eprintid: 66479
rev_number: 10
eprint_status: archive
userid: 12460
dir: disk0/00/06/64/79
datestamp: 2024-08-13 07:12:28
lastmod: 2024-08-13 07:12:28
status_changed: 2024-08-13 07:12:28
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Silvia Rachmawati, NIM.: 20106010040
title: HUBUNGAN KETAKSAMAAN SEGITIGA DAN KETAKSAMAAN CAUCHY-SCHWARZ MENGGUNAKAN SEMI INNER PRODUK TAPIA
ispublished: pub
subjects: 560
divisions: jur_mat
full_text_status: restricted
keywords: Ketaksamaan Cauchy-Schwarz, Ketaksamaan Segitiga, Ruang Bernorma, Ruang Inner Produk, Semi Inner Produk Tapia
note: Pembimbing: Malahayati, S.Si., M.Sc., dan Aulia Khifah Futhona, S.Si., M.Sc.
abstract: Triangle inequality and Cauchy-Schwarz inequality have been developed by
many researchers especially in the aspect of analytical mathematics. This thesis
discusses some inequalities obtained from the triangle inequality in normed spaces.
The results obtain two inequalities which are another form of the Clarkson distance
and a special form of the Maligranda inequality. The role of Tapia’s semi
inner product in obtaining the Cauchy-Schwarz inequality in normed spaces is also
presented in this thesis. The results are used to analyze the relationship between
triangle inequality and Cauchy-Schwarz inequality in inner product spaces. In addition,
Tapia’s semi inner product also contributes to form another representation of
the Cauchy-Schwarz inequality in inner product spaces.
date: 2024-07-05
date_type: published
pages: 78
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Silvia Rachmawati, NIM.: 20106010040  (2024) HUBUNGAN KETAKSAMAAN SEGITIGA DAN KETAKSAMAAN CAUCHY-SCHWARZ MENGGUNAKAN SEMI INNER PRODUK TAPIA.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/66479/1/20106010040_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/66479/2/20106010040_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf