Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Applicationes Mathematicae / Online First articles

Abstract

A new class of positive linear operators is constructed by incorporating an exponential weight function with the aim of enhancing approximation performance. The convergence behavior of the proposed operators is examined using Korovkin’s theorem, and a Voronovskaja-type asymptotic formula is derived to assess the convergence rate. Comparative numerical experiments with classical operators, including Baskakov and Bernstein operators, are conducted. The results indicate that the proposed operators provide significantly improved approximation accuracy over a wider range of test functions.