eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2009 21 3 934 938 jusps-A 1278 article On generalized Nörlund summability of infinite series  Satish Chandra 1 Vibhuti Goelu00a0 1 Department of Mathematics, S.M. Post Graduate College, Chandausi - 202412 (INDIA) <p style="text-align: justify;">In this paper we have proved a theorem on generalized N&ouml;rlund summability of infinite series, which generalizes various known results. However, our theorem is as follows.</p> <p><em>Theorem :&nbsp;</em>Let {p<sub>n</sub>} be a positive non-increasing sequence, {e<sub>n</sub>} is a positive non-decreasing sequence and {l<sub>n</sub>} is a non-negative, non-increasing such that</p> <p>as n&reg;&yen;</p> <p>n Dl<sub>n&nbsp;</sub>= O(l<sub>n&nbsp;</sub>)</p> <p>Sp<sub>n&nbsp;</sub>l<sub>n&nbsp;</sub>&lt; &yen;</p> <p>and then the series Sa<sub>n</sub>e<sub>n</sub>l<sub>n</sub>&nbsp;is summable by G(N, p, l).</p> <p>&nbsp;</p> https://www.ultrascientist.org/paper/1278/ Generalized Nu00f6rlund summability,