A Tauberian theorem for a generalized power series method
نویسندگان
چکیده
منابع مشابه
A Tauberian Theorem for the Generalized Nörlund-euler Summability Method
Let (pn) and (qn) be any two non-negative real sequences with Rn := n ∑ k=0 pkqn−k 6= 0 (n ∈ N). And E1 n− Euler summability method. Let (xn) be a sequence of real or complex numbers and set N p,qE 1 n := 1 Rn n ∑
متن کاملA Tauberian theorem for Ingham summation method
The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Taube-rian theorem we prove can be used to analyze asymptotics of mean values of multiplicative functions on natural numbers.
متن کاملA Tauberian Theorem with a Generalized One-Sided Condition
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).
متن کاملA Tauberian Theorem for Stretchings
R. C. Buck fl] has shown that if a regular matrix sums every subsequence of a sequence x, then x is convergent. I. J. Maddox [4] improved Buck's theorem by showing that if a non-Schur matrix sums every subsequence of a sequence x, then x is convergent. Actually Maddox proved a stronger result: If x is divergent and A sums every subsequence of x, then A is a Schur matrix, i.e., It should be rema...
متن کاملA Tauberian Theorem for (C, 1) Summability Method
In this paper, we retrieve slow oscillation of a real sequence u = (u n) out of (C, 1) summability of the generator sequence (V (0) n (Δu)) of (u n) under some additional condition. Consequently, we recover convergence or subsequential convergence of (u n) out of (C, 1) summability of (u n) under certain additional conditions that control oscillatory behavior of the sequence (u n).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2005
ISSN: 0893-9659
DOI: 10.1016/j.aml.2004.11.006