Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method
In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method. Moreover, we determine the rate of the convergence. Furthermore, w...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3480607 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849397973242347520 |
|---|---|
| author | Naim Latif Braha Toufik Mansour Mohammad Mursaleen |
| author_facet | Naim Latif Braha Toufik Mansour Mohammad Mursaleen |
| author_sort | Naim Latif Braha |
| collection | DOAJ |
| description | In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method. Moreover, we determine the rate of the convergence. Furthermore, we establish the Voronovskaya- and Grüss-Voronovskaya-type theorems for T-statistical convergence. |
| format | Article |
| id | doaj-art-a5f9bb768b92490b8d48f5643644e37f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a5f9bb768b92490b8d48f5643644e37f2025-08-20T03:38:45ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/34806073480607Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability MethodNaim Latif Braha0Toufik Mansour1Mohammad Mursaleen2Ilirias Research Institute, rr-Janina, No-2, Ferizaj 70000, KosovoDepartment of Mathematics, University of Haifa, 3498838 Haifa, IsraelDepartment of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, TaiwanIn this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method. Moreover, we determine the rate of the convergence. Furthermore, we establish the Voronovskaya- and Grüss-Voronovskaya-type theorems for T-statistical convergence.http://dx.doi.org/10.1155/2020/3480607 |
| spellingShingle | Naim Latif Braha Toufik Mansour Mohammad Mursaleen Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method Journal of Function Spaces |
| title | Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method |
| title_full | Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method |
| title_fullStr | Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method |
| title_full_unstemmed | Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method |
| title_short | Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method |
| title_sort | some properties of kantorovich stancu type generalization of szasz operators including brenke type polynomials via power series summability method |
| url | http://dx.doi.org/10.1155/2020/3480607 |
| work_keys_str_mv | AT naimlatifbraha somepropertiesofkantorovichstancutypegeneralizationofszaszoperatorsincludingbrenketypepolynomialsviapowerseriessummabilitymethod AT toufikmansour somepropertiesofkantorovichstancutypegeneralizationofszaszoperatorsincludingbrenketypepolynomialsviapowerseriessummabilitymethod AT mohammadmursaleen somepropertiesofkantorovichstancutypegeneralizationofszaszoperatorsincludingbrenketypepolynomialsviapowerseriessummabilitymethod |