We prove that adaptive quadrature formulas for the class of monotone functions are much better than nonadaptive ones if the average error is considered. Up to now it ...
In this paper, we derive a class of approximations of the 𝑞-digamma function 𝜓𝑞(𝑥). The infinite family I a ( x;q )=log [ x+a ] q + q x logq 1− q x −( 1 2 −a )H( q−1 )logq, can be used as ...