
In this paper we prove a new result connecting the summability methods | N ¯ , p n | k |\overline N ,{p_n}{|_k} with either | N , q n | k |N,{q_n}{|_k} or | N , ¯ w n | k |\overline {N,} {w_n}{|_k} for given sequences { p n } , { q n } \{ {p_n}\} ,\,\{ {q_n}\} , and { w n } \{ {w_n}\} of positive real constants. Several results, some of them known, are deduced.
Matrix methods for summability, Cesàro, Euler, Nörlund and Hausdorff methods, summability methods, absolutely summable series, Cesàro mean, Special methods of summability, \(\varphi - | C, \alpha |_ k\) summability, infinite series, Absolute and strong summability
Matrix methods for summability, Cesàro, Euler, Nörlund and Hausdorff methods, summability methods, absolutely summable series, Cesàro mean, Special methods of summability, \(\varphi - | C, \alpha |_ k\) summability, infinite series, Absolute and strong summability
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