Lavrentiev gap for some classes of generalized Orlicz functions

Some Classes of Positive Definite Colombeau Generalized Functions

Positivity and positive definiteness in algebra of generalized functions are studied. Basic definitions and notions of Colombeau algebra of generalized functions are given and some special classes of positive definite generalized functions on those algebras are introduced. Their relation to distributions is also investigated. AMS Mathematics Subject Classification (2000):

Some Classes of Almost Convergent Paranormed Sequence Spaces Defined by Orlicz Functions

On Interval Valued Generalized Difference Classes Defined by Orlicz Function

The work of interval arithmetic was originally introduced by Dwyer [3] in 1951. The development of interval arithmetic as a formal system and evidence of its value as a computational device was provided by Moore [15] and Moore and Yang [16]. Furthermore, Moore and others [3]; [4]; [10] and [17] have developed applications to differential equations. Chiao in [2] introduced sequence of interval n...

Some generalized difference sequence spaces of invariant means defined by Orlicz functions

Let l∞ and c denote the Banach spaces of bounded and convergent sequences x = (xk), with xk ∈R or C, normed by ‖x‖ = supk |xk|, respectively. A paranorm on a linear topological space X is a function g : X →R which satisfies the following axioms for any x, y,x0 ∈ X and λ,λ0 ∈ C: (i) g(θ) = 0, where θ = (0,0,0, . . .), the zero sequence, (ii) g(x) = g(−x), (iii) g(x+ y) ≤ g(x) + g(y) (subadditivi...

On convolution properties for some classes of meromorphic functions associated with linear operator

In this paper, we defined two classes $S_{p}^{ast }(n,lambda ,A,B)$ and\ $ K_{p}(n,lambda ,A,B)$ of meromorphic $p-$valent functions associated with a new linear operator. We obtained convolution properties for functions in these classes.