In this paper, a Dunkl type generalization of Stancu type q-Szasz-Mirakjan-Kantorovich positive linear operators ´ of the exponential function is introduced. With the help of well-known Korovkin’s theorem, some approximation properties and also the rate of convergence for these operators in terms of the classical and second-order modulus of continuity, Peetre’s K-functional and Lipschitz functions are investigated.

The purpose of this paper is to construct a (p, q)-analogue of Bernstein-Schurer-Stancu type GBS (generalized Boolean sum) operators for approximating B-continuous and B-differentiable functions. We also establish uniform convergence theorem and estimate the degree of approximation of B-continuous and B-differentiable functions. MSC: Primary 41A10; 41A25; secondary 41A36

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In the present paper, we construct a new family of Bernstein type operators on infinite interval by using exponential function a x. We study some approximation results for these new operators on the interval [0, ∞).

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