共查询到20条相似文献,搜索用时 0 毫秒
1.
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
2.
In this paper we have proved a theorem for infinite triangular matrix using new techniques. 相似文献
3.
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
4.
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
5.
Hüseyin Bor 《Proceedings Mathematical Sciences》1988,98(1):53-57
In this paper a theorem of Chen [1] on
summability factors of infinite series has been proved under weaker conditions. 相似文献
6.
7.
8.
《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
9.
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
10.
Antonio Aizpuru Francisco J. Garcí a-Pacheco Consuelo Pé rez-Eslava 《Proceedings of the American Mathematical Society》2007,135(11):3571-3579
Some classical results about uniform convergence of unconditionally convergent series are generalized to weakly unconditionally Cauchy series by means of the matrix summability method for regular matrices.
11.
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
12.
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
13.
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
14.
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
15.
16.
17.
Sang-Eon Han 《Acta Appl Math》2008,104(2):177-190
In order to study digital topological properties of a k-surface in Z
n
, we generalize the topological number in Bertrand (Pattern Recogn. Lett. 15:1003–1011, 1994). Furthermore, we show that a local (k
0,k
1)-isomorphism preserves some digital-topological properties, such as a generalized topological number and a simple k
0-point, and prove that a local (k
0,k
1)-isomorphism takes a simple k
0-surface in
into a simple k
1-surface in
.
相似文献
18.
There is introduced a modificated local modulus of continuity as a measure of pointwise strong summability of expansion with
respect to polynomial-like orthonormal system. The approximation versions and generalizations of the some special cases of
the known results of K. Tandori [6], [7] and G. Freud [4] are obtained. 相似文献
19.
We prove the following theorem. Assume f ∈ L
∞(R
2) with bounded support. If f is continuous at some point (x
1,x
2) ∈ R
2, then the double Fourier integral of f is strongly q-Cesàro summable at (x
1,x
2) to the function value f(x
1,x
2) for every 0 < q < ∞. Furthermore, if f is continuous on some open subset
of R
2, then the strong q-Cesàro summability of the double Fourier integral of f is locally uniform on
.
Research partially supported by the Australian Research Council and the Hungarian National Foundation for Scientific Research
under Grant T 046 192. 相似文献
20.
Ourania Chryssaphinou Eutichia Vaggelatou 《Annals of the Institute of Statistical Mathematics》2002,54(2):411-424
We consider a sequence X
1, ..., X
n of r.v.'s generated by a stationary Markov chain with state space A = {0, 1, ..., r}, r 1. We study the overlapping appearances of runs of k
i consecutive i's, for all i = 1, ..., r, in the sequence X
1,..., X
n. We prove that the number of overlapping appearances of the above multiple runs can be approximated by a Compound Poisson r.v. with compounding distribution a mixture of geometric distributions. As an application of the previous result, we introduce a specific Multiple-failure mode reliability system with Markov dependent components, and provide lower and upper bounds for the reliability of the system. 相似文献