Results 11 to 20 of about 665 (108)

Results of the Chebyshev type inequality for Pseudo-integral [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions.
Bayaz Daraby
doaj  

On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]

open access: yes, 2015
In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than ...
Boczek, Michał, Kaluszka, Marek
core   +2 more sources

Equivalence between various Shape Preserving Approximations of periodic functions

open access: yesResearches in Mathematics
We show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj   +1 more source

Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices

open access: yes, 2017
Two new generalizations of the relation of comonotonicity of lattice-valued vectors are introduced and discussed. These new relations coincide on distributive lattices and they share several properties with the comonotonicity for the real-valued vectors (
Halaš, Radomír   +2 more
core   +1 more source

Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials [PDF]

open access: yes, 2011
We survey developments, over the last thirty years, in the theory of Shape Preserving Approximation (SPA) by algebraic polynomials on a finite interval.
Kopotun, K. A.   +3 more
core   +2 more sources

Risk Minimization and Optimal Derivative Design in a Principal Agent Game [PDF]

open access: yes, 2007
We consider the problem of Adverse Selection and optimal derivative design within a Principal-Agent framework. The principal's income is exposed to non-hedgeable risk factors arising, for instance, from weather or climate phenomena.
Horst, U., Moreno, S.
core   +2 more sources

Degree of nearly comonotone approximation of periodic functions

open access: yesAsian-European Journal of Mathematics, 2023
Let a [Formula: see text]-periodic function [Formula: see text] change its monotonicity at a finitely even number of points [Formula: see text] of the period. The degree of approximation of this [Formula: see text] by trigonometric polynomials which are comonotone with it, i.e.
openaire   +3 more sources

Diversification Preferences in the Theory of Choice

open access: yes, 2015
Diversification represents the idea of choosing variety over uniformity. Within the theory of choice, desirability of diversification is axiomatized as preference for a convex combination of choices that are equivalently ranked.
De Giorgi, Enrico G., Mahmoud, Ola
core   +1 more source

Optimal Risk Allocation in Reinsurance Networks

open access: yes, 2017
In this paper we consider reinsurance or risk sharing from a macroeconomic point of view. Our aim is to find socially optimal reinsurance treaties.
Bäuerle, Nicole, Glauner, Alexander
core   +1 more source

On comonotonically additive interval-valued functionals and interval-valued Choquet integrals(II) [PDF]

open access: yesJournal of Korean Institute of Intelligent Systems, 2004
In this paper, we will define comonotonically additive interval-valued functionals which are generalized comonotonically additive real-valued functionals in Schmeidler[14] and Narukawa[12], and prove some properties of them. And we also investigate some relations between comonotonically additive interval-valued functionals and interval-valued Choquet ...
Lee-Chae Jang   +2 more
openaire   +1 more source

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