Extension of Phillips type \(q\)-Bernstein operators on triangle with one curved side (Q6613113)

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scientific article; zbMATH DE number 7920953
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Extension of Phillips type \(q\)-Bernstein operators on triangle with one curved side
scientific article; zbMATH DE number 7920953

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    Extension of Phillips type \(q\)-Bernstein operators on triangle with one curved side (English)
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    1 October 2024
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    The author established approximation properties of Phillips type \(q\)-Bernstein operators on a triangle with one curved side. Their products and their Boolean sums are defined. Interpolation properties of all these operators are discussed. Error bounds and the remainder terms are computed using modulus of continuity. Finally some graphs are added to demonstrate consistency in theoretical findings.
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    Phillips \(q\)-Bernstein operators
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    triangles with one curved side
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    product operators
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    Boolean sum operators
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    Peano's theorem
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    error estimation
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