Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Approximation Properties of Generalized Szász-Type Operators

Arun Kajla

pp. 549-563

Abstract

In the present paper, we study some approximation properties of the generalized Szász type operators introduced by V. Miheşan (Creat. Math. Inf. 17:466–472, 2008). We present a quantitative Voronovskaya-type theorem, local approximation theorem by means of second-order modulus of continuity and weighted approximation for these operators. The rate of convergence for differential functions whose derivatives are of bounded variation is also obtained.