In this paper, we construct a linear positive operators q-parametric Szász Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin’s type approximation theorem for these operators and compute convergence of these operators by using the modulus of continuity. Furthermore, the rate of convergence of the operators for functions belonging to the Li...

In this paper, we introduce the concept of triangular A-statistical relative convergence for double sequences functions defined on a compactsubset real two-dimensional space. Based upon new convergencemethod, prove Korovkin-type approximation theorem. Finally, give some further developments.

In this paper, using equi-ideal convergence, we introduce a non-trivial generalization of the classical and the statistical cases of the Korovkin approximation theorem. We also compute the rates of equi-ideal convergence of sequences of positive linear operators. Furthermore, we obtain a Voronovskaya-type theorem in the equi-ideal sense for a sequence of positive linear operators constructed by...

In the present paper we introduce positive linear operators q−Bernstein Chlodowsky polynomials on a rectangular domain and obtain their Korovkin type approximation properties. The rate of convergence of this generalization is obtained by means of the modulus of continuity, and also by using the K-functional of Peetre. We obtain weighted approximation properties for these positive linear operato...

In this paper order of approximation has been improved by taking linear combination Stancu type generalization hybrid positive operators combining Beta and Baskakov basis functions. paper, we will disscuss some inverse results for our with help Fubini’s theorem.