IJPAM: Volume 100, No. 2 (2015)

ON GENERALIZATIONS OF
WEAK STATISTICAL CONVERGENCE VIA IDEALS

Meenakshi Chawla$^1$, M.S. Saroa$^2$, Vijay Kumar$^3$
$^{1,2}$Department of Mathematics
Maharishi Markandeshwar University
Mullana Ambala, Haryana, INDIA
$^3$ Department of Mathematics
Haryana College of Technology and Management
Kaithal, Haryana, INDIA


Abstract. In this paper, we have introduced new generalizations of weak statistical convergence and weak $\lambda-$statistical convergence which we call weak $\cal{I}-$statistical and weak $\cal{I}-$$\lambda-$statistical convergence using ideals. We obtained some relations between these convergence methods and demonstrate examples to show that our methods of convergence are more general.

Received: November 14, 2014

AMS Subject Classification: 40A05, 40A35, 46B10, 46B99

Key Words and Phrases: statistical convergence, $\lambda-$statistical convergence, ideal convergence and weak convergence

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DOI: 10.12732/ijpam.v100i2.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 2
Pages: 279 - 297


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