Some results on modified Szász–Mirakjan operators

Abstract

Listen

Translate article

In this paper we study the mixed summation-integral type operators having Szász and Beta basis functions. We extend the study of Gupta and Noor [V. Gupta, M.A. Noor, Convergence of derivatives for certain mixed Szász–Beta operators, J. Math. Anal. Appl. 321 (1) (2006) 1–9] and obtain some direct results in local approximation without and with iterative combinations. In the last section are established direct global approximation theorems.