逼敛性定理的推广

THE GENERALIZATION OF THE FORCED CONVERGENCE THEOREM

推广了逼敛性定理,并将Cauchy—Stolz定理、Toeplitz定理及某些数列的收敛性证明,归结为推广了的定理的应用。

The forced convergence theorem of sequence is generalized. So that the Cauchy-Stolz theorem and the Toeplitz theorem and the proofs for a series of sequences' convergence are considered as applications of the theorem 2 in this paper.