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Minimization of functional with integrand expressed as minimum of quasiconvex functions –- general and special cases

Banach Center Publications, 2014
We present a method of optimization a coercive integral functional J with integrand being a minimum of quasiconvex functions. The method is further applied to the minimization of functional with integrand expressed as a minimum of two quadratic functions. This is done by approximating the original nonconvex problem by appropriate convex ones.
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Quadrature over a Simplex: Part 1. A Representation for the Integrand Function

SIAM Journal on Numerical Analysis, 1978
The basic purpose of the analysis is to derive an n-dimensional analogue of the Euler Maclaurin expansion valid for any quadrature role Q for the simplex.We choose for our calculation the simplex $S_n :x_i > 0;\Sigma _{i = 1}^n x_i < 1$ which lies within the hypercube $H_n :0 < x_i < 1$.
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??-convergence of integral functionals with degenerate integrands in periodically perforated domains

2017
We consider a sequence of integral functionals with degenerate integrands in perforated domains of periodic structure. We establish the ??-convergence of the sequence under consideration to an integral functional defined on a limit weighted Sobolev space. A representation formula for the integrand of the ??-limit functional is given.
Kovalevsky, A.A., Rudakova, O.A.
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Semicontinuity of integral functionals with integrands defined in infinite dimensional spaces

1990
The paper is concerned with some abstract sequential lower semicontinuity results for integral functionals defined on functions taking values in infinite-dimensional spaces. The results obtained are also applied to get sequential lower semicontinuity results for functionals defined on the set \({\mathcal A} ([0,1 ],V)\) of the absolutely continuous ...
CALIGARIS, OTTAVIO, OLIVA, PIETRO
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Logarithms of Laplace–Stiltjes integral and maximum of the integrand

Integral Transforms and Special Functions, 2007
M M Sheremeta
exaly  

Classification of Heterogeneous Fuzzy Data by Choquet Integral With Fuzzy-Valued Integrand

IEEE Transactions on Fuzzy Systems, 2007
Pheng-Ann Heng, Kwong-Sak Leung
exaly  

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