The equivalence between the T-stabilities of Picard-Banach and Mann-Ishikawa iterations
Abstract We show that T-stability of Picard-Banach and Mann-Ishikawa iterations are equivalent. AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical…
2008
Characterization for the convergence of Krasnoselskij iteration for non-Lipschitzian operators
Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy B.E. Roades Department of Mathematics, Indiana University, Bloomington,…
Two-dimensional total palindrome complexity
Abstract We initiate a comparative study of the properties of total palindrome complexity for binary words and arrays. From this…
O metodă de tip Aitken-Steffensen-Hermite de ordinul 3
Abstract AuthorsIon Păvăloiu ”Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy Keywords? Paper coordinatesI. Păvăloiu, O metodă de tip Aitken-Steffensen-Hermite…
On a theorem of Baire about lower semi-continuous functions
Abstract A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by…
Inequalities and approximation theory
Abstract The purpose of this paper is twofold. Firstly, we present an equivalence property involving isotonic linear functionals. Secondly, by…
On the iterates of a class of summation-type linear positive operators
AbstractThis note is focused upon positive linear operators which preserve the quadratic test function. By using contraction principle, we study…
On approximating operators preserving certain polynomials
Abstract The paper centers around a general class of discrete linear positive operators depending on a real parameter \(\alpha \geq…
On certain q-analogues of the Bernstein operators
Abstract In this note we study the limit of iterates of Lupas q-analogue of the Bernstein operators. Also, we introduce…
Nonresonance theory for semilinear operator equations under regularity conditions
AbstractA general nonresonance theory of semilinear operator equations under regularity conditions is developed. Existence of weak solutions (in the energetic…