H"{o}lder summability method of fuzzy numbers and a Tauberian theorem

A Tauberian theorem for the weighted mean method of summability of sequences of fuzzy numbers

Let X and Y be two sequence spaces and A = (ank) be an infinite matrix. If for each x ∈ X the series An(x) = ∑∞ k=0 ankxk converges for each n and the sequence Ax = (Anx) ∈ Y we say that the matrix A maps X into Y . By (X,Y ) we denote the set of all matrices which map X into Y . Let c be the set of all convergent sequences. A matrix A is called regular if A ∈ (c, c) and limn→∞Anx = limk→∞ xk f...

Statistical summability(C, 1) for sequences of fuzzy real numbers and a Tauberian theorem

Statistical convergence for sequences of fuzzy real numbers has been studied by various authors. In this paper we study the concept of statistical summability (C, 1) for fuzzy real numbers which for real numbers was introduced by Moricz [18]. We also construct some interesting examples. AMS Mathematical Subject Classification: 40A30, 40E05, 94D05

A Tauberian Theorem for the Generalized Nörlund-euler Summability Method

Let (pn) and (qn) be any two non-negative real sequences with Rn := n ∑ k=0 pkqn−k 6= 0 (n ∈ N). And E1 n− Euler summability method. Let (xn) be a sequence of real or complex numbers and set N p,qE 1 n := 1 Rn n ∑

A Tauberian Theorem for (C, 1) Summability Method

In this paper, we retrieve slow oscillation of a real sequence u = (u n) out of (C, 1) summability of the generator sequence (V (0) n (Δu)) of (u n) under some additional condition. Consequently, we recover convergence or subsequential convergence of (u n) out of (C, 1) summability of (u n) under certain additional conditions that control oscillatory behavior of the sequence (u n).

A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers

In this paper,  we determine necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a double sequence of fuzzy numbers follows from its $(C,1,1)$ summability. These conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. We also construct some interesting double sequences of fuzzy numbers.

Tauberian Theorems by Weighted Summability Method