Aproximarea functionalelor liniare

Introducere
Derivare numerică
Integrare numerică
Cuadraturi adaptive
Cuadraturi . . .
Cuadraturi . . .
Formule . . .
Home Page
Title Page
◭◭ ◮◮
◭ ◮
Page 23 of 58
Go Back
Full Screen
Close
Quit
Integrând avem
xk+1
unde
iar
xk
f(x)dx = h
2 (fk + fk+1) + R1(f),
R1(f) =
K1(t)= (xk+1 − t) 2
2
= (xk+1 − t) 2
2
xk+1
xk
K1(t)f ′′ (t)dt,
− h
2 [(xk − t)+ + (xk+1 − t)+]
− h(xk+1 − t)
2