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Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup - MaRDI portal

Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup (Q6119214)

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scientific article; zbMATH DE number 7811285
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Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup
scientific article; zbMATH DE number 7811285

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    Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup (English)
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    29 February 2024
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    In this paper, some approximation theorems for \(L_2\)-space on the Laguerre hypergroup which is the fundamental manifold of the radial functions space for the Heisenberg group are given.
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    Fourier-Laguerre transform
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    generalized translation operators
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    Jackson's inverse theorems
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    modulus of smoothness
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    best approximations
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