Extension of semi Lipschitz function on quasi-metric spaces
Abstract The aim of this note is to prove an extension theorem for semi-Lipschitz real functions defined on quasi-metric spaces,…
2001
Extension of convex semi-Lipschitz functions on quasi-metric linear spaces
Abstract In this paper one shows that a convex semi-Lipschitz functions defined on a convex subset of a quasi-metric linear…
Binomial polynomials and their applications in Approximation Theory
Abstract In this paper we are concerned with the sequences of polynomials of binomial type. In particular we point out…
Korovkin type error estimates for Meyer-Konig and Zeller operators
Abstract In this paper we construct a linear and positive approximation process of discrete type which includes as a particular…
An approximation process of Kantorovich type
Abstract The paper is devoted to the study of an approximation process on an unbounded interval representing an integral form…
Continuation method for contractive maps on spaces endowed with vector-valued metrics
Abstract A continuation result for contractive maps on spaces endowed with vector-valued metrics is established. AuthorsRadu Precup Department of Mathematics,…
Inequalities and compactness
AbstractWe use the inequalities of Holder, Gronwall and Wirtinger type to establish sufficient conditions for that the null function is…
The continuation principle for generalized contractions
Abstract A continuation principle for contractions on spaces endowed with vector-valued metrics is presented together with an application to Hamerstein…
Existence criteria for integral equations in Banach spaces
Abstract A Caratheodory existence theory for nonlinear Volterra and Urysohn integral equations in Banach spaces is presented using a Monch…
Convexity and quadratic monotone approximation in delay differential equations
AbstractIn this paper the method of quasiliniarization, an application of Newton’s method, recently generalized in [1], is used for the…