Abstract
Abstract Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators. These are of Bernstein type, of Favard-Szász-Mirakjan type, of Baskakov type, of sampling type, of Lagrange interpolation type and of Hermite-Fejér interpolation type. Our results are both: under the presence of smoothness and without any smoothness assumption on the function to be approximated which fulfills a convexity assumption.
Highlights
Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators. These are of Bernstein type, of Favard-Szász-Mirakjan type, of Baskakov type, of sampling type, of Lagrange interpolation type and of Hermite-Fejér interpolation type
In this article we study under convexity quantitatively the approximation properties of multivariate Maxproduct operators to the unit
We give general results regarding the convergence to the unit of multivariate positive sublinear operators under convexity
Summary
In this article we study under convexity quantitatively the approximation properties of multivariate Maxproduct operators to the unit. These are special cases of multivariate positive sublinear operators. We give general results regarding the convergence to the unit of multivariate positive sublinear operators under convexity. Special emphasis is given to our study about approximation under the presence of smoothness. Let Q be a compact and convex subset of Rk, k ∈ N − {1}, and let x0 := (x01, ..., x0k) ∈ Qo be fixed. Let Q be a compact and convex subset of Rk, k ∈ N − {1}, x0 ∈ Q fixed, f ∈ Cn (Q).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
