Phillips-Type q-Bernstein Operators on Triangles
The purpose of the paper is to introduce a new analogue of Phillips-type Bernstein operators Bm,qufu,v and Bn,qvfu,v, their products Pmn,qfu,v and Qnm,qfu,v, their Boolean sums Smn,qfu,v and Tnm,qfu,v on triangle Th, which interpolate a given function on the edges, respectively, at the vertices of t...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6637893 |
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| author | Asif Khan M. S. Mansoori Khalid Khan M. Mursaleen |
| author_facet | Asif Khan M. S. Mansoori Khalid Khan M. Mursaleen |
| author_sort | Asif Khan |
| collection | DOAJ |
| description | The purpose of the paper is to introduce a new analogue of Phillips-type Bernstein operators Bm,qufu,v and Bn,qvfu,v, their products Pmn,qfu,v and Qnm,qfu,v, their Boolean sums Smn,qfu,v and Tnm,qfu,v on triangle Th, which interpolate a given function on the edges, respectively, at the vertices of triangle using quantum analogue. Based on Peano’s theorem and using modulus of continuity, the remainders of the approximation formula of corresponding operators are evaluated. Graphical representations are added to demonstrate consistency to theoretical findings. It has been shown that parameter q provides flexibility for approximation and reduces to its classical case for q=1. |
| format | Article |
| id | doaj-art-c9f0e81af0f443999d4dbc35937a8d37 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c9f0e81af0f443999d4dbc35937a8d372025-02-03T06:01:48ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66378936637893Phillips-Type q-Bernstein Operators on TrianglesAsif Khan0M. S. Mansoori1Khalid Khan2M. Mursaleen3Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaSchool of Computer and System Sciences, SC&SS, J.N.U., New Delhi 110067, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaThe purpose of the paper is to introduce a new analogue of Phillips-type Bernstein operators Bm,qufu,v and Bn,qvfu,v, their products Pmn,qfu,v and Qnm,qfu,v, their Boolean sums Smn,qfu,v and Tnm,qfu,v on triangle Th, which interpolate a given function on the edges, respectively, at the vertices of triangle using quantum analogue. Based on Peano’s theorem and using modulus of continuity, the remainders of the approximation formula of corresponding operators are evaluated. Graphical representations are added to demonstrate consistency to theoretical findings. It has been shown that parameter q provides flexibility for approximation and reduces to its classical case for q=1.http://dx.doi.org/10.1155/2021/6637893 |
| spellingShingle | Asif Khan M. S. Mansoori Khalid Khan M. Mursaleen Phillips-Type q-Bernstein Operators on Triangles Journal of Function Spaces |
| title | Phillips-Type q-Bernstein Operators on Triangles |
| title_full | Phillips-Type q-Bernstein Operators on Triangles |
| title_fullStr | Phillips-Type q-Bernstein Operators on Triangles |
| title_full_unstemmed | Phillips-Type q-Bernstein Operators on Triangles |
| title_short | Phillips-Type q-Bernstein Operators on Triangles |
| title_sort | phillips type q bernstein operators on triangles |
| url | http://dx.doi.org/10.1155/2021/6637893 |
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