Approximation theory in 2-Banach spaces

I-statistically pre-Cauchy double sequences

“…It should be also mentioned that the notion of statistical convergence has been considered, in other contexts [8,11,14,18,22]. Statistical convergence has several applications in different fields of mathematics: summability theory [4,23], trigonometric series [28], measure theory [17], and approximation theory [14].…”

“…It should be also mentioned that the notion of statistical convergence has been considered, in other contexts [8,11,14,18,22]. Statistical convergence has several applications in different fields of mathematics: summability theory [4,23], trigonometric series [28], measure theory [17], and approximation theory [14]. Particularly, in [2], Connor et al introduced the concept of statistically pre-Cauchy sequences and proved that statistically convergent sequences are always statistically pre-Cauchy and on the other hand under certain general conditions statistical pre-Cauchy condition implies statistical convergence of a sequence.…”

On Lacunary Ideal Convergence in Random -Normed Space

“…In [14], Gähler introduced an attractive theory of 2normed and -normed spaces in the 1960s. Since then, many researchers have studied these subjects and obtained various results [15][16][17][18][19].…”

On the stability of a cubic functional equation in random 2-normed spaces

“…that is associative, commutative nondecreasing and which has ε 0 as unit, that is, for all f, g, h Δ + , we have: The concept of 2-normed space was first introduced in [17] and further studied in [23][24][25].…”