On a functional equation
Abstract This is a survey paper devoted to the following functional equation \[ \sum_{k\in Z}p_{k}u\left( x-k\right) =v\left( x\right) ,\ \…
1997
A bivariate extension of the Bernstein polynomials
Abstract In this paper it is given an extension to two variables of the Bernstein \(B_{n,r}f\) operators and there are…
On modified Beta operators
Abstract In the present paper, we deal with an integral operator of beta-type \(L_{m,y}\) depending on a positive real parameter…
On a class of linear approximating operators
Abstract In this paper we introduce a new class of linear approximating operators \(\left( L_{nr}\right) _{n\geq1},r=0,1,2,…,\) for the functions \(f\in…
On simultaneous approximation by Stancu-Bernstein operators
Abstract AuthorsOctavian Agratini Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania KeywordsLinear positive operators; modulus of continuity; degree of approximation Paper…
On an approximating linear positive operator of Cheney-Sharma
Abstract AuthorsDimitrie D. Stancu “Babes-Bolyai” University, Cluj-Napoca, Romania C. Cismașiu Tranylvania University, Brasov, Romania Keywords? Paper coordinatesD.D. Stancu, C. Cismaşiu, On…
Continuation principles for coincidences
Abstract The paper is devoted to the solvability of semilinear operator equations in Banach spaces, via continuation methods. Instead of…
Analysis of a nonlinear integral equation modelling infection diseases
Abstract To describe the spread of virus diseases with contact rate that varies seasonally, the following delay integral equation has…
Existence and approximation of positive fixed points of nonexpansive maps
Abstract ?? AuthorsRadu Precup Faculthy of Mathematics and Computer Science “Babes-Bolyai” University, Cluj-Napoca, Romania KeywordsPaper coordinatesR. Precup, Existence and approximation…
Existence theorems for nonlinear problems by continuation methods
Abstract Continuation methods of Leray-Schauder type represent an important tool in the theory of differential and integral equations. Roughly speaking,…