gâteaux derivatives
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scholarly journals BOUNDS IN TERMS OF GÂTEAUX DERIVATIVES FOR THE WEIGHTED f-GINI MEAN DIFFERENCE IN LINEAR SPACES

2011 ◽  
Vol 83 (3) ◽  
pp. 420-434
Author(s):  
S. S. DRAGOMIR
Keyword(s):  
Symmetric Functions ◽  
Mean Difference ◽  
Linear Spaces ◽  
Inner Products ◽  
Gini Mean Difference ◽  
Gateaux Derivatives ◽  
Gâteaux Derivatives

AbstractSome bounds in terms of Gâteaux lateral derivatives for the weighted f-Gini mean difference generated by convex and symmetric functions in linear spaces are established. Applications for norms and semi-inner products are also provided.

scholarly journals INEQUALITIES IN TERMS OF THE GÂTEAUX DERIVATIVES FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS

2011 ◽  
Vol 83 (3) ◽  
pp. 500-517 ◽  
Author(s):  
S. S. DRAGOMIR
Keyword(s):  
Convex Functions ◽  
Jensen’S Inequality ◽  
Jensen's Inequality ◽  
Linear Spaces ◽  
Divergence Measures ◽  
Gateaux Derivatives ◽  
Gâteaux Derivatives

AbstractSome inequalities in terms of the Gâteaux derivatives related to Jensen’s inequality for convex functions defined on linear spaces are given. Applications for norms, mean f-deviations and f-divergence measures are provided as well.

Gâteaux derivatives and their applications to approximation in Lorentz spaces Γ p,w

2009 ◽  
Vol 282 (9) ◽  
pp. 1242-1264 ◽  
Author(s):  
Maciej Ciesielski ◽  
Anna Kamińska ◽  
Ryszard Płuciennik
Keyword(s):  
Lorentz Spaces ◽  
Gateaux Derivatives ◽  
Gâteaux Derivatives
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