Add to ORKGIn this paper, by using some nonstandard concepts given by Robinson and axiomatized by Nelson we study the behavior of functions defined on a discrete intervals, whose points are of infinitesimal distances. This study leads to introduce and define some new types of functions in nonstandard analysis and we get some nonstandard results for different nonstandard values (infinitesimals, infinitely close, unlimited …)
The main nonstandard tool-kits are known as infinitesimal analysis (Robin-son’s nonstandard analysis...
The present lecture notes have grown from a series of three lectures which were given by the author ...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called...
An infinitesimal is a ‘number’ that is smaller then each positive real number and is larger than eac...
For over a century, the calculus has been understood via the limit process developed by Cauchy and W...
Measures on the real line may be decomposed into a regular, singular and atomic part. The objective ...
In this paper, some new properties and results about Intermediate Value Property (IVP) via nonstanda...
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ...
In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. Thi...
In this paper we approach the Compact Linear Operators Theory by methods of Nonstandard Analysis. We...
In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a...
AbstractAs foundation of polynomial approximation, uniform convergence is replaced with basic nonsta...
This thesis concerns aspects of the functional analysis from both the classical and the nonstandard ...
This research monograph considers the subject of asymptotics from a nonstandard view point. It is in...
In the first part of the project the elementary development of an extended number system called Hype...
The main nonstandard tool-kits are known as infinitesimal analysis (Robin-son’s nonstandard analysis...
The present lecture notes have grown from a series of three lectures which were given by the author ...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called...
An infinitesimal is a ‘number’ that is smaller then each positive real number and is larger than eac...
For over a century, the calculus has been understood via the limit process developed by Cauchy and W...
Measures on the real line may be decomposed into a regular, singular and atomic part. The objective ...
In this paper, some new properties and results about Intermediate Value Property (IVP) via nonstanda...
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ...
In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. Thi...
In this paper we approach the Compact Linear Operators Theory by methods of Nonstandard Analysis. We...
In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a...
AbstractAs foundation of polynomial approximation, uniform convergence is replaced with basic nonsta...
This thesis concerns aspects of the functional analysis from both the classical and the nonstandard ...
This research monograph considers the subject of asymptotics from a nonstandard view point. It is in...
In the first part of the project the elementary development of an extended number system called Hype...
The main nonstandard tool-kits are known as infinitesimal analysis (Robin-son’s nonstandard analysis...
The present lecture notes have grown from a series of three lectures which were given by the author ...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called...