we show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. further we study the preservation of diagonal conditions, which characterize approach spaces. it is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued p...

We prove enhanced error estimates for high order semi-lagrangian discretizations of the Vlasov-Poisson equation. It provides new insights into optimal numerical strategies for the numerical solution of this problem. The new error estimate O ( min ( ∆x ∆t , 1 ) ∆x + ∆t ) is based on advanced error estimates for semi-lagrangian schemes, also equal to shifted Strang’s schemes, for the discretizati...

The dynamic Sylvester equation (DSE) is frequently encountered in engineering and mathematics fields. original zeroing neural network (OZNN) can work well to handle DSE under a noise-free environment, but may not noise. Though an integral-enhanced (IEZNN) be employed solve the multiple-noise, it fall flat linear noise, its convergence speed unsatisfactory. Therefore, accelerated double-integral...

Unlike early versions of MPEG, MPEG-7 is shifting from a data-compression standard to a multimedia content description standard. As a result, it will have much broader implications for the human-computer interaction research. There are countless ways that the MPEG-7 metadata description framework can enhance users’ experiences in accessing multimedia content. In this paper, we will report the a...

In this paper,  fuzzy convergence theory in the framework of $L$-convex spaces is introduced. Firstly, the concept of $L$-convex remote-neighborhood spaces is introduced and it is shown that the  resulting category is isomorphic to that of $L$-convex spaces. Secondly, by means of $L$-convex ideals, the notion of $L$-convergence spaces is introduced and it is proved that the  category of $L$-con...

consider the following consistent sylvester tensor equation[mathscr{x}times_1 a +mathscr{x}times_2 b+mathscr{x}times_3 c=mathscr{d},]where the matrices $a,b, c$ and the tensor $mathscr{d}$ are given and $mathscr{x}$ is the unknown tensor. the current paper concerns with examining a simple and neat framework for accelerating the speed of convergence of the gradient-based iterative algorithm and ...

The aim of this paper is to extend the truth value table oflattice-valued convergence spaces to a more general case andthen to use it to introduce and study the quantale-valued fuzzy Scotttopology in fuzzy domain theory. Let $(L,*,varepsilon)$ be acommutative unital quantale and let $otimes$ be a binary operationon $L$ which is distributive over nonempty subsets. The quadruple$(L,*,otimes,varep...

T his paper is to study the convergence of per capita income. Convergence clubs hypothesis is one of the forms of convergence hypotheses, implying that countries with the same initial level of economic development, technology, and government policies, tend to be similar in per capita income and thus have a tendency to cluster around a small number of poles. In order to test the hypot...