SIFAT KEMONOTONAN PADA JUMLAH TRAPESIUM DARI HAMPIRAN FUNGSI-FUNGSI KONVEKS

Authors

  • Yudasril Yudasril Institut Pertanian Bogor
  • Berlian Setiawaty Institut Pertanian Bogor

DOI:

https://doi.org/10.32493/sm.v3i1.8340

Keywords:

barisan, ekor barisan, fungsi konveks, jumlah trapesium, monoton naik.

Abstract

Selain jumlah Darboux, jumlah trapesium juga dapat digunakan dalam menghampiri luas daerah di bawah kurva dari suatu fungsi ð‘“ real taknegatif pada suatu interval [ð‘Ž, ð‘]. Untuk setiap partisi ð‘ƒð‘› yang membagi interval [ð‘Ž, ð‘] menjadi ð‘› subinterval dengan jarak yang sama, dibentuk suatu pendekatan dari nilai integral atau luas di bawah kurva ð‘“ pada [ð‘Ž, ð‘] yakni, jumlah trapesium ð‘‡ð‘› (ð‘“). Dalam tulisan ini, akan diperlihatkan bahwa terdapat suatu fungsi linear sesepenggal ð‘” yang menghampiri fungsi konveks ð‘“ sedemikian sehingga ekor barisan dari barisan jumlah trapesium {ð‘‡ð‘› (ð‘”)}ð‘›=1 ∞ adalah monoton naik.

References

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Published

2021-01-31

Issue

Vol. 3 No. 1 (2021)

Section

Articles

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