<abstract xmlns="http://www.w3.org/1999/xhtml">In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, <italic>φ</italic>} and {1, <italic>φ</italic>2} such that <italic>φ</italic> ∈ <italic>C</italic>[0, 1] are presented. Then we present different types of operators by choosing different functions and values. Finally, Voronovskaya type theorems are given for this newly defined sequences of linear and positive operators.</abstract>

In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} such that φ ∈ C[0, 1] are presented. Then we present different types of operators by choosing different functions and values. Finally, Voronovskaya type theorems are given for this newly defined sequences of linear and positive operators.

Approximation of functions with linear positive operators which fix {1, <italic>φ</italic>} and {1, <italic>φ</italic>2}

Department of Mathematics, Faculty of Arts and Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Approximation of functions with linear positive operators which fix {1, } and {1, }

In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} such that φ ∈ C[0,...

Approximation of functions with linear positive operators which fix {1, φ} and {1, φ²}

Published Online: Dec 28, 2020

Page range: 255 - 265

Received: Jan 30, 2020

Accepted: Feb 29, 2020

DOI: https://doi.org/10.2478/auom-2020-0045

Keywords
Approximation, Linear and positive operators, Voronovskaya type thorem

© 2020 Fuat Usta, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Approximation of functions with linear positive operators which fix {1, φ} and {1, φ2}

Published Online: Dec 28, 2020

Page range: 255 - 265

Received: Jan 30, 2020

Accepted: Feb 29, 2020

DOI: https://doi.org/10.2478/auom-2020-0045

KeywordsApproximation, Linear and positive operators, Voronovskaya type thorem

© 2020 Fuat Usta, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Approximation of functions with linear positive operators which fix {1, φ} and {1, φ²}

Keywords
Approximation, Linear and positive operators, Voronovskaya type thorem