Geodesic
Approximation by trigonometric polynomials and Faber-Laurent rational functions in grand Morrey spaces
Filomat, Tome 37 (2023) no. 16, p. 5225

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DOI

Let G be finite Jordan domain bounded a Dini smoth curve Γ in the complex plane C. We investigate the approximation properties of the partial sums of the Fourier series and prove direct theorem for approximation by polynomials in the subspace of Morrey spaces associated with grand Lebesgue spaces. Also, approximation properties of the Faber-Laurent rational series expansions in spaces L p),λ (Γ) are studied. Direct theorems of approximation theory in grand Morrey-Smirnov classes, defined in domains with a Dini-smooth boundary, are proved.
DOI : 10.2298/FIL2316225J
Classification : 30E10, 41A10, 41A17, 41A20, 41A50, 42A05, 42A10
Keywords: Morrey spaces associated with grand Lebesgue spaces, Modulus of smoothness, Direct theorem, Faber-Laurent rational functions, Dini-smooth curve, Best approximation 
Sadulla Z Jafarov. Approximation by trigonometric polynomials and Faber-Laurent rational functions in grand Morrey spaces. Filomat, Tome 37 (2023) no. 16, p. 5225 . doi: 10.2298/FIL2316225J
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     title = {Approximation by trigonometric polynomials and {Faber-Laurent} rational functions in grand {Morrey} spaces},
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     doi = {10.2298/FIL2316225J},
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