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Abstract
tn = ( ('n-v u)s,. It is known (see, e.g., Hardy [1, Theorem 208]) that a necessary and sufficient condition for a Hausdorff transformation generated by a sequence {,An} to be regular is that there exists in the interval [0, 1] a function X(t) of bounded variation such that x(O) =x(+0) = 0, X(1) = 1, and An = fxdX (x), n = 0, 1, 2, Let f(x) be a periodic function with period 27, and integrable L in (-7r, 7r), and let
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