Approximation by ( p , q ) -Lupaş-Schurer-Kantorovich operators.
Copyright policy )Approximation by ( p , q ) -Lupaş-Schurer-Kantorovich operators.
In the current paper, we examine the ( p , q ) -analogue of Kantorovich type Lupaş-Schurer operators with the help of ( p , q ) -Jackson integral. Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz class function and by means of Peetre's K-functionals based on Korovkin theorem. Moreover, we illustrate the approximation of the ( p , q ) -Lupaş-Schurer-Kantorovich operators to appointed functions by the help of Matlab algorithm and then show the comparison of the convergence of these operators with Lupaş-Schurer operators based on ( p , q ) -integers.
Approximation by polynomials, Approximation by positive operators, Approximation by operators (in particular, by integral operators), \((p,q)\)-integers, Rate of convergence, degree of approximation, Convergence and divergence of series and sequences of functions, Korovkin's approximation theorem, local approximation, rate of convergence
Approximation by polynomials, Approximation by positive operators, Approximation by operators (in particular, by integral operators), \((p,q)\)-integers, Rate of convergence, degree of approximation, Convergence and divergence of series and sequences of functions, Korovkin's approximation theorem, local approximation, rate of convergence
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