A Tauberian Theorem with a Generalized One-Sided Condition
نویسندگان
چکیده
We prove a Tauberian theorem to recover moderate oscillation of a real sequence u = (u n) out of Abel limitability of the sequence (V (1) n (Δu)) and some additional condition on the general control modulo of oscillatory behavior of integer order of u = (u n).
منابع مشابه
A condition under which slow oscillation of a sequence follows from Cesàro summability of its generator sequence
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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