Tauberian Conditions in Terms of General Control Modulo of Oscillatory Behavior of Integer Order of Sequences
نویسنده
چکیده
Let (un) be a sequence of real numbers and let L be any (C, 1) regular and additive limitable method. In this paper we prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some space of sequences is a Tauberian condition for L , then convergence or (C, 1) convergence of (un) out of L-limitability of (un) is recovered depending on the conditions on the general control modulo of the oscillatory behavior of integer order m of (un). Mathematics Subject Classification: 40E05
منابع مشابه
Tauberian conditions for a general limitable method
Let (un) be a sequence of real numbers, L an additive limitable method with some property, and and different spaces of sequences related to each other. We prove that if the classical control modulo of the oscillatory behavior of (un) in is a Tauberian condition for L, then the general control modulo of the oscillatory behavior of integer order m of (un) in or is also a Tauberian condition for L.
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