Functions and Analysis

1411 Submissions

[3] viXra:1411.0560 [pdf] submitted on 2014-11-25 09:47:20

On Filter Alpha-Convergence and Exhaustiveness of Function Nets in Lattice Groups and Applications

Authors: Antonio Boccuto, Xenofon Dimitriou
Comments: 8 Pages.

We consider (strong uniform) continuity of the limit of a pointwise convergent net of lattice group-valued functions, (strong weak) exhaustiveness and (strong) alpha-convergence with respect to a pair of filters, which in the setting of nets are more natural than the corresponding notions formulated with respect to a single filter. Some comparison results are given between such concepts, in connection with suitable properties of filters. Moreover, some modes of filter (strong uniform) continuity for lattice group-valued functions are investigated, giving some characterization. As an application, we get some Ascoli-type theorem in an abstract setting, extending earlier results to the context of filter alpha-convergence.
Category: Functions and Analysis

[2] viXra:1411.0548 [pdf] submitted on 2014-11-23 10:10:13

New Infnite Series and Integral Representations for Error Function

Authors: Edigles Guedes
Comments: 9 pages.

I proved some infinity series power and integral representations for error function and relations for special functions.
Category: Functions and Analysis

[1] viXra:1411.0228 [pdf] replaced on 2014-11-23 09:56:15

Infinite Serie and Integral Representations for Bessel Function of the First Kind J_v(z)

Authors: Edigles Guedes
Comments: 7 pages

I prove one expansion of infinite serie and some integral representations for Bessel function of the first kind.
Category: Functions and Analysis