Results 1 to 10 of about 372 (127)

Absolute [Formula: see text] summability of infinite series. [PDF]

open access: yesJ Inequal Appl, 2017
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 ...
Sonker S, Munjal A.
europepmc   +2 more sources

A NEW STUDY ON ABSOLUTE CESÀRO SUMMABILITY FACTORS [PDF]

open access: diamond, 2021
In this paper, we have generalized a known theorem dealing with $\varphi-{\mid{C},\alpha,\mid}_k$ summability factors of infinite series to the $\varphi-{\mid{C},\alpha,\beta\mid}_k$ summability method under weaker conditions.
Bor, Huseyin
core   +2 more sources

Some absolutely effective product methods [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
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   +3 more sources

Best approximation by «angle» and the absolute Cesàro summability of double Fourier series

open access: diamondҚарағанды университетінің хабаршысы. Математика сериясы, 2023
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

On the absolute Cesàro summability factors

open access: greenJournal of Numerical Analysis and Approximation Theory, 1991
Not available.
Hüseyin Bor
doaj   +3 more sources

A New Result on Generalized Absolute Cesàro Summability

open access: greenInternational Journal of Analysis and Applications, 2016
In [4], a main theorem dealing with an application of almost increasing sequences, has been proved. In this paper, we have extended that theorem by using a general class of quasi power increasing sequences, which is a wider class of sequences, instead of
Hüseyin Bor, Ram N. Mohapatra
doaj   +3 more sources

Summability factors between the absolute Cesàro methods

open access: diamondSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
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

On Absolute q-Cesàro Summability Methods for Double Sequences

open access: goldMathematics
In the present paper, a novel absolute summability method, denoted by |Cq,θ|s, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion relations, as ...
Fadime Gökçe
doaj   +2 more sources

Some further extensions of absolute Cesàro summability for double series [PDF]

open access: gold, 2013
In a recent paper [SavaAY and Rhoades in Appl. Math. Lett. 22:1462-1466, 2009], the authors extended the result of Flett [Proc. Lond. Math. Soc. 7:113-141, 1957] to double summability.
Ekrem Savaş, Hamdullah Şevli
core   +3 more sources

A note on generalized absolute Cesàro summability [PDF]

open access: green, 2010
In this paper, a known theorem dealing with ${mid{C},1mid}_k$ summability methods has been generalized under weaker conditions for ${mid{C},alpha,beta ;deltamid}_k$ summability methods.
Hüseyin Bor
core   +3 more sources

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