Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator

Abstract EN

We first give the unboundedness of multivariate Baskakov operators with the normal weighted norm.

By introducing new norms, using the multivariate decomposition technique and the modulus of smoothness with Jacobi weight, the upper bound estimation of multivariate Baskakov operators is obtained.

The obtained results not only generalize the corresponding ones for multivariate Baskakov operators without weights, but also give the approximation accuracy with the Jacobi weights approximation.