ABSTRACT
Pachpatte’s Series Inequalities If a is a non-negative sequence, and p, q, r ≥ 1 then f
akAk ≤ n+ 1 2
a2k;
Ap+qk ≤ ( (p+ q)(n+ 1)
( (p+ q + r)(n + 1)
Comments (i) These are proved using (H) and Davies & Petersen Inequality. (rn2) For other series results see: Series Inequalities.