Construction of Baskakov-type operators by wavelets

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Approximation of Some Classes of Functions by Landau Type Operators

This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine functions as fixed points. We focus to reveal approximation properties both in Lp spaces and in weighted Lp spaces (1 ? p< ?). Also, we give an extension of the operators to approximate real-valued vector functions. In this case, the study pursues the approximation of continuous functions on convex compacts. The evaluation of the rate of convergence in one and multidimensional cases is performed by using adequate moduli of smoothness. © 2020, Springer Nature Switzerland AG

On generalized picard integral operators

In the paper, we constructed a class of linear positive operators generalizing Picard integral operators which preserve the functions eµx and e2µx, µ > 0. We show that these operators are approximation processes in a suitable weighted spaces. The uniform weighted approximation order of constructed operators is given via exponential weighted modulus of smoothness.We also obtain their shape preserving properties considering exponential convexity. © Springer Nature Singapore Pte Ltd. 2018