The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials
We have constructed a new sequence of positive linear operators with two variables by using Szasz-Kantorovich-Chlodowsky operators and Brenke polynomials. We give some inequalities for the operators by means of partial and full modulus of continuity and obtain a Lipschitz type theorem. Furthermore,...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/3658389 |
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| author | Behar Baxhaku Ramadan Zejnullahu Artan Berisha |
| author_facet | Behar Baxhaku Ramadan Zejnullahu Artan Berisha |
| author_sort | Behar Baxhaku |
| collection | DOAJ |
| description | We have constructed a new sequence of positive linear operators with two variables by using Szasz-Kantorovich-Chlodowsky operators and Brenke polynomials. We give some inequalities for the operators by means of partial and full modulus of continuity and obtain a Lipschitz type theorem. Furthermore, we study the convergence of Szasz-Kantorovich-Chlodowsky-Brenke operators in weighted space of function with two variables and estimate the rate of approximation in terms of the weighted modulus of continuity. |
| format | Article |
| id | doaj-art-ac8756852c614371b96382dca2da08ed |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ac8756852c614371b96382dca2da08ed2025-02-03T01:31:21ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/36583893658389The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type PolynomialsBehar Baxhaku0Ramadan Zejnullahu1Artan Berisha2Department of Mathematics, University of Prishtina, Mother Teresa, 10000 Prishtina, KosovoDepartment of Mathematics, University of Prishtina, Mother Teresa, 10000 Prishtina, KosovoDepartment of Mathematics, University of Prishtina, Mother Teresa, 10000 Prishtina, KosovoWe have constructed a new sequence of positive linear operators with two variables by using Szasz-Kantorovich-Chlodowsky operators and Brenke polynomials. We give some inequalities for the operators by means of partial and full modulus of continuity and obtain a Lipschitz type theorem. Furthermore, we study the convergence of Szasz-Kantorovich-Chlodowsky-Brenke operators in weighted space of function with two variables and estimate the rate of approximation in terms of the weighted modulus of continuity.http://dx.doi.org/10.1155/2018/3658389 |
| spellingShingle | Behar Baxhaku Ramadan Zejnullahu Artan Berisha The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials Advances in Mathematical Physics |
| title | The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials |
| title_full | The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials |
| title_fullStr | The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials |
| title_full_unstemmed | The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials |
| title_short | The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials |
| title_sort | approximation of bivariate blending variant szasz operators based brenke type polynomials |
| url | http://dx.doi.org/10.1155/2018/3658389 |
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