<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}

Publicado en línea: 28 dic 2020

Páginas: 255 - 265

Recibido: 30 ene 2020

Aceptado: 29 feb 2020

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

Palabras clave
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}

Publicado en línea: 28 dic 2020

Páginas: 255 - 265

Recibido: 30 ene 2020

Aceptado: 29 feb 2020

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

Palabras claveApproximation, 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}

Palabras clave
Approximation, Linear and positive operators, Voronovskaya type thorem