On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators
We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α∈0,1 in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness. We investigate the local approximation...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4190732 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850166424026218496 |
|---|---|
| author | Ming-Yu Chen Md Nasiruzzaman Mohammad Ayman Mursaleen Nadeem Rao Adem Kilicman |
| author_facet | Ming-Yu Chen Md Nasiruzzaman Mohammad Ayman Mursaleen Nadeem Rao Adem Kilicman |
| author_sort | Ming-Yu Chen |
| collection | DOAJ |
| description | We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α∈0,1 in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness. We investigate the local approximation findings for these sequences of positive linear operators utilising Peetre’s K-functional, Lipschitz class, and second-order modulus of smoothness. The approximation results are then obtained in weighted space. Finally, for these operators q-statistical convergence is also investigated. |
| format | Article |
| id | doaj-art-e118f6aaab504efa8eb7d4a76d6d030d |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e118f6aaab504efa8eb7d4a76d6d030d2025-08-20T02:21:28ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4190732On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma OperatorsMing-Yu Chen0Md Nasiruzzaman1Mohammad Ayman Mursaleen2Nadeem Rao3Adem Kilicman4Fujian Provincial Key Laboratory of Data-Intensive Computing Key Laboratory of Intelligent Computing and Information ProcessingComputational & Analytical Mathematics and Their Applications Research GroupSchool of Information and Physical SciencesDepartment of MathematicsDepartment of Mathematics and StatisticsWe construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α∈0,1 in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness. We investigate the local approximation findings for these sequences of positive linear operators utilising Peetre’s K-functional, Lipschitz class, and second-order modulus of smoothness. The approximation results are then obtained in weighted space. Finally, for these operators q-statistical convergence is also investigated.http://dx.doi.org/10.1155/2022/4190732 |
| spellingShingle | Ming-Yu Chen Md Nasiruzzaman Mohammad Ayman Mursaleen Nadeem Rao Adem Kilicman On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators Journal of Mathematics |
| title | On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators |
| title_full | On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators |
| title_fullStr | On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators |
| title_full_unstemmed | On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators |
| title_short | On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators |
| title_sort | on shape parameter α based approximation properties and q statistical convergence of baskakov gamma operators |
| url | http://dx.doi.org/10.1155/2022/4190732 |
| work_keys_str_mv | AT mingyuchen onshapeparameterabasedapproximationpropertiesandqstatisticalconvergenceofbaskakovgammaoperators AT mdnasiruzzaman onshapeparameterabasedapproximationpropertiesandqstatisticalconvergenceofbaskakovgammaoperators AT mohammadaymanmursaleen onshapeparameterabasedapproximationpropertiesandqstatisticalconvergenceofbaskakovgammaoperators AT nadeemrao onshapeparameterabasedapproximationpropertiesandqstatisticalconvergenceofbaskakovgammaoperators AT ademkilicman onshapeparameterabasedapproximationpropertiesandqstatisticalconvergenceofbaskakovgammaoperators |