No abstract

We introduce the strongly (Vλ,A,p) ‐ summable sequences and give the relation between the spaces of strongly (Vλ,A,p) ‐ summable sequences and strongly (Vλ,A,p) ‐ summable sequences with respect to a modulus function when A = (α ik ) is an infinite matrix of complex numbers and ρ = (pi) is a sequence of positive real numbers. Also we give natural relationship between strongly (Vλ, A,p) ‐ convergence with respect to a modulus function and strongly Sλ (A) ‐ statistical convergence. Key words: De la Vallee‐Poussin mean, modulus function, statistical convergence.

Abstract. In this paper we investigate a characterization of a Banach lattice algebra with unit to be represented as an AM -f -algebra. We also consider, for a locally compact Hausdorff topological space L and a Banach lattice space A, the identification of C b (L, Z(A)) with the center Z(C 0 (L, A)) of C 0 (L, A).

The increasing need for integral transforms to solve the problems of applications in many scientific fields has led to the relentless pursuit of suggesting new integral transforms. An innovative generalization of the Complex Al-Tememe integral transformation is introduced and discussed thoroughly in this work, where the properties of the proposed transformation and its inverse are exposed by utilizing it in some fundamental functions and the efficiency of the generalized Complex Al-Teme integral transform is demonstrated by using it in solving Euler and multiplication ordinary differential equations with variable coefficients.