Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties

Abstract

Abstract In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators. We also study the Voronovskaya-type theorem and weighted approximation.

Keywords

• Chlodowsky-type Szász operators
• Boas–Buck-type polynomials
• Bounded variation
• Korovkin-type theorem
• Voronovskaya-type theorem
• Grüss–Vornovskaya-type theorem