A note on Tauberian Theorems for regularly generated sequences
نویسندگان
چکیده
منابع مشابه
TAUBERIAN THEOREMS FOR THE EULER-NORLUND MEAN-CONVERGENT SEQUENCES OF FUZZY NUMBERS
Fuzzy set theory has entered into a large variety of disciplines of sciences,technology and humanities having established itself as an extremely versatileinterdisciplinary research area. Accordingly different notions of fuzzystructure have been developed such as fuzzy normed linear space, fuzzytopological vector space, fuzzy sequence space etc. While reviewing theliterature in fuzzy sequence sp...
متن کاملSome Tauberian Theorems for Weighted Means of Bounded Double Sequences
In this paper we define double weighted generator sequence and prove some Tauberian theorems under which the convergence of bounded double sequences follows from its summability by weighted means. Mathematics Subject Classification 2010: 40C05, 40E05.
متن کاملTauberian theorems for sum sets
Introduction. The sums formed from the set of non-negative powers of 2 are just the non-negative integers. It is easy to obtain “abelian” results to the effect that if a set is distributed like the powers of 2, then the sum set will be distributed like Dhe non-negative integers. We will be concerned here with converse, or “Tauberian” results. The main theme of this paper is t’he following quest...
متن کاملTauberian Theorems for Summability Transforms
we then write sn → s(A), where A is the A method of summability. Appropriate choices of A= [an,k] for n,k ≥ 0 give the classical methods [2]. In this paper, we present various summability analogs of the strong law of large numbers (SLLN) and their rates of convergence in an unified setting, beyond the class of random-walk methods. A convolution summability method introduced in the next section ...
متن کاملA Banach Algebra Criterion for Tauberian Theorems
We acknowledge valuable discussions with Dr. J. Lindenstrauss of Yale University. An infinite matrix A is called conservative if for each convergent sequence x the transformed sequence Ax is convergent. It is a classical theorem that a necessary and sufficient condition that a matrix A be conservative is that: (1) \\A\\ =supi Ey" i \aa\ < °°> (2) lim,-,«, EyTM iaa exists, (3) lim,-,M an exists ...
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: Tamkang Journal of Mathematics
سال: 2008
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.39.2008.29