R(һ) һ бойынша дифференциал аламыз.
R,(h) = ( f(x) dx), - [f(x0) + f(x0+h)] - [ f, (x0+h)] =
= f(x0+h) - f(x0+h) - f(x0) - f, (x0+h) = [f(x0+h) - f(x0)] –
[ f, (x0+h)
R,(0) =0 . Бұдан
R,,(h) = f,(x0+h) - f,(x0+h) - f,, (x0+h) = - f,, (x0+h)
R,,(h) – ты [0; һ] кесіндісінде интегралдау арқылы R анықтаймыз.
R,,(Z)dz = R(z) = R,(h) – R, (0) = R,(h),
R,,(h) = f,(x0+h) - f,(x0+h) - f,, (x0+h) = - f,, (x0+h) формулаға сүйене отырып, мынаны аламыз:
R,(h) = R,,(Z)dz =- zf,, (x0 + Z)dz
Бұдан ортаның жалпы теоремасын қолданып, мынаны аламыз:
R,(h) =- f,, (Ę1) zdz = - f,,(Ę1)
Мұндағы Ę € [х0; х0+һ] және Ę1 һ – қа тәуелді. Бұдан
R,,(Z)dz = R(z) = R(h) – R (0) = R(h)
R,(h) =- f,, (Ę1) zdz = - f,,(Ę1) формуладан және ортаның жалпы теоремасынан мынау шығады:
R(h) = R,(Z)dz =![](data:image/png;base64,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) Z2f,, (Ę1) dz= - f,,(Ę)
Мұндағы Ę € [х0; х0+һ].
[х0; х1] кесіндісінде f функциясының туындысын табудағы қателік әдісі формулада көрсетілгені мына түрге енеді.
R = - f,,(Ę), Ę €[х0; х1]
R = - f,,(Ę), Ę €[х0; х1] формуладан f,,(Ę)>0 болғанда формуладағы интегралдың мәні артығымен, ал f,,(Ę)<0 болғанда кемімен болатындығын көреміз.
Rn = - f,,(Ę), мұндағы Ę €[а; в]
[а; в] кесіндісінің туындысын көрсету формуласы. Һn=в-а екенін есепке ала отырып, трапеция формуласының интегралдау әдісінің қатені бағалауына арналған жаңа формуласы табылады:
|Rn| ≤М
мұндағы M = max | f,,(x)|
x€[a; в]
Достарыңызбен бөлісу: |