0 votes 0 votes $T\left ( n \right )= 8T\left ( \frac{n}{2} \right )+\left ( n\cdot logn \right )^{2.99}$ Also can $\mathcal{O}(n^{3})$ be an upper bound to above recurrence relation? Algorithms recurrence-relation master-theorem + – rexritz asked Aug 13, 2023 rexritz 348 views answer comment Share Follow See 1 comment See all 1 1 comment reply jugnu1337 commented Aug 13, 2023 reply Follow Share you can use master theorem here. a=8 b=2 k =2.99 and p = 2.99 a>b$^{k}$ (8>2$^{2.99}$) and if p>=0 then n$^{k}$ log$^{p}$n. so n$^{2.99}$log$^{2.99}$n let n$^{2.99}$log$^{2.99}$n = X we can easily see X<n$^{3}$. so yes it is upper bond . 1 votes 1 votes Please log in or register to add a comment.