Grażyna Krech
Czasopismo Techniczne, Nauki Podstawowe Zeszyt 3 NP (17) 2014, 2014, s. 31 - 38
https://doi.org/10.4467/2353737XCT.14.310.3398This paper presents a study of the approximation properties of the Poisson integral for Hermite expansions in the space Lp. The rate of convergence of functions of two variables by these integrals is established.
Grażyna Krech
Czasopismo Techniczne, Nauki Podstawowe Zeszyt 1-NP 2016, 2016, s. 97 - 105
https://doi.org/10.4467/2353737XCT.16.142.5753In this paper we introduce some linear positive operators of the Baskakov-Durrmeyer type in the space of uniformly continuous and bounded functions of several variables. The theorem on the degree of the convergence is established. Moreover, we give the Voronovskaya type formula for these operators.
Grażyna Krech
Czasopismo Techniczne, Nauki Podstawowe Zeszyt 1-NP 2016, 2016, s. 85 - 96
https://doi.org/10.4467/2353737XCT.16.142.5753In this paper we introduce some linear positive operators of the Baskakov-Durrmeyer type in the space of continuous functions of two variables. The theorems on convergence and the degree of approximation are established.