyo Utomo Roberus Heri Utomo S Sutrisno Septiana, Arum Ryani Setyaji, Yekti Shofi Salsabila Dwi Vanda Siti Khabibah Siti Khabibah Solichin Zaki Sumanto Sumanto Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarno Sunarsih Sunarsih Suryoto Suryoto susilo hariyanto Susilo Hariyanto Tasya Tazkiyah Triana Nur Agustiningsih Utomo, R. Heri Soelistyo Utomo, R. Heri Soelistyo Wibawa, Salsabila Gustia Y.D Sumanto Y.D. Sumanto YD Sumanto Yekti Setyaji