On two classes of approximation processes of integral type

2 years ago

(original), Approximation Theory, Linear and positive approximation operators, not-at-ICTP, paper

Abstract

The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The new operators reproduce both constants and a given exponential function. Approximation properties in polynomial weighted spaces are investigated and the speed of convergence is measured using a certain weighted modulus of smoothness. Also, the asymptotic behavior of the integral operators are established. Finally, aspects on generalized convexity are analyzed.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Linear positive operator · Picard operator · Gauss operator · Weighted space · Voronovskaja formula

Paper coordinates

O. Agratini, A. Aral, E. Deniz, On two classes of approximation processes of integral type, Positivity, 21 (2017), pp. 1189-1199, https://doi.org/10.1007/s11117-016-0460-y

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About this paper

Journal

Positivity

Publisher Name

Springer

DOI

https://doi.org/10.1007/s11117-016-0460-y

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Online ISSN

google scholar link

2017