in this paper, we introduce a class of $j$-quasipolar rings. let $r$ be a ring with identity. an element $a$ of a ring $r$ is called {it weakly $j$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $j(r)$ and the ring $r$ is called {it weakly $j$-quasipolar} if every element of $r$ is weakly $j$-quasipolar. we give many characterizations and investiga...

and Applied Analysis 3 where 〈·, ·〉 denotes the pairing between E and E∗. Readers are directed to 7 and its review 8 , where the properties of the duality mapping and several related topics are presented. The function φ : E × E → R is defined by φ ( x, y ) ‖x‖ − 2〈x, Jy〉 ∥∥y∥∥2, ∀x, y ∈ E. 1.7 Let T be a mapping from C into E. A point p in C is said to be an asymptotic fixed point 9 of T ifC co...

Objective: Metal concentrations in 53 soil samples of Shahr-e-Babak were determined.  Methods: Assessment of enrichment factor and geo-accumulation index revealed higher degree of contamination of Cd, Pb, and Cu in soil samples. Moreover, results of metal fractionation study revealed high amount of Cd and Pb are associated in weakly bounds may lead to environmental risk of these metals.  Result...

A subset E of an infinite discrete group G is called (i) an Rw-set if any bounded function on G supported by E is weakly almost periodic, (ii) a weak p-Sidon set (1 ~ p < 2) if on II (E) the IP -norm is bounded by a constant times the maximal C·-norm of I\G) , (iii) a T-set if xE n E and Ex n E are finite whenever x of e, and (iv) an FT-set if it is a finite union of T-sets. In this paper, we s...

Online working of a government or providing its services online to its citizens at their door step is known as E-Governance. E-Governance is E-Commerce technology means online availability of government services. The technology and the methods used in E-Governance project provide a roadmap for efficient delivery of services at the door step. In today&apos;s time the development of any country d...

On Operators whose Compactness Properties are defined by Order by Safak Alpay Abstract. Let E be a Banach lattice. A subset B of E is called order bounded if there exist a, b in E such that a ≤ x ≤ b for each x ∈ B. Considering E in E′′, the bidual of E, a subset B of E is called b-order bounded in E if it is order bounded in the Banach lattice E′′. A bounded linear operator T : E → X is called...

Let E n be a sequence of experiments weakly converging to a limit experiment E. One of the basic objectives of asymptotic decision theory is to derive asymptotically "best" decisions in E n from optimal decisions in the limit experiment E. A central statement in this context is the Hajek-LeCam bound which represents a lower bound for the maximum risk of a sequence of decisions. It is given a si...