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LOCALLY SMALL RIEMANN SUMS FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA RUANG EUCLIDE Solikhin, Solikhin
Delta Jurnal Ilmiah Pendidikan Matematika FKIP Universitas Pekalongan Vol 1, No 2 (2013): Delta Jurnal Ilmiah Pendidikan Matematika Edisi Juli 2013
Publisher : Delta Jurnal Ilmiah Pendidikan Matematika FKIP Universitas Pekalongan

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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 shall define locally small Riemann sums (LSRS) and  show that it is necessary and sufficient condition for function to be Henstock-Dunford integral on the Euclidean space .   Kata Kunci : Henstock-Dunford integral, Locally small Riemann sums
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 ).
LOCALLY SMALL RIEMANN SUMS FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA RUANG EUCLIDE R^n Solikhin Solikhin
Delta: Jurnal Ilmiah Pendidikan Matematika Vol 1, No 2 (2013): Delta Jurnal Ilmiah Pendidikan Matematika
Publisher : Universitas Pekalongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (477.238 KB) | DOI: 10.31941/delta.v1i2.486

Abstract

In this paper we study Henstock-Dunford integral on the Euclidean space R^n . We discuss some properties of the integrable. We shall define locally small Riemann sums (LSRS) and show that it is necessary and sufficient condition for function to be Henstock-Dunford integral on the Euclidean space R^n.
Analisis Efek Pemeliharaan Sistem Intensif dan Ekstensif terhadap Produktivitas dan Kualitas Telur Itik Tegal Sunarno Sunarno; K. Budiraharjo; Solikhin Solikhin
Jurnal Peternakan Indonesia (Indonesian Journal of Animal Science) Vol 23, No 2 (2021): Jurnal Peternakan Indonesia
Publisher : Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jpi.23.2.83-93.2021

Abstract

Itik (Anas plathyrynchos domecticus) merupakan salah satu jenis unggas yang banyak dibudidayakan, terutama sebagai penghasil telur. Produk telur diketahui bermanfaat dalam pemenuhan kebutuhan protein hewani bagi masyarakat di Indonesia. Permasalahan yang dihadapi oleh peternak itik petelur, terutama di Kabupaten Brebes adalah pakan, keterbatasan pengetahuan tentang pemeliharaan itik, permintaan telur asin oleh konsumen yang tinggi yang tidak diiringi oleh peningkatan kualitas dan kuantitas telur yang diproduksi itik. Penelitian ini dilakukan untuk menganalisis pengaruh sistem pemeliharaan itik secara intensif dan ekstensif terhadap kuantitas dan kualitas telur. Variabel kualitas telur meliputi bobot badan, produksi dan bobot telur, adapun variable kualitas telur terdiri atas pH dan tinggi albumen, pH dan diameter yolk, indeks kuning telur (IKT), dan Haugh Unit (HU). Metode penelitian yang digunakan adalah pembandingan 2 populasi, yaitu antara itik yang dipelihara dengan sistem intensif dan ekstensif, masing-masing menggunakan itik sebanyak 25 ekor. Data yang didapat dianalisis dengan menggunakan uji t (t student test) pembandingan dua perlakuan. Analisis hasil penelitian menunjukkan, itik yang dipelihara dengan sistem intensif berbeda nyata dengan sistem ektensif, serta memiliki kuantitas dan kualitas telur yang lebih tinggi. Kesimpulan dari penelitian ini adalah bahwa pemeliharaan itik secara intensif dapat meningkatkan kuantitas dan kualitas telur itik, lebih tinggi dibanding itik yang dipelihara secara ekstensif. Pemeliharaan itik secara intensif direkomendasikan dapat diaplikasikan oleh para peternak lokal di Kabupaten Brebes dengan pemanfaatan sumber bahan pakan lokal yang mudah diperoleh, murah, dan aman sehingga dapat meningkatkan pendapatan peternak.
ANALYSIS OF FACTORS AFFECTING THE IMPORT OF DAIRY MILK (CASE STUDY: THE IMPORT OF DAIRY MILK IN INDONESIA) Kustopo Budiraharjo; Budi Raharjo; Solikhin Solikhin
Agrisocionomics: Jurnal Sosial Ekonomi Pertanian Vol 5, No 1 (2021): Mei 2021
Publisher : Faculty of Animal and Agricultural Science, Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/agrisocionomics.v5i1.7138

Abstract

The supply of fresh dairy milk in the country (SSDN) has not been able to meet the needs of domestic dairy milk consumption so that the fulfillment of dairy milk consumption needs is also done byimporting dairy milk. This study aims to analyze the factors that influence milk imports in Indonesia.The research method uses quantitative analysis techniques, namely multiple linear regression. This research was conducted in Indonesia using secondary data from 2006-2016 obtained at the Central Statistics Agency and the Ministry of Agriculture and other literature related to research. Research variables include exchange rates, GDP per capita, milk exports, and milk production. The results showed that variables GDP per capita, milk exports, and milk production have positive influence. Meanwhile, exchange rate has negative influence for milk imports.