This paper deals with the Chlodowsky type q-Jakimovski-Leviatan operators. We …rst establish approximation properties and rate of convergence results for these operators. Our main purpose is to give a theorem on the rate of convergence of the r th q derivative of the operators.
Abstract. In this paper we introduce Stancu type generalization of Gamma operators based on the concept of q -integers. We first establish local approximation theorems for these operators. Next, we investigate the weighted approximation properties and give an estimate for the rate of convergence using classical modulus of continuity. Lastly, we obtain a Voronovskaya type theorem.Mathematics subject classification (2010): 41A25, 41A36.
Highlights• This paper focuses on a generalization of Păltănea operators.• Approximation properties of the operators are established with the help of Korovkin's theorem.• The convergence of the operators are examined in the weighted space of functions.• Weighted modulus of continuity is used for the rate of convergence of the operators.
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