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International Journal of Analysis
Volume 2014 (2014), Article ID 631301, 7 pages
Research Article

Some New Difference Sequence Spaces of Invariant Means Defined by Ideal and Modulus Function

1School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab 147004, India
2Department of Mathematics, Haryana College of Technology and Management, Kaithal, Haryana 136027, India

Received 15 February 2014; Accepted 9 May 2014; Published 28 May 2014

Academic Editor: Shamsul Qamar

Copyright © 2014 Sudhir Kumar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The main objective of this paper is to introduce a new kind of sequence spaces by combining the concepts of modulus function, invariant means, difference sequences, and ideal convergence. We also examine some topological properties of the resulting sequence spaces. Further, we introduce a new concept of -convergence and obtain a condition under which this convergence coincides with above-mentioned sequence spaces.