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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2314-8896 2314-8888 |