Symmetrically continuous functions

1967 ◽  
Vol 1 (4) ◽  
pp. 257-260
Author(s):  
S. P. Ponomarev
Keyword(s):  
Continuous Functions ◽  
Symmetrically Continuous Functions

ON LOCALLY SYMMETRIC AND SYMMETRICALLY CONTINUOUS FUNCTIONS

1980 ◽  
Vol 6 (1) ◽  
pp. 67 ◽  
Author(s):  
Kostyrko ◽  
Neubrunn ◽  
Smital ◽  
Šalát
Keyword(s):  
Continuous Functions ◽  
Symmetrically Continuous Functions

scholarly journals Remarks on uniformly symmetrically continuous functions

2016 ◽  
Vol 09 (03) ◽  
pp. 1650069
Author(s):  
Tammatada Khemaratchatakumthorn ◽  
Prapanpong Pongsriiam
Keyword(s):  
Real Line ◽  
Nonempty Subset ◽  
Continuous Functions ◽  
The Real ◽  
Definition Of ◽  
Symmetrically Continuous Functions ◽  
Uniformly Continuous

We give the definition of uniform symmetric continuity for functions defined on a nonempty subset of the real line. Then we investigate the properties of uniformly symmetrically continuous functions and compare them with those of symmetrically continuous functions and uniformly continuous functions. We obtain some characterizations of uniformly symmetrically continuous functions. Several examples are also given.

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