Let χ denote the space of all double gai sequences. Let Λ denote the space of all double analytic sequences. This paper is to introduce a new class of sequence spaces namely the semi difference Orlicz space of Λ. It is shown that the intersection of all semi difference Orlicz space of Λ is I ⊂ η and Λ ⊂ I.

Abstract This paper studies topological duals of locally convex function spaces that are natural generalizations Fréchet and Banach spaces. The dual is identified with the direct sum another space, a space purely finitely additive measures annihilator $$L^\infty $$ L ? ...

Abstract Let m ∈ N m\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in Orlicz-Sobolev spaces W , φ ( mathvari...

This paper is concerned with the problem of nonlinear best simultaneous approximations in K?the Bochner function spaces respect to Minkowski? norms Euclidean spaces. Characterization results generalized approximation are established. These considered a generalization concerning Lebesgue and Orlicz

Using the concept of Orlicz function and uncertainty theory, some new class lacunary convergent sequences defined by functions have been introduced with convergence concepts in this paper. Some topological properties sequence spaces along inclusion relations investigated.

The asymptotic behavior of the sequence {vn} nonnegative solutions for a class inhomogeneous problems settled in Orlicz–Sobolev spaces with prescribed Dirichlet data on boundary domain Ω is analysed. We show that converges uniformly as n → ∞, to distance function domain.