The Voronovskaya theorem for some linear positive operators of functions of two variables


Abstract


We give the Voronovskaya theorem for some operators L_{m,n}<sup>{i}</sup> of the Szasz-Mirakjan type defined for functions of two variables belonging to polynomial or exponential weighted spaces. Some approximation properties of these operators for functions of one variable are given in [1]-[5].

DOI Code: 10.1285/i15900932v16n1p145

Keywords: Linear positive operator; Voronovskaya theorem

Classification: 41A26

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