FUNGSI ELEMEN KELAS STUMMEL MODULUS TERBATAS TETAPI BUKAN ELEMEN DARI KELAS STUMMEL

  • Nicky Kurnia Tumalun Universitas Negeri Manado
DOI: https://doi.org/10.30598/barekengvol15iss1pp077-084
Keywords: kelas Stummel modulus terbatas, kelas Stummel

Abstract

In the paper [1], it was given a function which belongs to the bounded Stummel modulus classes but not in Stummel classes. The given proof of this function properties in that paper was not obvious and very concise. By using the countable linearity property of integral, polar coordinate of integration, other properties of Lebesgue measure and integration, and some observation on the geometric property of the open ball in Euclidean spaces, we prove in detail the properties of this function.

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References

N. K. Tumalun, D. I. Hakim and H. Gunawan, “Inclusion between generalized Stummel classes and other function spaces,†Math. Inequal. Appl., vol. 23, no. 2, pp. 547-562, 2020.

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Published
2021-03-01
How to Cite
[1]
N. Tumalun, “FUNGSI ELEMEN KELAS STUMMEL MODULUS TERBATAS TETAPI BUKAN ELEMEN DARI KELAS STUMMEL”, BAREKENG: J. Math. & App., vol. 15, no. 1, pp. 077-084, Mar. 2021.
Issue
Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

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