Muffidah, Ratna (2020) Sifat-sifat Klas Barisan Bervariasi Terbatas Tidak Satu Sisi Orde r. Magister thesis, Universitas Brawijaya.
Abstract
Deret trigonometri yang merupakan penyelesaian suatu persamaan diferensial parsial menjadi deret Fourier, jika koefisien deret Fourier tersebut bersifat monoton turun dan konvergen ke nol. Barisan Koefisien dalam deret Fourier telah dikembangkan menjadi beberapa klas, seperti General monotone sequences (GM S) dan Non-one sided Bounded variation sequences (N BV S). Pada penelitian selanjutnya, ada kelas baru yaitu General monotone sequences order r (GM S(r)). Jika koefisien-koefisien tersebut anggota dari klas GM S, N BV S, dan GM S(r), maka deret sinus dengan koefisien tersebut tetap terjamin konvergen seragam, sehingga dijamin tetap deret Fourier. Penulis akan membahas pengembangan kelas Non-one Sided Bounded Variation Sequences ke dalam orde r, yaitu Non-one Sided Bounded Variation Sequences order r (N BV S(r)).
English Abstract
Trigonometric series which are the solution of a partial differential equation become the Fourier series, if the coefficient of the Fourier series are monotonically decreasing and converges to zero. The coefficient sequence in the Fourier series has been developed into several classes, such as General Monotone Sequences (GM S) and Non-one sided Bounded Variation Sequences (N BV S). And the next research, there was a new class called General monotone sequences order r (GM S(r)). If the coefficients were member of the GM S, N BV S, and GM S(r) classes, so the sine series with these coefficients are guaranteed to converge uniformly, then they are guaranteed in the Fourier series. Researcher discussed about generalization of Non-one Sided Bounded Variation Sequences into order r, which is Non-one Sided Bounded Variation Sequences order r (N BV S(r)).
Other obstract
-
| Item Type: | Thesis (Magister) |
|---|---|
| Identification Number: | TES/515.243 3/MUF/s/2020/042002839 |
| Subjects: | 500 Natural sciences and mathematics > 515 Analysis > 515.2 General aspects of analysis > 515.243 3 Fourier and harmonic analysis |
| Divisions: | S2/S3 > Magister Matematika, Fakultas MIPA |
| Depositing User: | Endang Susworini |
| Date Deposited: | 26 Sep 2022 03:24 |
| Last Modified: | 09 Jan 2023 02:31 |
| URI: | http://repository.ub.ac.id/id/eprint/194809 |
![[thumbnail of DALAM MASA EMBARGO]](http://repository.ub.ac.id/style/images/fileicons/text.png) |
Text (DALAM MASA EMBARGO)
Ratna Muffidah.pdf Restricted to Registered users only until 31 December 2023. Download (4MB) |
Actions (login required)
 |
View Item |