THE SYMMETRIC DERIVATIVE AND THE DARBOUX PROPERTY

1987 ◽  
Vol 13 (1) ◽  
pp. 305
Author(s):  
Kostyrko
Keyword(s):  
Darboux Property ◽  
Symmetric Derivative

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

The First Symmetric Derivative

1967 ◽  
Vol 74 (6) ◽  
pp. 708 ◽  
Author(s):  
C. E. Aull
Keyword(s):  
Symmetric Derivative

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.

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