Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series [PDF]
In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − | C , α , β ; δ | k ...
Smita Sonker, Alka Munjal
doaj +3 more sources
A study on absolute summability factors
In this study we proved theorems dealing withsummability factors giving relations between absolute Cesàro and absolute weightedsummability methods. So we deduced some results in the special cases.
G. Canan Hazar Güleç
doaj +2 more sources
Best approximation by «angle» and the absolute Cesàro summability of double Fourier series
This article is devoted to the topic of absolute summation of series or Cesaro summation. The relevance of this article lies in the fact that a type of absolute summation with vector index which has not been previously studied is considered.
S. Bitimkhan, O. Mekesh
doaj +3 more sources
Summability factors between the absolute Cesàro methods
If Σε_{n}x_{n} is summable by the method Y whenever Σx_{n} is summable by the method X, then we say that the factor ε=(ε_{n}) is of type (X,Y) and denote by (X,Y).
G. Canan Hazar Güleç
doaj +2 more sources
Some absolutely effective product methods [PDF]
It is proved that the product method A(C,1), where (C,1) is the Cesàro arithmetic mean matrix, is totally effective under certain conditions concerning the matrix A.
H. P. Dikshit, J. A. Fridy
doaj +2 more sources
Partial best approximations and the absolute Cesaro summability of multiple Fourier series [PDF]
The article is devoted to the problem of absolute Cesaro summability of multiple trigonometric Fourier series. Taking a central place in the theory of Fourier series this problem was developed quite widely in the one-dimensional case and the ...
S. Bitimkhan, D.T. Alibieva
doaj +3 more sources
Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series [PDF]
An increasing quasi-f-power sequence of a wider class has been used to establish a universal theorem on a least set of conditions, which is sufficient for an infinite series to be generalized ph-|C, a, b; d; l| k summable.
Sonker Smita +2 more
doaj +1 more source
A Note on Generalized Indexed Norlund Summability Factor of an Infinite Series
In the present article, we have established a result on generalized indexed absolute Norlund summability factor by generalizing results of Mishra and Srivastava on indexed absolute Cesaro summabilty factors and Padhy et.al.
B. P. Padhy, P. Tripathy, B. B. Mishra
doaj +2 more sources
Characterizations of summability methods derived by q-Cesàro matrix
The present study mainly aims to introduce the absolute summability method derived from the transformation matrix obtained by the -Cesàro matrix and to establish the necessary and sufficient conditions for and where In addition, by ...
Fadime Gökçe
doaj +1 more source
On the absolute Cesàro summability factors
Not available.
Hüseyin Bor
doaj +2 more sources

