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Inequalities

Source: Poland 1973-1974

June 16, 2016
inequalities

Problem Statement

Prove that, so have kk for ∀a1,a2,...,an\forall a_1,a_2,...,a_n satisfying ∣∑i=1kai−∑j=k+1naj∣≤max⁡1≤m≤n∣am∣|\sum_{i=1}^k a_i -\sum_{j=k+1}^n a_j |\leq \max_{1\leq m\leq n} |a_m|
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