Results 21 to 30 of about 283 (242)
A note on absolute summability factors
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper, a generalization of a theorem of Mishra and Srivastava [4] on |C,1|k summability factors has been proved.
Hüseyın Bor
doaj +1 more source
On the Absolute Summability Factors and Absolute Summability Methods
Rocky Mountain Journal of Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
The Absolute Summability of Fourier Series [PDF]
The Mathematical Gazette, 1933 The problem under discussion is the relation between the behaviour of a function ɸ ( t ) near a particular point t = x and the behaviour of the partial sums
openaire +1 more source
A new factor theorem for generalized absolute Riesz summability
Karpatsʹkì Matematičnì Publìkacìï, 2019 The aim of this paper is to consider an absolute summability method and generalize a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$ summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using ...
A. Karakaş
doaj +1 more source
A Note on Generalized Indexed Norlund Summability Factor of an Infinite Series
International Journal of Analysis and Applications, 2019 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
On the Absolute Summability (A) of Infinite Series [PDF]
Proceedings of the Edinburgh Mathematical Society, 1932 §1. A serieshas been defined by J. M. Whittaker to be absolutely summable (A), ifis convergent in (0 ≤ x < 1) and f (x) is of bounded variation in (0, 1), i.e.for all subdivisions 0 = x0 < x1 < x2 < . … < xm < 1.
openaire +2 more sources
On Absolute Summability Factors
Rocky Mountain Journal of Mathematics, 2003 \textit{T. M. Flett} [Proc.~Lond. Math.~Soc., III. Ser. 7, 113--141 (1957; Zbl 0109.04402)] has defined absolute summability of order \(k\) in the following manner:\ Let \(\{s_n\}\) be the sequence of partial sums of the infinite series \(\sum a_n\), and let \(\sigma_n^\alpha\) denote the \(n\)th Cesàro mean, of order \(\alpha>-1\), of \(\{s_n ...
openaire +4 more sources
Absolute almost weighted summability methods
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 In thepresent paper we introduce absolute almost weighted convergent series and treatwith the classical results of Bor [3-4] and also study some its relations tothe well known spaces.
Mehmet Ali Sarıgöl
doaj +1 more source
On Absolute Weighted Mean Summability
Rocky Mountain Journal of Mathematics, 1993 Using functional analytic techniques, the authors obtain the necessary and sufficient conditions in order that the series \(\sum a_ n\) should be summable \(| R, q_ n |_ k\), \(k \geq 1\), whenever it is summable \(| R, p_ n |\). The results contained in this paper extend the known results of \textit{L. S. Bosanquet} [published in the review in M.
Orhan, C., Sarigöl, M.A.
openaire +2 more sources
Some absolutely effective product methods
International 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 +1 more source