Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials
The purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators. We study the global approximation in terms of uniform modulus...
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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/10.1155/2020/8863664 |
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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 purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators. We study the global approximation in terms of uniform modulus of smoothness and calculate the local direct theorems of the rate of convergence with the help of Lipschitz-type maximal functions in weighted space. Furthermore, the Voronovskaja-type approximation theorems of this new operator are also presented. |
| format | Article |
| id | doaj-art-f9a7eceea1b74453a91dbce9ff40f3f6 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f9a7eceea1b74453a91dbce9ff40f3f62025-08-20T02:22:43ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88636648863664Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the 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 purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators. We study the global approximation in terms of uniform modulus of smoothness and calculate the local direct theorems of the rate of convergence with the help of Lipschitz-type maximal functions in weighted space. Furthermore, the Voronovskaja-type approximation theorems of this new operator are also presented.http://dx.doi.org/10.1155/2020/8863664 |
| spellingShingle | Md. Nasiruzzaman A. F. Aljohani Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials Journal of Function Spaces |
| title | Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials |
| title_full | Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials |
| title_fullStr | Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials |
| title_full_unstemmed | Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials |
| title_short | Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials |
| title_sort | approximation by parametric extension of szasz mirakjan kantorovich operators involving the appell polynomials |
| url | http://dx.doi.org/10.1155/2020/8863664 |
| work_keys_str_mv | AT mdnasiruzzaman approximationbyparametricextensionofszaszmirakjankantorovichoperatorsinvolvingtheappellpolynomials AT afaljohani approximationbyparametricextensionofszaszmirakjankantorovichoperatorsinvolvingtheappellpolynomials |