In this paper we prove that if Λ ∈ M p (R N) and has compact support then Λ is a weak summability kernel for 1 < p <

The paper introduces a new concept of strong summability and statistical convergence of sequence of fuzzy numbers. Further, these two concepts are studied and established relations between them.

In this paper we shall discuss the relation of the convergence or (C, 1) summability of a sequence to that of its subsequences. Some analogous questions for subseries have been considered [ö]. Let {sn} be an arbitrary sequence. We can obtain a 1-1 map of its infinite subsequences on the interval 0 < / ^ l as follows. Let /= .a ia 2 a 3 • • • be the infinite dyadic expansion of a point / of the ...

Let A = (ank)∞n,k=1 be an infinite matrix and x = (xk) ∞ k=1 a sequence of real or complex numbers. Then the A-transform of x is a sequence Ax = (An(x))where An(x) = ∑ ∞ k=1 ankxk provided that the series converges for each n; and the sequence x is said to be A-summable if Ax is convergent. In this paper we define statistical A-summability of x, that is, x is said to be statistically A-summable...

In the present innovative pursuit, the generalized Nörlund summability method, that is, the (N, c, d) summation process of Fourier series of f (x) as well defined by Borwein [4] has been invoked to approximate the function f (x) belonging to Lip M α (0 < α < 1 ) and M being some constant. Here it is worth-emphasising that not only mere approximation, but also the constants appeared in the proce...

After a brief summary of Tauberian conditions for ordinary sequences of numbers, we consider summability of double sequences of real or complex numbers by weighted meanmethods which are not necessarily products of related weighted mean methods in one variable. Our goal is to obtain Tauberian conditions under which convergence of a double sequence follows from its summability, where convergence ...

This talk is mainly concerned with two generalizations of convergence of sequences called I-convergence and I∗-convergence. We will mention some other generalizations of limit which are related to I-convergence, e.g Banach limit and statistical convergence. 1 Generalizations of limit The notion of limit is one of the central notions in mathematical analysis. No wonder it was generalized by math...

We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators. This result gives celebrated factorization Pisier operators acting in C(K)-spaces. As far as we know, none known versions uses separation argument presented here, which is essentially same that proves Pietsch Domination Theorem p-summing Based on this proof, propose an equivalent formulation main sum...