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All Journal MATEMATIKA Delta Jurnal Ilmiah Pendidikan Matematika FKIP Universitas Pekalongan Rekayasa: Jurnal Penerapan Teknologi dan Pembelajaran Jurnal Informatika Upgris JURNAL HAMA DAN PENYAKIT TUMBUHAN TROPIKA Indonesian Journal Of Civil Engineering Education Syntax Literate: Jurnal Ilmiah Indonesia BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Agrotek Tropika Jurnal AME (Aplikasi Mekanika dan Energi): Jurnal Ilmiah Teknik Mesin Jurnal Pendidikan Jurnal Pasopati : Pengabdian Masyarakat dan Inovasi Pengembangan Teknologi Aurelia: Jurnal Penelitian dan Pengabdian Masyarakat Indonesia Bagimu Negeri : Jurnal Pengabdian Kepada Masyarakat Mount Hope Global Economic Journal Jurnal Pengabdian Fakultas Pertanian Universitas Lampung Mount Hope Management International Journal ILJ: Islamic Learning Journal Jurnal Proteksi Agrikultura
Solikhin Solikhin
Program Studi Matematika, FSM UNDIP Jl. Prof. Soedarto, S.H. Semarang, 50275
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Journal : MATEMATIKA

 1 
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 Hafid Dasuqi, Muhammad Abdullah Aman Damai Agus Karyanto AGUS PURWANTO Ainur Rosidah Ardiansyah, Prima Ari Wibawa Budi Santosa Arsha, Nabila Syahadati Asiyah, Tahsya Asya, Dinda Putri Basri, Ari Kusuma Budi Siswanto Dian Rakhmawati, Dian Efri, Efri F.X. Susilo, F.X. Fauzi, Adnan Fembriarti Erry Prasmatiwi Fiandani, Ambar Golkariansyah, Golkariansyah Gunawan, Tomy Hakim Harahap, Enda Mora Hasriadi Mat Akin Helina, Selvi Heni Pujiastuti Hesti Muliawati Hirmawan, Yuda I GEDE SWIBAWA, I GEDE Jesica, Dispy Khoirur Rozikin, Hari Kholidah, Umi Khulailiyah, Ahsanatul Kushendarto Kushendarto, Kushendarto Kustopo Budiraharjo Kuswanta Futas Hidayat Lestari Wibowo Lestari, Fiya Auliya Lucia Ratnasari Marwati , Sri Mashuri, Agus Alwi Mustakim Mustakim Nursyamsiah, Ulfa Pramono, Gatot Eka Pratiwi, Irene Indah Purnomo Purnomo Radix Suharjo Ringo, Andrew Y. C. Rivetra, Amelia Hayu Riyanto, Eko Rosma Hasibuan, Rosma Rusdi Evizal Sadiyah, Nyimas Sanjaya, Purba Saputra, Oded Septia Lutfi Septiana, Arum Ryani Setyaji, Yekti Setyo Widagdo Sri Yusnaini Sudi Pramono . Sugiatno Sugiatno Sunarno Sunarno Supriyadi, Tachli susilo hariyanto Susilo, FX. Susilo, Tarsisius Suskandini Ratih Dirmawati Taufik Hidayat Tri Maryono Tri Purwani, Tri Utomo, R. Heri Soelistyo Utomo, R. Heri Soelistyo Wibawa, Salsabila Gustia Widodo, Eko Slamet Winarsih Winarsih Winarti , Ika Winarti, Ika Y.D Sumanto Yadi, Rahman YD Sumanto Yepese, Edison Hadi Yoseph Erbito Yusticia, Stenia Ruski Yuyun Fitriana