Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant
Abstract In this study, we investigate some inequalities estimating the error of approximation for new defined tensor product kind quantum beta-type operators on rectangular regions, and we give an inequality in weighted mean. Moreover, we introduce generalized Boolean sum (GBS) operators pertaining...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02798-w |
| _version_ | 1811324477239197696 |
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| author | Esma Yıldız Özkan |
| author_facet | Esma Yıldız Özkan |
| author_sort | Esma Yıldız Özkan |
| collection | DOAJ |
| description | Abstract In this study, we investigate some inequalities estimating the error of approximation for new defined tensor product kind quantum beta-type operators on rectangular regions, and we give an inequality in weighted mean. Moreover, we introduce generalized Boolean sum (GBS) operators pertaining to tensor product kind bivariate quantum beta-type operators, and we also give inequalities estimating the error of approximation for GBS variant concerning the mixed modulus of continuity for Bögel continuous and Bögel differentiable functions, respectively. Finally, we present some applications illustrating numerical results of approximation errors with the help of Maple software. |
| first_indexed | 2024-04-13T14:16:07Z |
| format | Article |
| id | doaj.art-1640bd5af1c84b9f8e80c161cee21de2 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T14:16:07Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-1640bd5af1c84b9f8e80c161cee21de22022-12-22T02:43:39ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-05-012022112010.1186/s13660-022-02798-wSome inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variantEsma Yıldız Özkan0Department of Mathematics, Gazi UniversityAbstract In this study, we investigate some inequalities estimating the error of approximation for new defined tensor product kind quantum beta-type operators on rectangular regions, and we give an inequality in weighted mean. Moreover, we introduce generalized Boolean sum (GBS) operators pertaining to tensor product kind bivariate quantum beta-type operators, and we also give inequalities estimating the error of approximation for GBS variant concerning the mixed modulus of continuity for Bögel continuous and Bögel differentiable functions, respectively. Finally, we present some applications illustrating numerical results of approximation errors with the help of Maple software.https://doi.org/10.1186/s13660-022-02798-wq-Beta functionq-Improper integralApproximation of operatorsRate of convergenceBögel continuityBögel differentiability |
| spellingShingle | Esma Yıldız Özkan Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant Journal of Inequalities and Applications q-Beta function q-Improper integral Approximation of operators Rate of convergence Bögel continuity Bögel differentiability |
| title | Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant |
| title_full | Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant |
| title_fullStr | Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant |
| title_full_unstemmed | Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant |
| title_short | Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant |
| title_sort | some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta type operators and pertaining to gbs variant |
| topic | q-Beta function q-Improper integral Approximation of operators Rate of convergence Bögel continuity Bögel differentiability |
| url | https://doi.org/10.1186/s13660-022-02798-w |
| work_keys_str_mv | AT esmayıldızozkan someinequalitiesandnumericalresultsestimatingerrorofapproximationfortensorproductkindbivariatequantumbetatypeoperatorsandpertainingtogbsvariant |