Approximation Properties of λ-Gamma Operators Based on q-Integers
In the present paper, we will introduce λ-Gamma operators based on q-integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated. Then, we discuss some local approximation properties of these operators by means of modulus of c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5710510 |
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| _version_ | 1850157085960962048 |
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| author | Wen-Tao Cheng Xiao-Jun Tang |
| author_facet | Wen-Tao Cheng Xiao-Jun Tang |
| author_sort | Wen-Tao Cheng |
| collection | DOAJ |
| description | In the present paper, we will introduce λ-Gamma operators based on q-integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated. Then, we discuss some local approximation properties of these operators by means of modulus of continuity and Peetre K-functional. And the rate of convergence and weighted approximation for these operators are researched. Furthermore, we investigate the Voronovskaja type theorems including the quantitative q-Voronovskaja type theorem and q-Grüss-Voronovskaja theorem. |
| format | Article |
| id | doaj-art-335eadca51db441ba43ee5c3dfef6773 |
| 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-335eadca51db441ba43ee5c3dfef67732025-08-20T02:24:17ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/57105105710510Approximation Properties of λ-Gamma Operators Based on q-IntegersWen-Tao Cheng0Xiao-Jun Tang1School of Mathematics and Physics, Anqing Normal University, Anhui 246133, ChinaSchool of Mathematics and Physics, Jinggangshan University, Ji’an 343009, ChinaIn the present paper, we will introduce λ-Gamma operators based on q-integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated. Then, we discuss some local approximation properties of these operators by means of modulus of continuity and Peetre K-functional. And the rate of convergence and weighted approximation for these operators are researched. Furthermore, we investigate the Voronovskaja type theorems including the quantitative q-Voronovskaja type theorem and q-Grüss-Voronovskaja theorem.http://dx.doi.org/10.1155/2020/5710510 |
| spellingShingle | Wen-Tao Cheng Xiao-Jun Tang Approximation Properties of λ-Gamma Operators Based on q-Integers Journal of Function Spaces |
| title | Approximation Properties of λ-Gamma Operators Based on q-Integers |
| title_full | Approximation Properties of λ-Gamma Operators Based on q-Integers |
| title_fullStr | Approximation Properties of λ-Gamma Operators Based on q-Integers |
| title_full_unstemmed | Approximation Properties of λ-Gamma Operators Based on q-Integers |
| title_short | Approximation Properties of λ-Gamma Operators Based on q-Integers |
| title_sort | approximation properties of λ gamma operators based on q integers |
| url | http://dx.doi.org/10.1155/2020/5710510 |
| work_keys_str_mv | AT wentaocheng approximationpropertiesoflgammaoperatorsbasedonqintegers AT xiaojuntang approximationpropertiesoflgammaoperatorsbasedonqintegers |