S MAT 0900347 Table of content

DAFTAR ISI

LEMBAR PERNYATAAN ............................................................................i
ABSTRAK .......................................................................................................ii
KATA PENGANTAR .....................................................................................iv
DAFTAR ISI....................................................................................................vi
DAFTAR GAMBAR .......................................................................................viii
DAFTAR SIMBOL .........................................................................................ix
BAB I

BAB II

PENDAHULUAN
1.1

Latar Belakang Masalah .........................................................1

1.2

Rumusan Masalah ...................................................................2

1.3

Tujuan Penelitian ....................................................................2

1.4

Manfaat Penelitian ..................................................................2

1.5

Sistematika Penulisan ............................................................3

LANDASAN TEORI
2.1

Keterbatasan ............................................................................4

2.2

Kekontinuan Fungsi ................................................................4

2.3

Ruang Linear Bernorm ...........................................................4

2.4

Fungsi pada Ruang Linear Bernorm .......................................5

2.5

Fungsi Konveks ......................................................................7

2.6

Kekontinuan Fungsi Konveks pada Ruang Linear Bernorm ..8

2.7

Himpunan Terukur dan Fungsi Terukur .................................9

BAB III FUNGSI MIDKONVEKS
Rischa Armalia Perdana, 2016
FUNGSI MIDKONVEKS
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

3.1

Pendahuluan ............................................................................12

3.2

Fungsi Midkonveks pada Ruang Linear Bernorm ..................12

3.3

Fungsi Midkonveks pada ℝ ....................................................22

BAB IV PENUTUP
4.1

Kesimpulan .............................................................................25

4.2

Saran .......................................................................................26

DAFTAR PUSTAKA ......................................................................................27

Rischa Armalia Perdana, 2016
FUNGSI MIDKONVEKS
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu