Quasi-interpolations with interpolation property

The Quasi-morphic Property of Group

A group is called morphic if for each normal endomorphism α in end(G),there exists β such that ker(α)= Gβ and Gα= ker(β). In this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= Gβ and Gα = ker(γ). We call G quasi-morphic, if this happens for any normal endomorphism α in end(G). We get the following results: G is quasi-morphic if and only if, for any ...

Scattered data approximation of fully fuzzy data by quasi-interpolation

Fuzzy quasi-interpolations help to reduce the complexity of solving a linear system of equations compared with fuzzy interpolations. Almost all fuzzy quasi-interpolations are focused on the form of $widetilde{f}^{*}:mathbb{R}rightarrow F(mathbb{R})$ or $widetilde{f}^{*}:F(mathbb{R})rightarrow mathbb{R}$.  In this paper, we intend to offer a novel fuzzy radial basis function by the concept of so...

Using multiquadric quasi-interpolation for solving Kawahara equation

Commutators in Real Interpolation with Quasi-power Parameters

The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi-power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the context of commutator estimates for the re...

On an interpolation property of outerplanar graphs

LetD be an acyclic orientation of a graphG.An arc ofD is said to be dependent if its reversal creates a directed cycle. Let d(D) denote the number of dependent arcs inD. Define dmin(G) (dmax(G)) to be theminimum (maximum) number of d(D) over all acyclic orientationsD ofG.We determine dmin(G) for an outerplanar graph G and prove that G has an acyclic orientation with exactly k dependent arcs if ...