IJPAM: Volume 70, No. 5 (2011)
SEQUENCE OF FUNCTIONALS
Department of Mathematics
Chhachhrauli (Yamunanagar), 135 103, INDIA
Abstract. The main object of this paper is to introduce the concept of weak statistical convergence of sequence of functionals in a normed space. It is shown that in a reflexive space, weak statistically convergent sequences of functionals are the same as weakly statistically convergent sequences of functionals.
Received: November 4, 2010
AMS Subject Classification: 40A05, 40H05, 46B99
Key Words and Phrases: statistical convergence, weak statistical convergence, weak statistical convergence, functionals
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395