TY - JOUR TI - Approximation of functions of several variables by the Baskakov-Durrmeyer type operators AU - Krech, Grażyna AU - Malejki, Renata TI - Approximation of functions of several variables by the Baskakov-Durrmeyer type operators AB - In 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. VL - 2016 IS - Nauki Podstawowe Zeszyt 1-NP 2016 PY - 2016 SN - 0011-4561 C1 - 2353-737X SP - 97 EP - 105 DO - 10.4467/2353737XCT.16.142.5753 UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/approximation-of-functions-of-several-variables-by-the-baskakov-durrmeyer-type-operators KW - Baskakov-Durrmeyer type operator KW - linear operators KW - approximation order KW - Voronovskaya type theorem