Upload
others
View
2
Download
0
Embed Size (px)
Citation preview
Co KRIGE'
DO CCL
Exercise 1 /9p
a) De 're 've 'e I - 3×2 i pent e = - 2 em - I ell, pence = I e - o
,
deliver null e en ±
①
b) g Cx ) = f ( K A) = - ¥3 . I - paine ⇒ que
des bn
IT
bn -
- ¥1 ! ( ¥ - ¥ . ) sinned . = It E⇐tnx ) t ÷ f
÷ - 3¥.) cos na da
- I=÷a¥iinni- ÷sina.ae=n÷.
Ecco.n.it?-#.tiosn.a.
= I;÷ = kt ②n
3 it 3
*12 ( - 1)
htt
glass Z sinnx ⇒ floes = ⇐ knfj'
sin C nlt x )①
n = I
c) f est C' do - a par Dirichlet o - a CVS vers f .
On a meme CVN eh CVU.
f est L'
, on a CV C2
-
①
di Porsevae : I
' II ,= ÷ CE,
- ¥ . )'
ex
Ii ÷=I÷÷C¥ .. :# - I s = .IT ②
ffy.gl= ⇐ '
sin in 'T . ) -- Eo c- ' '
r
•c - 1)
P it 3 ②⇒ I - = -
P = o ( 2 p ti ) 3 32
Exercise 2 114mL
1) a ) On a I Icn (f) I < A do - c g Cx ) = I Cn Cf ) e
" n "CVN ( en particulier g
est
continue ) . Pan an calc al v u en Cours ( inter version I - S ) on a Cn (g) = Can ( f ) ,done f=g ds L !
②
b) si ( f ) suite de Cauchy dans ACT ), alon € Ice Cfn ) - Cee Cfm ) I I ,
i. e .
la suite ( de suites ! ) ( C" ) est de Cauchy dam e' ( IN ) .
Done C" e-?E. can e
'
Banach.
Soil f= En Cheikh, aeons f E ACT ) el Hf"
- f Ha = Kc Cf' ) - che , → O
. ②k
c ) f = Tp Cp Cf ) e' '
P "
, g = Eg Cats ) e' '
9 "
,done fog = En I Cp Cf ) Ca Cg) e
" "( mod uit de
ptg = n Cauchy )
Hfglla E E ¥.
.
Icp Htt Kaos ) I = ( E Kp(f) 1) ( I Kalos ) I ) = Hflla Hglla . ②
d) Hf Ha = loot f) I t
¥ ,ht, I Cn Cf 'll
⇐ KOCHI t €2.
Iz )"
( ¥ .
ten H 'll' )
""
②
⇐I Coffs I t C ( [ Tf ' call' doc ) "
parParse val .
e) Soil few = In caff ) e
' in "
.
C'
est un poly none Trigo eh Hfn - f HA =
, n
I cuff ) I T, O
.①
21 a ) co = de = Ep
an = ¥ So"
a - ex ) cos inside = II fo"
sin nxdx = [ cos me ] ! '=
n:# a - cos Ya)
Cn -- net C I - cos Yee ) ②
b) I - cosx E et I - cosa I 2 done
⇐ late IF + ¥6 .# +2k¥
. .
'T ) ②
Bone C- ACT )
a ⇐ set. -
- I -
①k⇐
.,
÷ = eeoc 's ) bone'
-