Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials
The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials. In order to investigate the approximation properties of these operators, first we estimate the moments and obtain the basic...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/9657489 |
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| author | Md. Nasiruzzaman A. F. Aljohani |
| author_facet | Md. Nasiruzzaman A. F. Aljohani |
| author_sort | Md. Nasiruzzaman |
| collection | DOAJ |
| description | The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials. In order to investigate the approximation properties of these operators, first we estimate the moments and obtain the basic results. Further, we study the approximation by the use of modulus of continuity in the spaces of the Lipschitz functions, Peetres K-functional, and weighted modulus of continuity. Moreover, we study A-statistical convergence of operators and approximation properties of the bivariate case. |
| format | Article |
| id | doaj-art-0b9b2ef0ab4042c19b22e165a56cdb5a |
| 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-0b9b2ef0ab4042c19b22e165a56cdb5a2025-02-03T06:06:55ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/96574899657489Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell PolynomialsMd. Nasiruzzaman0A. F. Aljohani1Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box-4279, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O. Box-4279, Tabuk 71491, Saudi ArabiaThe main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials. In order to investigate the approximation properties of these operators, first we estimate the moments and obtain the basic results. Further, we study the approximation by the use of modulus of continuity in the spaces of the Lipschitz functions, Peetres K-functional, and weighted modulus of continuity. Moreover, we study A-statistical convergence of operators and approximation properties of the bivariate case.http://dx.doi.org/10.1155/2020/9657489 |
| spellingShingle | Md. Nasiruzzaman A. F. Aljohani Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials Journal of Function Spaces |
| title | Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials |
| title_full | Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials |
| title_fullStr | Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials |
| title_full_unstemmed | Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials |
| title_short | Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials |
| title_sort | approximation by szasz jakimovski leviatan type operators via aid of appell polynomials |
| url | http://dx.doi.org/10.1155/2020/9657489 |
| work_keys_str_mv | AT mdnasiruzzaman approximationbyszaszjakimovskileviatantypeoperatorsviaaidofappellpolynomials AT afaljohani approximationbyszaszjakimovskileviatantypeoperatorsviaaidofappellpolynomials |