[4] viXra:1811.0496 [pdf] submitted on 2018-11-28 06:20:10
Authors: Antonio Boccuto, Xenofon Dimitriou
Comments: 19 Pages.
Some versions of Dieudonne-type
convergence and uniform boundedness theorems are proved, for k-triangular and regular lattice group-valued set functions. We use
sliding hump techniques and direct methods. We extend earlier results, proved in the real case.
Category: Functions and Analysis
[3] viXra:1811.0281 [pdf] submitted on 2018-11-19 04:01:17
Authors: Fayowole David Ayadi
Comments: 2 Pages.
This work is an alternate method of evaluating absolute (modulus) value.
Category: Functions and Analysis
[2] viXra:1811.0244 [pdf] submitted on 2018-11-15 06:38:41
Authors: Yogesh J. Bagul
Comments: 4 Pages. In this paper , a mathematical mistake is discovered and another simple proof of the theorem is proposed.
In this short review note we show that the new proof of theorem
1.1 given by Zheng Jie Sun and Ling Zhu in the paper Simple proofs of the
Cusa-Huygens-type and Becker-Stark-type inequalities is logically incorrect
and present another simple proof of the same.
Category: Functions and Analysis
[1] viXra:1811.0222 [pdf] replaced on 2019-10-27 16:08:48
Authors: Jonathan W. Tooker
Comments: 32 Pages.
We demonstrate the existence of a broad class of real numbers which are not elements of any number field: those in the neighborhood of infinity. After considering the reals and the affinely extended reals, we prove that numbers in the neighborhood of infinity are ordinary real numbers of the type detailed in Euclid's Elements. We show that real numbers in the neighborhood of infinity obey the Archimedes property of real numbers. The main result is an application in complex analysis. We show that the Riemann zeta function has infinitely many non-trivial zeros off the critical line in the neighborhood of infinity.
Category: Functions and Analysis