Abstract. We propose several models to segment images corrupted by additive or multiplicative noise, and by a smooth field (as global intensity inhomogeneity) in a variational curve evolution approach. The proposed energies can be seen as particular K −functionals or J −functionals that arise in the theory of interpolation between spaces. In the additive case, we decompose a data function u0 in...

Multipole moments are the first order responses of energy to spatial derivatives electric field strength. The quality density functional theory (DFT) prediction molecular multipole thus characterizes errors in modeling electron itself, as well performance describing molecules interacting with external fields. However, only lowest non-zero moment is translationally invariant, making higher origi...

in this work, we dissect the performance of  two modern perdew-burke-ernzerhof (pbe)-based double-hybrid (dh) density functionals to predict the isotropic and anisotropic polarizabilities of water nanoclusters (h2o)n [n = 2-6]. the considered models include the cubic integrand (ci) and quadratic integrand (qi) functions as well as the spin-opposite-scaled (sos) scheme for perturbative correlati...

Approximative properties of the Taylor-Abel-Poisson linear summation method Fourier series are considered for functions several variables, periodic with respect to hexagonal domain, in integral metric. In particular, direct and inverse theorems proved terms approximations by means K-functionals generated radial derivatives. Bernstein type inequalities L1-norm derivatives arbitrary order Poisson...

We prove that all extreme points of the unit ball a Lipschitz-free space over compact metric have finite support. Combined with previous results, this completely characterizes and implies them are also in bidual ball. For proof, we develop some properties an integral representation functionals on Lipschitz spaces originally due to K. de Leeuw.

The first-principle calculations of the structural and electronic properties for a series Mn 4+ doped A 2 SiF 6 ( = K, Rb, Cs) phosphors within density functional theory are performed to investigate influence first cation on crystal field strength 10 Dq energy E→ 4 red emission transition. changes due an inclusion ions into hosts studied in detail here. obtained results show that shorter Mn–F b...

This paper is devoted to proposing improved discontinuous Lyapunov functionals for the stability analysis of sampled-data systems. Specifically, by relaxing existing looped-functional, this makes first attempt integrate 1/t-t k ∫ xmlns:xlink="http://www.w3.org/1999/xlink">tk <sup xmlns:xli...

Ten years ago, Deslauriers and Dubuc introduced a process for interpolating data observed at the integers, producing a smooth function deened on the real line. In this note we point out that their idea admits many fruitful generalizations including: Interpolation of other linear functionals of f (not just point values), yielding other reenement schemes and biorthogonal wavelet transforms; Inter...

We prove regularity results for minimizers of functionals F(u, Ω) := Ω f(x, u, Du) dx in the class K := {u ∈ W 1,p(x)(Ω,R) : u ≥ ψ}, where ψ : Ω → R is a fixed function and f is quasiconvex and fulfills a growth condition of the type L−1|z|p(x) ≤ f(x, ξ, z) ≤ L(1 + |z|p(x)), with growth exponent p : Ω → (1,∞).

In this paper, optimal Lp − Lq estimates are obtained for operators which average functions over polynomial submanifolds, generalizing the k-plane transform. An important advance over previous work (e.g., [9]) is that full Lp − Lq estimates are obtained by methods which have traditionally yielded only restricted weak-type estimates. In the process, one is lead to make coercivity estimates for c...