and Applied Analysis 3 Then (a) for any L ∈ (N,M), there exist θ ∈ (0, 1) and T ≥ n 0 + τ + β such that for each x 0 = {x 0n } n∈N β ∈ A(N,M), the Mann iterative sequence with errors {x m } m∈N 0 = {x mn } (m,n)∈N 0 ×N β generated by the scheme

Using elliptic modular functions, Kronecker proved a number of recurrence relations for suitable class numbers of positive binary quadratic forms. For instance if F (N) denotes the number of uneven classes of positive binary quadratic forms with determinant −N, then

and Applied Analysis 3