, %#/ 23 1. & ! * ! #
# #) * # * ) # * # * &$# $ %## f 0 ), ) +!* * # + 0 ) # f(x) $ %## f +
' ) x. 3 * ( 0 [a, b] ( & 03# # 0 [a, b] ) * #.
( # 1. ' P = {x0, x1, x2, ..., xn-1, xn} a = x0 < x1 < x2 < ... < xn-1 < xn = b [a, b].
#*. 2. 03# # 0
/ 03# # 0 [a, b], ! (* +# [a, b] 35 (# # 0 + Dk = [xk-1, xk], k = 1, 2, ..., n,
[a, b] = Èk=1nDk.
8 # 0 # * */, 0 #* ) # ) ( #/ x1, x2, ..., xn-1, ! /+ / */ ' # # ) # (+ " * * ( #" 0 +.
#) * ' " #* # ' 03# #/ * 2# *# / ( # 0 + Dk.
( # 2. ! P = {x0, x1, x2, ..., xn-1, xn} - [a, b]. "
l = max1 £ k £ n (xk - xk-1)
P. * diam P.
#0 & #) * #( * #/ 2 ) !" / & # + + * ( 6 # #) * ( ##.
( # 3. ! P = {x0, x1, x2, ..., xn - 1, xn} [a, b] X = {x1, x2, ..., xn} xk Î Dk, Dk = [xk-1, xk], k = 1, 2, ..., n. ) % # f [a, b],
n
S (P, X; f ) = f (xk ) Dk ,
k =1
226