Results 1 to 10 of about 101 (91)

Comonotone approximation and interpolation by entire functions

Journal of Mathematical Analysis and Applications, 2019
A theorem of Hoischen states that given a positive continuous function $\varepsilon:\mathbb{R}\to\mathbb{R}$, an integer $n\geq 0$, and a closed discrete set $E\subseteq\mathbb{R}$, any $C^n$ function $f:\mathbb{R}\to\mathbb{R}$ can be approximated by an entire function $g$ so that for $k=0,\dots,n$, and $x\in\mathbb{R}$, $|D^{k}g(x)-D^{k}f(x)|< ...
Maxim R Burke
exaly   +3 more sources

Comonotone lower probabilities with robust marginal distributions functions

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
AbstractOne of the usual dependence structures between random variables is comononicity, which refers to random variables that increase or decrease simultaneously. Besides the good mathematical properties, comonotonicity has been applied in choice theory under risk or in finance, among many other fields.
Ignacio Montes, Montes Ignacio
exaly   +4 more sources

Quantitative approximation by nonlinear Angheluta-Choquet singular integrals

Journal of Numerical Analysis and Approximation Theory, 2020
By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
doaj   +7 more sources

Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]

Sahand Communications in Mathematical Analysis, 2021
In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Bayaz Daraby
doaj   +1 more source

Study on Some Integral Inequalities for Pseudo-Integrals [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we express and prove  Stolarsky, Feng Qi and Markov type inequalities for two classes of pseudo-integrals. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a ...
Bayaz Daraby
doaj   +1 more source

On $\star$-associated comonotone functions [PDF]

Kybernetika, 2018
Summary: We give a positive answer to two open problems stated by \textit{M. Boczek} and \textit{M. Kaluszka} in their paper [Kybernetika 52, No. 3, 329--347 (2016; Zbl 1389.26063)]. The first one deals with an algebraic characterization of comonotonicity.
Ondrej Hutník, Jozef Pócs
openaire   +1 more source

Comonotone approximation by splines of piecewise monotone functions

Journal of Approximation Theory, 1982
Leviatan, D, Mhaskar, H.N
exaly   +3 more sources

PRICING IN REINSURANCE BARGAINING WITH COMONOTONIC ADDITIVE UTILITY FUNCTIONS [PDF]

ASTIN Bulletin, 2016
AbstractOptimal reinsurance indemnities have widely been studied in the literature, yet the bargaining for optimal prices has remained relatively unexplored. Therefore, the key objective of this paper is to analyze the price of reinsurance contracts.
Boonen, T.J., Tan, K.S., Zhuang, S.C.
openaire   +4 more sources

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

Sahand 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  

Equivalence between various Shape Preserving Approximations of periodic functions

Researches 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