Let \(\Sigma a_ n\) be a given infinite series with the sequence of partial sums \(\{s_ n\}\). Let \(\{p_ n\}\) be a sequence of constants real or complex, and let us write \(P_ n=p_ 0+p_ 1+\cdots+p_ n\neq 0\), \((n\geq 0)\). The sequence-to-sequence transformation \(\omega_ n={1\over P_ n}\sum^ n_{\nu=0}p_{n-\nu}s_ \nu\) defines the sequence \(\{\omega_ n\}\) of Nörlund means of the sequence \(\{s_ n\}\), generated by the sequence of coefficients \(\{p_ n\}\). The series \(\Sigma a_ n\) is said to be summable \(| N,p_ n|\), if \(\sum^ \infty_{n=1}| \omega_ n-\omega_{n-1}|<\infty\). Bor by taking weaker conditions than that of S. Ram [Indian J. Pure Appl. Math. 2, 275-282 (1971; Zbl 0222.40003)] has proved the following interesting theorem: Let \(p_ 0>0\), \(p_ n\geq 0\) and \(\{p_ n\}\) be a non-increasing sequence. If \(\sum^ n_{\nu=1}{1\over\nu}| t_ \nu|=O(x_ n)\) as \(n\to\infty\). Where \(\{t_ n\}\) is the \(n\)-th \((C,1)\) mean of the sequence \(\{na_ n\}\), and the sequence \(\{\lambda_ n\}\{x_ n\}\) are such that conditions \[ \sum^ \infty_{n=1}nx_ n|\Delta^ 2\lambda_ n|<\infty,\quad |\lambda_ n| x_ n=O(1)\text{ as } n\to\infty, \] are satisfied, then the series \(\Sigma a_ nP_ n\lambda_ n(n+1)^{- 1}\)is summable \(| N,p_ n|\). It is clear that the theorem of Kishore follows from the above theorem by suitably choosing \(\lambda_ n\) and \(x_ N\).