| viXra.org > Functions and Analysis > 2004 |
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| viXra.org > Functions and Analysis > 2004 |
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[11] viXra:2004.0609 [pdf] replaced on 2020-07-28 09:22:12
Authors: Daniel Thomas Hayes
Comments: 29 Pages.
The CL equations governing instability to Langmuir circulation (LC) are solved by three approximate methods, viz:
a small-l asymptotic expansion where l is the spanwise wavenumber, a power series method, and a Galerkin method.
Interest is focused on the CL2 instability mechanism to LC and how it is influenced by stratification throughout
the layer in which LC live. Some results are provided to illustrate the CL2 instability and how it is affected by
nonlinearities.
Category: Functions and Analysis
[10] viXra:2004.0533 [pdf] replaced on 2024-12-30 02:45:00
Authors: Daniel Thomas Hayes
Comments: 2 Pages.
A proposed proof of the Riemann hypothesis.
Category: Functions and Analysis
[9] viXra:2004.0523 [pdf] submitted on 2020-04-22 08:10:25
Authors: Martin Nicholson
Comments: 10 Pages.
A class of log-trigonometric integrals are evaluated in terms of elliptic functions.
Category: Functions and Analysis
[8] viXra:2004.0325 [pdf] submitted on 2020-04-13 12:35:39
Authors: J. Vanterler da C. Sousa; Donal O'Regan, E. Capelas de Oliveira
Comments: 18 Pages.
In this paper, we investigate the existence of a class of globally attractive solutions of the Cauchy fractional problem with the $\psi$-Hilfer fractional derivative using the measure of noncompactness. An example is given to illustrate our theory.
Category: Functions and Analysis
[7] viXra:2004.0324 [pdf] submitted on 2020-04-13 12:49:36
Authors: J. Vanterler da C. Sousa; Michal Feckan, E. Capelas de Oliveira
Comments: 23 Pages.
The existence, uniqueness and convergence of approximation of mild solutions for a class of nonlocal fractional functional differential equations in Hilbert separable space, will
be investigated. To this end, the Gronwall inequality and Faedo-Galerkin approximation
will be used.
Category: Functions and Analysis
[6] viXra:2004.0323 [pdf] submitted on 2020-04-13 12:54:31
Authors: J. Vanterler da C. Sousa; Mouffak Benchohra; Gaston M. N'Guerekata.
Comments: 15 Pages.
This paper investigates the overall solution attractivity of the fractional differential equation introduced by the $\psi$-Hilfer fractional derivative and the Krasnoselskii's fixed point theorem. We highlight some particular cases of the result investigated here, especially involving the Riemann- Liouville and Katugampola fractional derivative, elucidating the fundamental property of the $\psi$-Hilfer fractional derivative, that is, the broad class of particular cases of fractional derivatives that consequently apply to the results investigated
herein.
Category: Functions and Analysis
[5] viXra:2004.0287 [pdf] replaced on 2020-04-13 03:07:17
Authors: M. Sprecher
Comments: 7 Pages. typos corrected and reference added
We consider approximations of functions from samples where the functions take values on a submanifold of $\mathbb{R}^n$. We generalize a common quasi-interpolation scheme based on cardinal B-splines by combining it with a projection $P$ onto the manifold. We show that for $m\geq 3$ we will have approximation order $4$. We also show why higher approximation order can not be expected when the control points are constructed as projections of the filtered samples using a fixed mask.
Category: Functions and Analysis
[4] viXra:2004.0236 [pdf] submitted on 2020-04-10 03:49:53
Authors: Antonio Boccuto, Xenofon Dimitriou
Comments: 13 Pages.
We give some limit theorems for sequences of lattice group-valued
k-triangular set functions, in the setting of filter convergence, and
some results about their equivalence. We use the concept of filter
exhaustiveness to get uniform (s)-boundedness, uniform continuity and
uniform regularity of a suitable subsequence of the given sequence,
whose indexes belong to the involved filter.
Category: Functions and Analysis
[3] viXra:2004.0234 [pdf] submitted on 2020-04-10 04:40:13
Authors: Kamil Demirci, Antonio Boccuto, Sevda Yildiz e Fadime Dirik
Comments: 10 Pages.
We prove a Korovkin-type approximation theorem using the relative
uniform convergence of a sequence of functions at a point, which is a
method stronger than the classical ones. We give some examples on this new
convergence method and we study also rates of convergence.
Category: Functions and Analysis
[2] viXra:2004.0232 [pdf] submitted on 2020-04-10 05:02:13
Authors: Antonio Boccuto, Pratulananda Das
Comments: 13 Pages.
We introduce a concept of convergence of order alpha, which is positive and strictly less than one, with respect to
a summability matrix method A for sequences, taking values in lattice groups. Some main
properties and dierences with the classical
A-convergence are investigated. A
Cauchy-type criterion and a closedness result for the space of convergent sequences according our notion is proved.
Category: Functions and Analysis
[1] viXra:2004.0092 [pdf] submitted on 2020-04-04 15:15:28
Authors: Mohamed E. Hassani
Comments: 4 Pages; 22 References.
In the present note a critical discussion of two ODEs and two polynomials that have been wrongly attributed to the French mathematician Edmond Nicolas Laguerre (1834-1886) is provided. It is shown that Laguerre had nothing to do with such a wrong attribution and the actual discoverer was the Russian mathematician Nikolay Yacovlevich Sonine (1849-1915).
Category: Functions and Analysis
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