Quasiconvex functions of higher order and the behavior of some nonlinear functionals
Abstract A result of T. Popoviciu, which characterizes real linear functionals on \(C(I)\) that are positive on n-convex functions as…
(original)
Measure of noncompactness and second order differential equations with deviating argument
AbstractWe study the existence and uniqueness of equations u′′(t)=f(t,u(t),u′(t),u(g₁(t)),…,u(g_{m}(t))) 1.1 u(t)=p(t),)t∈I╲intI,(1.2) in a Banach space. This problem is regarded as…
Convex functions of order \(n\) and \(P_n\)-simple functionals
Abstract A certain characterization of convex functions of order \(n\) on an interval \(I\) which are \((n+1)\) times differentiable on…
Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions
Abstract ?? AuthorsRadu Precup ”Babeș-Bolyai” University Department of Mathematics, Cluj-Napoca, Romania Keywords? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1988-vol17-no1-art8/Precup Cite this paper as:R. Precup, Maximal pseudomonotonicity…
On some properties of K-monotone operators
Abstract ?? AuthorsRadu Precup Keywords?? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1987-vol16-no1-art11/Precup Cite this paper as:R. Precup, On some properties of K-monotone operators, Anal. Numér. Théor.…
A K-monotone best approximation operator which is neither monotone and (essentially) nor (o)-monotone
Abstract ?? AuthorsRadu Precup Liceul de Informatica Cluj-Napoca Keywords?? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1986-vol15-no2-art10/Precup Cite this paper as:R. Precup, A K-monotone best approximation operator…
New estimates of the degree of the comonotone interpolating polynomials
Abstract ?? AuthorsRadu Precup Liceul de Informatica Cluj-Napoca Keywords?? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1986-vol15-no1-art9/Precup Cite this paper as:R. Precup, New estimates of the degree…
Piecewise convex interpolation
Abstract Let \(n\in N\) and the following two systems of \(n+1\) real values: \[ 0=x_{0}<x_{1}<\ldots<x_{n}=1 \] \[ 0=y_{0},\ y_{1},\ \ldots,\…
Estimates of the degree of comonotone interpolating polynomials
Abstract ?? AuthorsRadu Precup Grupul Scolar “Traian Vuia” Cluj-Napoca Keywords?? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1982-vol11-nos1-2-art16/Precup Cite this paper as:R. Precup, Estimates of the degree…
Interpolating convex polynomials
AbstractIn this paper we define the piecewise retarded convex interpolating polynomials and piecewise anticipated convex interpolating polynomials. An existence theorem…