Results 21 to 30 of about 7,391,570 (281)
On almost increasing sequences and its applications
International Journal of Mathematics and Mathematical Sciences, 2001 We prove a general theorem on |N¯,pn;δ|k summability factors, which generalizes a theorem of Bor (1994) on |N¯,pn|k summability factors, under weaker conditions by using an almost increasing sequence.
Hikmet S. Özarslan
doaj +1 more source
Characterization of generalized absolute Cesaro summability factors
, 2021 Recently Sarigol (in: Kuwait J Sci 42(3):28-35, 2015) has investigated the summability factors of type e 2 jC; ajk; jN; pnj, for a[ 1, k[ 1 and arbitrary positive sequence opnTHORN, which extends some well known results.
Gulec, G. Canan Hazar
core +1 more source
An application of almost increasing sequences
International Journal of Mathematics and Mathematical Sciences, 2000 We extended a theorem of Mishra and Srivastava (1983–1984) on |C,1|k summability factors, using almost increasing sequences, to |N¯,pn|k summability under weaker conditions.
Hüseyin Bor
doaj +1 more source
Summability Factors for Cesaro Methods [PDF]
Proceedings of the American Mathematical Society, 1979 It is shown that if each of r and s is a nonnegative integer and {
openaire +1 more source
On generalized absolute Cesàro summability factors [PDF]
, 2012 In this paper, a known theorem dealing with vertical bar C, alpha, gamma; delta vertical bar(k) summability factors has been generalized for vertical bar C, alpha, beta, gamma; delta vertical bar(k) summability factors.
Tuncer, Adive Nihal, A Tuncer
core +1 more source
On the Introduction of Convergence Factors into Summable Series and Summable Integrals [PDF]
Transactions of the American Mathematical Society, 1907 The object of this paper is to develop certain general theorems about convergence factors. In the case of series we shall mean by convergence factors a set of functions of a parameter which, when introduced as factors of the successive terms of the series, cause a divergent series to converge, or a series which is already convergent to converge more ...
openaire +1 more source
Local properties of Fourier series
International Journal of Mathematics and Mathematical Sciences, 2000 A theorem on local property of |N¯,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N¯,pn|k summability factors of Fourier series have been proved.
Hüseyin Bor
doaj +1 more source
Factors for generalized absolute Cesàro summability [PDF]
, 2008 In this paper, a result of Bor [2] dealing with ${\mid{C,\alpha;\beta}\mid}_k$ summability factors has been generalized for ${\mid{C},\alpha, \gamma;\beta\mid}_k$ summability ...
Bor, Hüseyin, Hüseyin Bor
core +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
Some remarks on summability factors [PDF]
Proceedings of the American Mathematical Society, 1976 Bosanquet [2] showed that a necessary and sufficient condition for Σ
openaire +1 more source