### Electronic Research Archive

2020, Issue 2: 721-738. doi: 10.3934/era.2020037

# Approximation by multivariate Baskakov–Kantorovich operators in Orlicz spaces

• Received: 01 January 2020 Revised: 01 March 2020
• Primary: 41A17; Secondary: 41A36

• Utilizing some properties of multivariate Baskakov–Kantorovich operators and using $K$-functional and a decomposition technique, the authors find two equivalent theorems between the $K$-functional and modulus of smoothness, and obtain a direct theorem in the Orlicz spaces.

Citation: Ling-Xiong Han, Wen-Hui Li, Feng Qi. Approximation by multivariate Baskakov–Kantorovich operators in Orlicz spaces[J]. Electronic Research Archive, 2020, 28(2): 721-738. doi: 10.3934/era.2020037

### Related Papers:

• Utilizing some properties of multivariate Baskakov–Kantorovich operators and using $K$-functional and a decomposition technique, the authors find two equivalent theorems between the $K$-functional and modulus of smoothness, and obtain a direct theorem in the Orlicz spaces.

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