On the error term in a Parseval type formula in the theory of Ramanujan expansions II

For two arithmetical functions f and g   with absolutely convergent Ramanujan expansions, Murty and Saha have recently derived asymptotic formulas with error term for the convolution sum ∑n≤Nf(n)g(n+h)∑n≤Nf(n)g(n+h) under some suitable conditions. In this follow up article we improve these results with a weakened hypothesis which is in some sense minimal.