SOME CONDITIONS UNDER WHICH SUBSEQUENTIAL CONVERGENCE FOLLOWS FROM (A,m) SUMMABILITY
نویسندگان
چکیده
In this paper, we obtain some conditions on a sequence under which subsequential convergence [Math. Morav. 5, 19-56 (2001; Zbl 1047.40005)] of the sequence follows from its (A, m) summability.
منابع مشابه
Some conditions under which slow oscillation of a sequence of fuzzy numbers follows from Ces`{a}ro summability of its generator sequence
Let $(u_n)$ be a sequence of fuzzy numbers. We recover the slow oscillation of $(u_n)$ of fuzzy numbers from the Ces`{a}ro summability of its generator sequence and some additional conditions imposed on $(u_n)$. Further, fuzzy analogues of some well known classical Tauberian theorems for Ces`{a}ro summability method are established as particular cases.
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In this paper we retrieve slow oscillation of a real sequence fromCesàro summability of its generator sequence under some one-sided condition. References[1] F. Dik, Tauberian theorems for convergence and subsequential convergence with moderatelyoscillatory behavior, Math. Morav. 5: 19–56 (2001).[2] M. Dik, Tauberian theorems for sequences with moderately oscillatory control modu...
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