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Results tagged with inequalities
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user 478035
for questions involving inequalities, upper and lower bounds.
4
votes
2
answers
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An inequality involving binomial coefficients and the powers of two
I came across the following inequality, which should hold for any integer $k\geq 1$:
$$\sum_{j=0}^{k-1}\frac{(-1)^{j}2^{k-1-j}\binom{k}{j}(k-j)}{2k+1-j}\leq
\frac{1}{3}.$$
I have been struggling with …
- 155