Tauberian theorems for the weighted mean method of summability of integrals
Tauberian theorems for the weighted mean method of summability of integrals
Let q be a positive weight function on R+ := [0, ∞) which is integrable in Lebesgue's sense over every finite interval (0, x) for 0 < x < ∞, in symbol: q∈Lloc1(R+) such that Q(x):=∫0xq(t)dt≠0 for each x > 0, Q(0) = 0 and Q(x) → ∞ as x …