Sequences of linear operators related to Cesàro-convergent sequences
Abstract Given a Cesaro-convergent sequence of real numbers \((a_{n}% )_{n\in \mathbb{N}}\), a sequence \((\varphi_{n})_{n\in \mathbb{N}}\) of operators is defined on…
2002
A simple proof of the second mean value theorem for the Lebesgue integral
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania Valeriu Anisiu Babes-Bolyai Universitatis Cluj-Napoca, Romania Keywords? Paper…
Maximal complexity of finite words
Abstract The subword complexity of a finite \(\omega\) of length \(N\) is a function which associates to each \(n\leq N\)…
Finite words with special complexity properties
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Cluj-Napoca, Romanian Academy Keywords? Paper coordinatesM.-C. Anisiu, Finite words with special…
Extension and approximation of semi-Lipschitz functions on quasi-metric linear spaces
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, Extension and approximation of…
On the extremal semi-Lipschitz function
Abstract The extremal elements of the unit balls of Banach spaces play an important role in the study of the…
A Phelps type result for spaces with asymmetric norms
Abstract If \((X,||\cdot|)\) is a linear space with asymmetric norm and \(Y\) is a \(X\), for every \(f\in Y_{+}^{\ast}\) (the…
On approximation properties of Balázs-Szabados operators their Kantorovich extension
Abstract In this paper we deal with a sequence of positive linear operators \(\ R_{n}^{\left[ \beta \right] }\) approximating functions…
Stancu modified operators revisited
Abstract In this paper we construct a general positive approximation process representing an integral form in Kantorovich sense of the…
Approximation operators – solutions and questions
Abstract The paper gartes some results concerning linear approximation operators and it raises three open problems. AuthorsOctavian Agratini Department of…