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.

In this paper we obtain appropriate necessary and sufficient conditions for |N, pn|k summability to imply that of |N,qn|s for 1< k≤ s<∞. As in [6] we make use of a result of Bennett [1], who has obtained necessary and sufficient conditions for a factorable matrix to map lk → ls. A factorable matrix A is one in which each entry ank = bnck. Weighted mean matrices are factorable. It will not be po...