Analyzing New Estimations to the Best Approximation

Abstract

A method to compute the best approximation is the main purpose of this paper. The realisation of approximation theory is critical in analysis. Our papers primary benefit is that it is built on Egoroffs principle, which we investigate in our theorems. We presented the findings of research on approximation using Remez algorithm. This algorithm is an effective tool for analysing the approximations used in our research.

Keywords: Best approximation; Modulus of smoothness; Jackson type estimates.

2010 Mathematics Subject Classification. 41A10; 41A25