Some reverse inequalities for scalar Birkhoff weak integrable functions
Some inequalities and reverses of classic Hölder and Minkowski types are obtained for scalar Birkhoff weak integrable functions with respect to a non-additive measure.
math.FA↗
arXiv subjects
Alina Iosif
Publications and source records attributed to Alina Iosif.
Generalized decomposition integral of real functions with respect to fuzzy measures
In this paper we define a type of generalized Riemann-Lebesgue (decomposition) integral for non-negative real functions with respect to two non-additive set functions. For this integral we present some classical properties.
math.FA↗
A survey on the Riemann-Lebesgue integrability in non-additive setting
We present in this survey some results regarding Riemann_Lebesgue integrability with respect to arbitrary non-additive set functions.
math.FA↗
Properties of the Riemann-Lebesgue integrability in the non-additive case
We study Riemann-Lebesgue integrability of a vector function relative to an arbitrary non-negative set function. We obtain some classical integral properties. Results regarding the continuity properties of the integral and relationships among Riemann-Lebesgue, Birkhoff simple and Gould integrabilities are also established.
math.FA↗