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Characterizations of convex approximate subdifferential calculus in banach spaces
(Amer Mathematical Soc, 2016)
We establish subdifferential calculus rules for the sum of convex functions defined on normed spaces. This is achieved by means of a condition relying on the continuity behaviour of the inf-convolution of their corresponding ...
Ring approximation at equilibrium: The hard sphere pair correlation function
(2007)
The ring approximation has been used in the kinetic theory of hard sphere fluids to investigate non-equilibrium phenomena depending on dynamic correlations, not included in the Boltzmann or Enskog equations. We show that ...
Reactivity indices and response functions in density functional theory
(Elsevier, 1998)
The hardness and softness quantities defined in density functional theory are discussed. A new scheme to calculate the hardness and softness hierarchies without resorting to the finite difference approximation is outlined. ...
Determination of convex functions via subgradients of minimal norm
(Springer, 2020)
We show, in Hilbert space setting, that any two convex proper lower semicontinuous functions bounded from below, for which the norm of their minimal subgradients coincide, they coincide up to a constant. Moreover, under ...
Delay approximations for correlation measurements using analog computers
(1965)
-In the most direct method for measuring correlation functions with an analog computer a delay must be simulated. Since a lumped parameter system is used, we can only hope to approximate this delay. We intentionally exclude ...
Symmetric nonlocal weighted density approximations from the exchange-correlation hole of the uniform electron gas
(American Chemical Society, 2012)
Nonlocal exchange-correlation energy functionals are constructed using the accurate model exchange-correlation hole for the uniform electron gas developed by Gori-Giorgi and Perdew. The exchange-correlation hole is constrained ...
Approximation of Young measures by functions and application to a problem of optimal design for plates with variable thickness
(1994)
Given a parametrised measure and a family of continuous functions (<pn), we construct a
sequence of functions (uk) such that, as fc-> co, the functions fn(uk) converge to the
corresponding moments of the measure, in the ...
Faces and Support Functions for the Values of Maximal Monotone Operators
(Springer, 2020)
Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on reflexive and locally uniformly convex real Banach spaces ...
MVT, Integration, and Monotonicity of a Generalized Subdifferential in Locally Convex Spaces
(Heldermann Verlag, 2020)