共查询到20条相似文献,搜索用时 15 毫秒
1.
Hüseyin Bor 《Proceedings Mathematical Sciences》1994,104(2):367-372
In this paper using δ-quasi-monotone sequences a theorem on
summability factors of infinite series, which generalizes a theorem of Bor [4] on
summability factors of infinite series, is proved. Also, in the special case this theorem includes a result of Mazhar [8]
on |C, 1|k summability factors. 相似文献
2.
Hüseyin Bor 《Proceedings Mathematical Sciences》1991,101(2):143-146
In this paper a theorem on \(\left| {\bar N,p_n } \right|_k \) summability factors of infinite series, which generalizes a theorem of Bor [2], has been proved. 相似文献
3.
W.T. Sulaiman 《Journal of Mathematical Analysis and Applications》2006,322(2):1224-1230
Extension and improvement has been made on a recent result proved by Mazhar [S.M. Mazhar, Absolute summability factors of infinite series, Kyungpook Math. J. 39 (1999) 67-73] concerning absolute summability factors of infinite series. 相似文献
4.
W. T. Sulaiman 《Proceedings Mathematical Sciences》2002,112(4):543-550
A general theorem is given which gives the necessary and sufficient conditions satisfied by a sequence (εn) in order to have the series Σa
n
ε
n
summable to |A| whenever Σa
n
is summable to |A| for some summability methodA. 相似文献
5.
Summary The paper deals with absolute summability factors for infinite series. The main result obtained in this paper generalizes
a recent paper of Mazhar. 相似文献
6.
A lower triangular matrix with nonzero principal diagonal entries is called a triangle. In this paper we obtain the sufficient conditions for ∑anλn to be summable ∣A∣k whenever ∑an is summable ∣T∣k for a triangle T. 相似文献
7.
《Mathematical Methods in the Applied Sciences》2018,41(2):664-670
Bor has recently obtained a main theorem dealing with absolute weighted mean summability of Fourier series. In this paper, we generalized that theorem for summability method. Also, some new and known results are obtained dealing with some basic summability methods. 相似文献
8.
Hüseyin Bor 《Proceedings Mathematical Sciences》1992,102(1):53-58
In this paper two theorems on | N,pn;δ|k summability factors, which generalize the results of Bor [4] on | N,pn|k summability factors, have been proved. 相似文献
9.
10.
In an attempt to study the scope of a theorem due to Pati, the authors have established that φ(t) logK|t∈B
u
V in (0,π)⟹ΣA
n
(x) is |C, 0,β| forβ>1, at the pointt = x. 相似文献
11.
In this paper we have proved a theorem for infinite triangular matrix using new techniques. 相似文献
12.
张立柱 《纯粹数学与应用数学》2013,(6):565-571
讨论级数常规可和、Cesaro可和与Abel可和的关系.利用数学分析级数理论,证明Abel可和适用范围最广,Cesaro可和其次,级数常规可和适用范围最小.这个结论丰富了经典级数理论,为实际应用中选用合适可和提供依据. 相似文献
13.
In this paper a necessary and sufficient condition has been obtained for Σan∈n to be summable |N, q| whenever Σan is bounded (N, p, q). 相似文献
14.
H. S. Özarslan 《Proceedings Mathematical Sciences》2003,113(2):165-169
In this paper, by using an almost increasing and δ-quasi-monotone sequence, a general theorem on φ- | C, α |
k summability factors, which generalizes a result of Bor [3] on φ |C, 1|
k summability factors, has been proved under weaker and more general conditions. 相似文献
15.
Application of Almost Increasing Sequence for Absolute Riesz $|overline{N}, p_n^{alpha, beta}; delta|_k$ Summable Factor 下载免费PDF全文
Smita Sonker Rozy Jindal Lakshmi Narayan Mishra 《Journal of Nonlinear Modeling and Analysis》2021,3(3):377-384
In this paper, we generate an extended result by Bor and Seyhan concerning absolute Riesz summability factors. Further, we develop some well-known results from our main result. 相似文献
16.
Prem Chandra 《Proceedings Mathematical Sciences》2001,111(2):203-219
In this paper, the author has investigated necessary and sufficient conditions for the absolute Euler summability of the Fourier series with miltipliers. These conditions are weaker than those obtained earlier by some workers. It is further shown that the multipliers are best possible in certain sense. 相似文献
17.
Mehmet Ali Sar?göl 《Applied mathematics and computation》2010,216(11):3386-3390
Quite recently, Bor [H. Bor, On the local properties of factored of Fourier series, Bull. Math. Anal. Appl. 1 (2009) 15-21] proved a theorem on the local property of summability of factored Fourier series. The purpose of this paper is to extend to more general cases by taking normal matrices in place of weighted mean matrices. 相似文献
18.
Summary We obtain sufficient conditions for the series <InlineEquation ID=IE"1"><EquationSource Format="TEX"><![CDATA[<InlineEquation
ID=IE"2"><EquationSource Format="TEX"><![CDATA[<InlineEquation ID=IE"3"><EquationSource Format="TEX"><![CDATA[$]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>\sum
a_{n}\lambda_{n}$ to be absolutely summable of order $k$ by a<span lang=FR style='font-size:10.0pt; mso-ansi-language:FR'>triangular
matrix. 相似文献
19.
The object of the paper is to study the absolute matrix summability problem of Fourier series, conjugate series and some associated
series under a new set of conditions on matrix methods, generalising many known results in the literature. 相似文献
20.
Shri Nivas Bhatt 《Rendiconti del Circolo Matematico di Palermo》1962,11(2):237-244
The author has established that if [λn] is a convex sequence such that the series Σn -1λn is convergent and the sequence {K n} satisfies the condition |K n|=O[log(n+1)]k(C, 1),k?0, whereK n denotes the (R, logn, 1) mean of the sequence {n log (n+1)a n}, then the series Σlog(n+1)1-kλn a n is summable |R, logn, 1|. The result obtained for the particular casek=0 generalises a previous result of the author [1]. 相似文献