Abstract
[8, Theorem 21. It is easily seen that for m =1, summability I A, V m and summability f R, X, k | m are the same as summability I A, X J [9] and summability fR, X, kf [21 respectively. Borwein [1] has shown that for An-n summability I R, X, k I m of EaZ is equivalent to its absolute Cesaro summability with index m. 1.2. Hyslop [6] has established the following Tauberian theorem for absolute summability.
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