Note: The expression for L(s,W ) requires some care, since q v is a complex number acting on a p-adic vector space. What has to be proved is that the characteristic polynomial for the action of Frobv on W i has rational coefficients (and is independent of p), so evaluation using q v makes sense (and the Riemann Hypothesis ensures absolute convergence of the product in a suitable right half-plan...

— We study a free-boundary problem ofbiological interest, for the heat équation ; the problem is reduced to a variational inequality, which is solved by means ofafinite différence method. We aiso give an error estimaté, in the L^-norm, for the solution of the inequality, and a convergence theorem for the discrete free boundaries, The latter follows from a gênerai resuit concerning the behaviour...

In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Li...

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...

In this paper, we define a kind of lattice-valued convergence spaces based on the notion of $top$-filters, namely $top$-convergence spaces, and show the category of $top$-convergence spaces is Cartesian-closed. Further, in the lattice valued context of a complete $MV$-algebra, a close relation between the category of$top$-convergence spaces and that of strong $L$-topological spaces is establish...

We study the convergence properties of alternating proximal minimization algorithms for (nonconvex) functions of the following type: L(x, y) = f(x) + Q(x, y) + g(y) where f : R → R∪{+∞} and g : R → R∪{+∞} are proper lower semicontinuous functions and Q : R×R → R is a smooth C (finite valued) function which couples the variables x and y. The algorithm is defined by: (x0, y0) ∈ R n × R given, (xk...

We consider an approximation of L 2 0; 1) functions by linear combinations of exponentials fexp(? ` t)g. Having derived explicitly by Fourier transform techniques an orthogonal basis of exponentials, we specialize the discussion to the choicè = q ` , ` = 0; 1; : : :, where q 2 (0; 1). In that case the underlying orthogonal functions possess a particularly appealing form and they obey interestin...

We show that the convergence of measures for object size to their “true values” can be analyzed by looking at the pixels (or voxels) on the border of the object. This leads to results for a proper choice for the samplin density of the asymptotic form CV = d p = k Q ( N + l ) i g where Q is the sampling density (pixels per object “diameter”) and N is the number of spatial dimensions.