The notion of the sub-exact sequence is generalization exact in algebra especially on a module. A module over ring R vector space field F. Refers to special F when we have complete inner product space, it called Hilbert space. if every Cauchy converges. Now, introduce which can later be useful statistics. This paper aims investigate properties and their relation direct summand As result, get tw...

In this paper by using natural density real valued bounded sequence space $l_{\infty}$ is extented and statistical $l_{\infty}^{st}$ obtained. Besides the main properties of $l_{\infty}^{st}$, it shown that a Banach with norm produced help density. Also, there no matrix extension its sequences covers $l_{\infty}^{st}$. Finally, non-porous subset

Motivated by the work of Birman about relationship between mapping class groups and braid groups, authors discuss orbit group equivariant on closed surface M with a free proper action in this paper. Their construction is based exact sequence given fibration $${\cal F}_0^GM \to F\left( {M/G,n} \right)$$ . The conclusion closely connected quotient space. Comparing situation without action, there ...

The multidimensional databases often use compression techniques in order to decrease the size of the database. This paper introduces a new method called difference sequence compression. Under some conditions, this new technique is able to create a smaller size multidimensional database than others like single count header compression, logical position compression or base-offset compression.

We construct some generalized difference Hahn sequence spaces by mean of sequence of modulus functions. The topological properties and some inclusion relations of spaces h p ((F, u, Δ(r)) are investigated. Also we compute the dual of these spaces, and some matrix transformations are characterized.

Parameters of linear systems are subject to time changes. That is why in order to construct such systems it is desirable to know if they are not only stable but also able to estimate the distance of the system from the boundary of the stability region in the parameter space. Therefore, it makes sense to investigate the geometry of the subset of stable polynomials in the space of characteristic ...

we prove a strong convergence result for a sequence generated by halpern's type iteration for approximating a common fixed point of a countable family of quasi-lipschitzian mappings in a real hilbert space. consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for co...