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$\begingroup$ Ok you solved this with substitution method.Is there no possibility to solve this by master therom? $\endgroup$

user1917769
– user1917769

2013-09-28 18:46:54 +00:00
Commented Sep 28, 2013 at 18:46
$\begingroup$ You can solve it using the Akra-Bazzi theorem. If your version of the master theorem can handle recurrences of the form $X(n) = aX(n/b) + f(n)$ for $f = n^\alpha(\log n)^\beta$, then it can handle the present recurrence (such a theorem can be stated), otherwise it cannot. Also consider the possible outcomes in your version of the master theorem - is $\Theta(m\log\log m)$ one of them? If not, you can't possibly use your theorem to deduce such a solution. $\endgroup$

Yuval Filmus
– Yuval Filmus

2013-09-28 22:23:27 +00:00
Commented Sep 28, 2013 at 22:23

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