Weighted approximation by generalized Baskakov operators reproducing affine functions

Key Points

• The new generalized baskakov operators successfully reproduce affine functions, offering a significant advancement in approximation methods.
• The rate of convergence for the approximation process in polynomial weighted spaces is established, revealing efficient behavior.
• The analysis includes a voronovskaja type result, providing deeper insights into the convergence properties of the operators.
• These findings may enable improved tools in approximation theory, addressing needs in fields requiring function estimation.