KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT
Abstract
Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of these functions. In addition, the integral inequality of Gronwall-Bellman shows that if a function is bounded to a certain integral values then that function is also bounded for the other conditions, that is the exponential of integral. Furthermore, by adding some specific conditions the integral inequality of Gronwall-Bellman can be extended to the case of power functions.
Downloads
References
Choy, Sung Kyu. Kang, Bowon. & Koo, Namjip. (2007). On Inequalities Of Gronwall Type, hlm. 561 – 586, Department of Mathematics Chungnam University Daejeon 305-764, Republic of Korea.
Negoro ST. & Harahap, B. (2005). Ensiklopedia Matematika, Ghalia, Bogor Selatan.
Oguntuase, James Adedayo. (2001). On An Inequality Of Gronwall, hlm. 1 – 6, Department Of Mathematical Sciences, University Of Agriculture, Abeokuta, Nigeria.
Owaidy, H. El , Ragab, A. & Abdeldaim, A. (1999). On Some New Integral Inequalities Of Gronwall – Bellman Type, hlm. 289 – 303, Department of Mathematics, Faculty of Science, AL-Azhar
University, Nasr – City.
Purcell, Edwin J. dkk. (2003). Kalkulus Jilid 1 Edisi Kedelapan, Erlangga, Jakarta.
Riyanto, M. Zaki. 2008. Pengantar Analisis Real I., Yogyakarta.
http://www.google.co.id/url?sa=t&source=web&cd=2&ved=0CCEQFjAB&url=http%3A%2F%2Fwww.emis.de%2Fjournals%2FDM%2FvXI2%2Fart4.pdf&rct=j&q=integral%20inequality&ei=EFLZTc7ODI7evQP
IPWkBw&usg=AFQjCNGX8Hm1t4ZnSkpqNQGCMufH0qXUzw&cad=rja.18 Mei 2011, Pkl. 21.45WIT
http://en.wikipedia.org/wiki/Minkowski_inequality. 20Mei 2011, Pkl. 20.00 WIT
Authors who publish with this Journal agree to the following terms:
- Author retain copyright and grant the journal right of first publication with the work simultaneously licensed under a creative commons attribution license that allow others to share the work within an acknowledgement of the work’s authorship and initial publication of this journal.
- Authors are able to enter into separate, additional contractual arrangement for the non-exclusive distribution of the journal’s published version of the work (e.g. acknowledgement of its initial publication in this journal).
- Authors are permitted and encouraged to post their work online (e.g. in institutional repositories or on their websites) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published works.