عنوان مجله
|
Acta Universitatis Apulensis
|
کلیدواژهها
|
Choquet-like integrals, Carlson inequality, Comonotone function,
Pseudo-operations, Non-additive.
|
چکیده
|
Carlson's inequality is one of the most important inequalities in
probability, measure theory and analysis. The problem of nding a sharp inequality
of Carlson type inequality for Choquet-like integral based on the multiplication
operator has led to a challenging and an interesting subject for researchers. In this
paper, we give a Carlson type inequality based on pseudo-analysis for two classes of
Choquet-like integrals as generalizations of Choquet integral and Sugeno integral.
In the rst class, pseudo-operations are dened by a continuous strictly increasing
function g. Another class concerns the Choquet-like integrals based on the operator
sup and the pseudo-multiplication .
|