Question: Apply the Estimation Theorem (i.e. Theorem 7.5 proved in Lecture 15) to obtain the following upper bounds: TT 1 | dz| (1) 1 (5;1)

obtain the following upper bounds: TT 1 | dz| (1) 1 (5;1)

22 8' eiz V -dz Theorem 7.5 ( The estimation Thm) Suppose

Apply the Estimation Theorem (i.e. Theorem 7.5 proved in Lecture 15) to obtain the following upper bounds: TT 1 | dz| (1) 1 (5;1) 22 8' eiz V -dz Theorem 7.5 ( The estimation Thm) Suppose that 8:[9,b] is a path q fi 8* is cts. Then b fizi da | 55 | F(8 (+11) 18 (tildt f(z) dz 8 a 2. In particular, if | f(z) | M, VZE8+ then | [fizidz | Recall that for a EC and r, R>0 y(a;r)(0) = a +reio TR(0) = Re (0 = [0, 2]), Rei (0 = [0, ]).

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