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Extension of bilinear functionals and best approximation in 2-normed space

3 years ago

Abstract The paper investigates the relations between the extension properties of bounded bilinear functionals and the approximation properties in 2-normed…

On the derivative-interpolating spline functions of even degree

3 years ago

Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, On the derivative-interpolating spline functions…

A Galerkin Methods for a singularly perturbed bilocal problem

3 years ago

Abstract A bilocal singularly perturbed problem is solved using Galerkin’s method in a space in which the test functions are…

On a problem of B.A. Karpilovskaya

3 years ago

Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, On a problem of B.A.…

Extension of Lipschitz functions and best approximation

3 years ago

Abstract The aim of this paper is to present various extension results for Lipschitz functions and to put in evidence…

Some remarks concerning norm preserving extension and best approximation

3 years ago

Abstract Let \(X,Y\) be two normed spaces, \(X_{1}\) a subspace of \(X\) and \(A:X \rightarrow Y\) a continuous linear operator.…

Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces

3 years ago

Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, Uniqueness of extension of semi-Lipschitz…

Extension of semi Lipschitz function on quasi-metric spaces

3 years ago

Abstract The aim of this note is to prove an extension theorem for semi-Lipschitz real functions defined on quasi-metric spaces,…

Extension of convex semi-Lipschitz functions on quasi-metric linear spaces

3 years ago

Abstract In this paper one shows that a convex semi-Lipschitz functions defined on a convex subset of a quasi-metric linear…

On the extremal semi-Lipschitz function

3 years ago

Abstract The extremal elements of the unit balls of Banach spaces play an important role in the study of the…

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