In this paper, we prove a fuzzy Korovkin-type approximation theorem for fuzzy positive linear operators by using A-statistical convergence for four-dimensional summability matrices. Also we obtain rates of A-statistical convergence of a double sequence of fuzzy positive linear operators for fourdimensional summability matrices. 1. Introduction Anastassiou [3] …rst introduced the fuzzy analogue ...

We will examine double sequence to double sequence transformation of independent identically distribution random variables with respect to four-dimensional summability matrix methods. The main goal of this paper is the presentation of the following theorem. If maxk,l|am,n,k,l| maxk,l|am,kan,l| O m−γ1 O n−γ2 , γ1, γ2 > 0, then E|X̆|1 1/γ1 < ∞ and E| ̆̆ X|1 1/γ2 < ∞ imply that Ym,n → μ almost sure P...

Fridy and Miller have given a characterization of statistical convergence for bounded single sequence, by matrix summability methods. The analogues of the some of the results for double sequences were proved by H.I. Miller and Leila Miller-Van Wieren. In this paper we define the statistical convergence of double sequences in a non-trivially valued non-archimedean field K and prove a theorem on ...

ABanach space B is said to satisfy the Banach-Saks property with respect a regular summability method if every bounded subsequence has summable subsequence. We show that Banach satisfies Robison-Hamilton method, for double sequence there exists ?-subsequence whose subsequences are all same limit.

H. K. Nigam and Kusum Sharma Department of Mathematics, Faculty of Engineering and Technology, Mody Institute of Technology and Science, Deemed University, Laxmangarh 332311, Sikar, Rajasthan, India Correspondence should be addressed to Kusum Sharma, [email protected] Received 20 January 2012; Accepted 1 March 2012 Academic Editor: Ram U. Verma Copyright q 2012 H. K. Nigam and K. Sha...