APROKSIMASI FUNGSI BERVARIASI-φ TERBATAS DI RUANG HENSTOCK-KURZWEIL DENGAN MENGGUNAKAN FUNGSI TANGGA

Penulis

  • Elin Herlinawati Universitas Terbuka

DOI:

https://doi.org/10.24853/fbc.8.2.121-126

Kata Kunci:

aproksimasi, Henstock-Kurzweil, fungsi bervariasi terbatas

Abstrak

Aproksimasi fungsi merupakan suatu proses pendekatan (hampiran) untuk memperoleh nilai fungsi yang mendekati nilai sebenarnya. Fungsi yang lebih rumit dapat didekati dengan fungsi yang lebih sederhana sehingga mempermudah proses komputasi. Pada artikel ini, aproksimasi fungsi difokuskan pada fungsi-fungsi bervariasi- terbatas di  dengan memanfaatkan fungsi Young. Pertama ditunjukkan eksistensi keterintegralan fungsi bervariasi- terbatas dengan menggunakan kriteria Cauchy yang berlaku pada integral Henstock-Kurzweil. Kemudian, dibuktikan teorema aproksimasi fungsi bervariasi- terbatas di  dengan menggunakan fungsi tangga

Referensi

Bongiorno, B., Piazaa L.D., dan Musial, K. 2008. “Approximation of Banach Space Valued Non-Absolutely Integrable Functions By Step Functions”. Glasgow Math. Journal. Vol 50, pp: 583-593.

Fathurrohman, Ilham. 2018. Aproksimasi Fungsi Menggunakan Metode Norm Minimum Pada Ruang Hilbert L2[a,b]. Skripsi. Bandung: Universitas Padjadjaran.

Herlinawati, Elin. 2019. “Metode PNSR Pada Interpolasi Gaussian”. Fibonacci: Jurnal Pendidikan Matematika dan Matematika. Vol. 5 (1), pp: 65-70.

Herlinawati, E. 2020. “Aproksimasi Fungsi Kontinu Terbatas Dengan Konvolusi”. Jurnal Matematika Sains Dan Teknologi. Vol 21(2), pp: 89-98. https://doi.org/10.33830/jmst.v21i2.1313.2020.

Herlinawati, Elin. 2021. “Beberapa sifat fungsi-fungsi Terintegralkan Henstock-Kurzweil di Ruang Berdimensi-N”. JMPM: Jurnal Matematika dan Pendidikan Matematika. Vol. 6 (1), pp: 81-89. https://doi.org/10.26594/jmpm.v6i1.2170.

Masta, A.A., Gunawan, Hendra., Budhi, W.S. 2016. “Inclusion Properties of Orlicz and Weak Orlicz Spaces”. J. Math. Fund. Sci. Vol. 48(3), pp:193-203.

Piazza, Luisa Di., Musial, kazimierz., dan Marraffa, Valeria. 2016. “Variational henstock Integrability of Banach Space Valued Functions”. Mathematica Bohemica. Vol 141(2), pp:287-296.

Torres, Fransisco J.M., dan Sanches-Perales, Salvador. 2009. “Inclusion Relations for the Spaces L(R), HK(R) ∩ BV(R), and L2(R)”. Russian Journal of Mathematical Physics. Vol. 16(2), pp: 287-289.

Varayu, Boonpogkrong, dan Chew, Tuan Seng. 2005a. “On Integrals With Integrators in BV_φ “. Real analysis Excange. Vo. 30(1), pp: 193-200.

Varayu, Boonpogkrong, dan Chew, Tuan Seng. 2005b. “The Henstock-Kurzweil Approach to Young Integrals with Integrators in BV_φ “. Mathematica Bohemica. Vol 131(3), pp:233-260.

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Diterbitkan

2022-12-31

Terbitan

Vol 8 No 2 (2022): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika

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