Bicomplex Landau and Ikehara Theorems for the Dirichlet Series
The aim of this paper is to generalize the Landau-type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem.
Ritu Agarwal +4 more
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A note on the finitization of Abelian and Tauberian theorems [PDF]
We present finitary formulations of two well known results concerning infinite series, namely Abel's theorem, which establishes that if a series converges to some limit then its Abel sum converges to the same limit, and Tauber's theorem, which presents a
Thomas Powell
semanticscholar +2 more sources
Tauberian theorems for statistical convergence
The Tauberian theorems for statistical limitable method are proved by both Fridy and Khan \cite{3} and M\'oricz \cite{28}. Here we generalize these theorems to (C; i) statistical limitable method.
Erdal Gül, Mehmet Albayrak
semanticscholar +5 more sources
The Tauberian theorems for the slowly variating with residual functions and their applications. Тауберовы функции с медленно меняющимися с остатком функциями и приложения [PDF]
В статье доказываются две тауберовых теоремы для преобразования Лапласа медленно меняющихся с остатком функций и рассматриваются их приложения к суммам значений неотрицательных мультипликативных функций, связанных с проблемой Вирзинга, поставленной им в ...
Shirokov B. M.
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Sparse graphs using exchangeable random measures. [PDF]
Summary Statistical network modelling has focused on representing the graph as a discrete structure, namely the adjacency matrix. When assuming exchangeability of this array—which can aid in modelling, computations and theoretical analysis—the Aldous–Hoover theorem informs us that the graph is necessarily either dense or empty.
Caron F, Fox EB.
europepmc +2 more sources
Tauberian theorems for statistical Cesàro and statistical logarithmic summability of sequences in intuitionistic fuzzy normed spaces [PDF]
We define statistical Cesàro and statistical logarithmic summability methods of sequences in intuitionistic fuzzy normed spaces(IFNS) and give slowly oscillating type and Hardy type Tauberian conditions under which statistical Cesàro summability and ...
E. Yavuz
semanticscholar +1 more source
NECESSARY AND SUFFICIENT TAUBERIANCONDITIONS UNDER WHICH CONVERGENCEFOLLOWS FROM SUMMABILITY Ar,p
In this paper, we introduce the summability method Ar,p and obtain necessary and sufficient Tauberian conditions under which the ordinary convergence of a sequence follows from itssummability Ar,p.
C. Kambak, I. Canak
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Some remarks on Cesaro summability in neutrosophic normed spaces [PDF]
In this paper, we define the notion of a generalized summability, called Ces`aro summability in neutrosophic normed spaces (briefly NNS). We obtain conditions under which ordinary summability follows from Cesaro summability. Later, we define a concept of
Vijay Kumar +2 more
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Tauberian theorems for Cesàro summability in neutrosophic normed spaces
In this paper, we introduce the concepts of Ces?ro summability and Tauberian theorem in neutrosophic normed spaces. We study that Ces?ro summability in neutrosophic norm space does not imply ordinary convergence, and we give an example in support of ...
V. Khan, Mohd Faisal
semanticscholar +1 more source
In this paper, we prove two new Tauberian theorems via statistical Cesàro summability mean of a continuous function of three variables by using oscillating behavior and De la Vallée Poussin means of a triple integral over a locally convex space. Moreover,
Carlos Granados, A. Das
semanticscholar +1 more source

