Approximation by multivariate Baskakov–Durrmeyer operators in Orlicz spaces

Abstract

Abstract Employing some properties of multivariate Baskakov–Durrmeyer operators and utilizing modified K-functional and a decomposition technique, the authors obtain the direct theorem and weak type inverse theorem in the Orlicz spaces.

Keywords

• Direct theorem
• Weak type inverse theorem
• Orlicz space
• Jensen’s inequality
• K-functional
• Multivariate Baskakov–Durrmeyer operator