On an infinite series for(1+1/x)xand its application

ON AN INFINITE SERIES FOR (1+1/x)x AND ITS APPLICATION

An application of Fibonacci numbers into infinite Toeplitz matrices

The main purpose of this paper is to define a new regular matrix by using Fibonacci numbers and to investigate its matrix domain in the classical sequence spaces $ell _{p},ell _{infty },c$ and $c_{0}$, where $1leq p

Some Remarks on Infinite Series

In the present paper we investigate the following problems. Suppose an >O for n_-I and Z a,=-. n=1 N° 1. Does there exist a sequence of natural numbers No =O, Ni l-, such that it decomposes the series monotone decreasingly : In order to state the second problem we define the index nk (c) as the minimum m such that (2) Now the second problem is as follows. are equiconvergent. m kc a j. j=1 N° 2....

On Faster Convergent Infinite Series

Recommended by Laszlo Toth Suffcient conditions, necessary conditions for faster convergent infinite series, faster τ-convergent infinite series are studied. The faster convergence of infinite series of Kummer's type is proved. Copyright q 2008 Dušan Hoí y et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distributi...

Note on Product Summability of an Infinite Series

W. T. Sulaiman Department of Mathematic, College of Computer Science and Mathematics, Mosul University, Mosul, Iraq Correspondence should be addressed to W. T. Sulaiman, [email protected] Received 14 October 2007; Accepted 21 April 2008 Recommended by Huseyin Bor New results concerning product summability of an infinite series are given. Some special cases are also deduced. Copyright q 2...