On Walsh's equiconvergence theorem and the application of summability methods

1994 ◽  
Vol 62 (4) ◽  
pp. 321-330
Author(s):  
Rainer Br�ck
Keyword(s):  
Summability Methods ◽  
Equiconvergence Theorem

scholarly journals On Dirichlet convolution method

1998 ◽  
Vol 21 (3) ◽  
pp. 607-611
Author(s):  
Indulata Sukla
Keyword(s):  
Summability Methods ◽  
Dirichlet Convolution ◽  
Convolution Method

In this paper we have proved limitation theorem for(D,h(n))summability methods and have shown that it is best possible.

Summability methods and negatively associated random variables

2004 ◽  
Vol 41 (A) ◽  
pp. 231-238
Author(s):  
N. H. Bingham ◽  
H. R. Nili Sani
Keyword(s):  
Random Variables ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Summability Methods ◽  
Negatively Associated Random Variables ◽  
Convergence Of Sequences

The paper studies convergence of sequences of negatively associated random variables under various summability methods. The results extend previously known results for independence and complement known results forϕ-mixing.

scholarly journals Some remarks on statistical summability of order $\tilde{\alpha}$ defined by generalized De la Vall\'{e}e-Pousin Mean

2014 ◽  
Vol 33 (1) ◽  
pp. 145
Author(s):  
Chawla Meenakshi ◽  
Vijay Kumar ◽  
M. S. Saroa
Keyword(s):  
Double Sequences ◽  
Summability Methods

In this work we define $(\lambda, \mu)-$statistical summability and $(V, \lambda, \mu)-$\\summability of order $\tilde{\alpha}$ for double sequences and obtain some relations between these summability methods. We demonstrate examples which shows our method of summability is more general for double sequences.

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