Add to ORKGWe started with the generalization of the Csiszar's f-divergence. We stated and proved Jensen's type inequality for L-Lipschitzian functions. The results for commonly used examples of f-divergences, such as the Kullbach-Leibler divergence, the Hellinger divergence, the Renyi divergence and chi(2)-distance are derived. Further, we examined two specific averaging functions, previously known in the literature. Finally, we obtained interesting results concerning the Zipf-Mandelbrot law
A refinement of the discrete Jensen’s inequality for convex functions\ud defined on a convex subset ...
A refinement of the discrete Jensen’s inequality for convex functions defined on a convex subset in...
A refinement of the discrete Jensen’s inequality for convex functions defined on a convex subset in...
We started with the generalization of the Csiszár’s f -divergence. We stated and proved Jensen’s typ...
The Jensen functional in its discrete form is brought in relation to the Csiszar divergence function...
Summary: "In this paper we obtain some estimates for the generalized f-divergence functional via con...
In this paper we obtain some estimates for the generalized f-divergence functional via converses of ...
Abstract Motivated by the method of interpolating inequalities that makes use of the improved Jensen...
Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type ine...
Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type ine...
By means of one new Jensen-type inequality for signed measures which is characterized via several di...
The Jensen's inequality plays a crucial role to obtain inequalities for divergences between probabil...
In this paper we show how the Zipf-Mandelbrot law is connected to the theory of majorization. Firstl...
summary:The concept of $f$-divergences was introduced by Csiszár in 1963 as measures of the ‘hardnes...
The concept of f-divergences was introduced by Csiszár in 1963 as measures of the ’hardness’ of a te...
A refinement of the discrete Jensen’s inequality for convex functions\ud defined on a convex subset ...
A refinement of the discrete Jensen’s inequality for convex functions defined on a convex subset in...
A refinement of the discrete Jensen’s inequality for convex functions defined on a convex subset in...
We started with the generalization of the Csiszár’s f -divergence. We stated and proved Jensen’s typ...
The Jensen functional in its discrete form is brought in relation to the Csiszar divergence function...
Summary: "In this paper we obtain some estimates for the generalized f-divergence functional via con...
In this paper we obtain some estimates for the generalized f-divergence functional via converses of ...
Abstract Motivated by the method of interpolating inequalities that makes use of the improved Jensen...
Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type ine...
Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type ine...
By means of one new Jensen-type inequality for signed measures which is characterized via several di...
The Jensen's inequality plays a crucial role to obtain inequalities for divergences between probabil...
In this paper we show how the Zipf-Mandelbrot law is connected to the theory of majorization. Firstl...
summary:The concept of $f$-divergences was introduced by Csiszár in 1963 as measures of the ‘hardnes...
The concept of f-divergences was introduced by Csiszár in 1963 as measures of the ’hardness’ of a te...
A refinement of the discrete Jensen’s inequality for convex functions\ud defined on a convex subset ...
A refinement of the discrete Jensen’s inequality for convex functions defined on a convex subset in...
A refinement of the discrete Jensen’s inequality for convex functions defined on a convex subset in...