Browsing by Author "Nuray, F"
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Delta(m)-Statistical convergence
In this paper, we define a general sequence space Delta (m) (X) = {x = (x(k)) : (Delta (m) x(k)) is an element of X}, (m is an element of N), where X is any sequence space. We establish some inclusion relations, topological ... -
Generalized statistical convergence and convergence free spaces
Nuray, F; Ruckle, WH (ACADEMIC PRESS INC, 2000)Many results about statistical convergence in a general setting can be derived by consideration of the convergence free space of null sequences and its related cofilter and filter. We derive algebraic and order properties, ... -
Lacunary statistical convergence of sequences of fuzzy numbers
Nuray, F (ELSEVIER SCIENCE BV, 1998)The sequence X = {X-k} of fuzzy numbers is statistically convergent to the fuzzy number X-0 provided that for each epsilon > 0 lim 1/n{the number of k less than or equal to n:(d) over bar(X-k, X-0) greater than or equal ... -
Some new sequence spaces defined by Orlicz functions
In this paper, we introduce and examine three sequence spaces defined by Orlicz function M, which generalize well known strongly sigma-convergent sequence spaces.