ON TWO GENERALIZATIONS OF THE DARBOUX PROPERTY

1991 ◽  
Vol 17 (2) ◽  
pp. 535
Author(s):  
Istrate
Keyword(s):  
Darboux Property

scholarly journals Comparison of Some Families of Real Functions in Algebraic Terms

2017 ◽  
Vol 68 (1) ◽  
pp. 1-11
Author(s):  
Małgorzata Filipczak ◽  
Gertruda Ivanova
Keyword(s):  
Darboux Property ◽  
Real Functions

Abstract We compare families of functions related to the Darboux property (functions having the 𝒜-Darboux property) with family of strong Świątkowski functions using the notions of strong c-algebrability. We also compare families of functions associated with density topologies.

On some modification of Darboux property

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
Gertruda Ivanova ◽  
Elżbieta Wagner-Bojakowska
Keyword(s):  
Darboux Property

AbstractWe introduce some family of functions

scholarly journals Discontinuous Functions with the Darboux Property

1959 ◽  
Vol 2 (2) ◽  
pp. 111-118 ◽  
Author(s):  
Israel Halperin
Keyword(s):  
Discontinuous Functions ◽  
Darboux Property

If f(x) is real-valued and continuous, it has the property that it takes on all intermediate values when it passes from one value to another. This means that whenever f(x1) and f(x2) are different and u is any number between them, then f(x) = u for at least one x between x1 and x2. We shall call this the Darboux property.

scholarly journals On Symmetric Riemann-Derivatives

2021 ◽  
Vol 1 (2) ◽  
pp. 47-51
Author(s):  
S. Deb ◽  
Keyword(s):  
Closed Interval ◽  
Mean Value ◽  
Mean Value Property ◽  
Basic Properties ◽  
Darboux Property ◽  
Derivatives Of

The basic properties like monotoni city, Darboux property, mean value property of symmetric Riemann-derivatives of order n of a real valued function f at a point x of its domain (a closed interval) is studied. In some cases, function is considered to be continuous or semi-continuous.

The Darboux Property and Rolle’s Theorem

1964 ◽  
Vol 47 (364) ◽  
pp. 203-204
Author(s):  
Yasushi Hattori
Keyword(s):  
Continuous Function ◽  
Rolle’S Theorem ◽  
Darboux Property

A function f(x) is said to have the Darboux property on an interval (a, b) if f(x) attains any value between any two of its values. As is well known, a derivative has the Darboux property (as has a continuous function) but a function with the Darboux property is not necessarily continuous or even bounded.

A DARBOUX PROPERTY FOR TRANSFORMATIONS

1981 ◽  
Vol 7 (1) ◽  
pp. 169
Author(s):  
Pu
Keyword(s):  
Darboux Property
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