A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α
The objective of this paper is to construct univariate and bivariate blending type α-Schurer-Kantorovich operators depending on two parameters α∈[0,1] and ρ>0 to approximate a class of measurable functions on [0,1+q],q>0. We present some auxiliary results and obtain the rate of convergence of...
| Main Authors: | , , , , , |
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| Format: | Article |
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Hindawi
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/106584/ |
| _version_ | 1848864785867735040 |
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| author | Ayman-Mursaleen, Mohammad Rao, Nadeem Rani, Mamta Kilicman, Adem Al-Abied, Ahmed Ahmed Hussin Ali Malik, Pradeep |
| author_facet | Ayman-Mursaleen, Mohammad Rao, Nadeem Rani, Mamta Kilicman, Adem Al-Abied, Ahmed Ahmed Hussin Ali Malik, Pradeep |
| author_sort | Ayman-Mursaleen, Mohammad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The objective of this paper is to construct univariate and bivariate blending type α-Schurer-Kantorovich operators depending on two parameters α∈[0,1] and ρ>0 to approximate a class of measurable functions on [0,1+q],q>0. We present some auxiliary results and obtain the rate of convergence of these operators. Next, we study the global and local approximation properties in terms of first- and second-order modulus of smoothness, weight functions, and by Peetre's K-functional in different function spaces. Moreover, we present some study on numerical and graphical analysis for our operators. |
| first_indexed | 2025-11-15T13:54:20Z |
| format | Article |
| id | upm-106584 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:54:20Z |
| publishDate | 2023 |
| publisher | Hindawi |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1065842024-09-26T08:10:51Z http://psasir.upm.edu.my/id/eprint/106584/ A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α Ayman-Mursaleen, Mohammad Rao, Nadeem Rani, Mamta Kilicman, Adem Al-Abied, Ahmed Ahmed Hussin Ali Malik, Pradeep The objective of this paper is to construct univariate and bivariate blending type α-Schurer-Kantorovich operators depending on two parameters α∈[0,1] and ρ>0 to approximate a class of measurable functions on [0,1+q],q>0. We present some auxiliary results and obtain the rate of convergence of these operators. Next, we study the global and local approximation properties in terms of first- and second-order modulus of smoothness, weight functions, and by Peetre's K-functional in different function spaces. Moreover, we present some study on numerical and graphical analysis for our operators. Hindawi 2023-12-31 Article PeerReviewed Ayman-Mursaleen, Mohammad and Rao, Nadeem and Rani, Mamta and Kilicman, Adem and Al-Abied, Ahmed Ahmed Hussin Ali and Malik, Pradeep (2023) A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α. Journal of Mathematics, 2023. art. no. 5245806. pp. 1-13. ISSN 2314-4629; ESSN: 2314-4785 https://www.hindawi.com/journals/jmath/2023/5245806/ 10.1155/2023/5245806 |
| spellingShingle | Ayman-Mursaleen, Mohammad Rao, Nadeem Rani, Mamta Kilicman, Adem Al-Abied, Ahmed Ahmed Hussin Ali Malik, Pradeep A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α |
| title | A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α |
| title_full | A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α |
| title_fullStr | A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α |
| title_full_unstemmed | A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α |
| title_short | A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α |
| title_sort | note on approximation of blending type bernstein-schurer-kantorovich operators with shape parameter α |
| url | http://psasir.upm.edu.my/id/eprint/106584/ http://psasir.upm.edu.my/id/eprint/106584/ http://psasir.upm.edu.my/id/eprint/106584/ |