GitHub

cauchy-sequence.md

Intuitively: the numbers of the sequence get closer and closer together. Cauchy sequences talk about convergence, without saying what the sequence converges to. Answer: we don't. Just say that every ...
GitHub

swanickt/Cauchy-Sequence-Construction-of-R

The following paper delivers a step-by-step outline of the Cauchy sequence construction of the real numbers. While it presents all notions involved in a mathematically rigorous manner, its main goal ...
Scientific Research Publishing

I-Pre-Cauchy Double Sequences and Orlicz Functions ()

Department of Applied Mathematics, Zakir Hussain College of Engineering and Technology, Aligarh Muslim University, Aligarh, India. Department of Mathematics, Aligarh Muslim University, Aligarh, India.
Scientific Research Publishing

V. A. Khan and Q. M. D. Lohani, “Statistically Pre-Cauchy Sequence and Orlicz Functions,” Southeast Asian Bulletin of Mathematics, Vol. 31, No. 6, 2007, pp. 1107- 1112.

ABSTRACT: The concept of statistical convergence was introduced by Stinhauss [1] in 1951. In this paper, we study con- vergence of double sequence spaces in 2-normed spaces and obtained a criteria for ...