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Stability of a generalization of the Fréchet functional equation

100%

Malejki R.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2015

tom 14

We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.

On the Baskakov-Durrmeyer type operators

63%

Malejki R., Wachnicki E.

Commentationes Mathematicae

2014

tom 54

nr 1

In this paper we will study some approximate properties of Baskakov-Durrmeyer type operators \(M_n^{\alpha,a}\). We determine the rate of convergence and prove the Voronovskaya type theorem for those operators.

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Commentationes Mathematicae

2 Malejki R.

1 Wachnicki E.

1 2015

1 2014

Wyniki wyszukiwania

Stability of a generalization of the Fréchet functional equation

On the Baskakov-Durrmeyer type operators