We consider the space of analytic functions in the closed domain, where convergence is a uniform convergence in closed domain that contains the original domain strictly inside itself and prove the theorems on the approximation and statistical approximation of functions in this space by the sequences of linear operators.

The concept of strong almost convergence was introduced by Maddox in 1978 [Math. Proc. Camb. Philos. Soc., 83 (1978), 61-64] which has various applications. In this paper we introduce some new sequence spaces which arise from the notions of strong almost convergence and an Orlicz function in a seminormed space. A new concept of uniform statistical convergence in a seminormed space has also been...

We denote N, R, C the sets of natural, real and complex numbers respectively. Let (λn), n ∈ N be an unbounded sequence numbers. Costakis has proved following result. There exists entire function f with property: for every x, y R 0 , θ ∈(0,1) a there is subsequence natural (mn), such that, compact subset L ⊆ In present paper we show that constant cannot replaced by any non-constant G. This so ev...

for any lacunary sequence $theta = (k_{r})$, we define the concepts of $s_{theta}-$limit point and $s_{theta}-$cluster point of a sequence of fuzzy numbers $x = (x_{k})$. we introduce the new sets  $lambda^{f}_{s_{theta}}(x)$, $gamma^{f}_{s_{theta}}(x)$ and prove some inclusion relaions between these and the sets $lambda^{f}_{s}(x)$, $gamma^{f}_{s}(x)$ introduced in ~cite{ayt:slpsfn} by aytar [...