An inequality for correlated measurable functions.
An inequality for the Hardy-Littlewood maximal operator with respect to a product of differentiation bases
An inquiry-based method for Choquet integral-based aggregation of interface usability parameters
The concept of usability of man-machine interfaces is usually judged in terms of a number of aspects or attributes that are known to be subject to some rough correlations, and that are in many cases given different importance, depending on the context of use of the application. In consequence, the automation of judgment processes regarding the overall usability of concrete interfaces requires the design of aggregation operators that are capable of modeling approximate or ill-defined interactions...
An integral for nonmeasurable correspondences and the shapley-interval.
An integral formula for entropy of doubly stochastic operators
A new formula for entropy of doubly stochastic operators is presented. It is also checked that this formula fulfills the axioms of the axiomatic definition of operator entropy, introduced in an earlier paper of Downarowicz and Frej. As an application of the formula the 'product rule' is obtained, i.e. it is shown that the entropy of a product is the sum of the entropies of the factors. Finally, the proof of continuity of the new 'static' entropy as a function of the measure is given.
An Integral in Topological Spaces II.
An integral operator inequality with applications.
An integral related to the Cauchy transform on the Sierpiński gasket.
An integral representation for decomposable measures of measurable functions. (Summary).
An integral representation for decomposable measures of measurable functions.
An intersection property of sets with positive measure
An invariant for continuous mappings
An isoperimetric inequality in R3
An isoperimetric inequality on the ℓp balls
The normalised volume measure on the ℓnp unit ball (1≤p≤2) satisfies the following isoperimetric inequality: the boundary measure of a set of measure a is at least cn1/pãlog1−1/p(1/ã), where ã=min(a, 1−a).
An L...-Estimate for the gradient of extremals.
An Open Mapping Theorem for Measures.
An uncountable partition contained in the atomless σ-field
This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.
Analyse des correspondances et codage par une probabilité de transition
Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula
Analytic capacity and linear measure