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...

We improve and generalize a result on a local property of |T |k summability of factored Fourier series due to Sarıgöl [6].

In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.

In this paper, we prove a known theorem dealing with φ− | C, α, β |k summability factors under more weaker conditions. This theorem also includes several new results.

Abstract The main object of this article is to introduce the concepts ( f, ρ )− statistical convergence order α and strong summability sequences real numbers give some inclusion relations between these spaces.

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.