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Sharp estimates of approximation in \(L_ p\) by functions of the form \(\phi (x)+\psi (y)\) - MaRDI portal

Sharp estimates of approximation in \(L_ p\) by functions of the form \(\phi (x)+\psi (y)\) (Q921325)

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scientific article; zbMATH DE number 4165587
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English
Sharp estimates of approximation in \(L_ p\) by functions of the form \(\phi (x)+\psi (y)\)
scientific article; zbMATH DE number 4165587

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    Sharp estimates of approximation in \(L_ p\) by functions of the form \(\phi (x)+\psi (y)\) (English)
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    1989
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    The author obtains sharp estimates for the approximation of a periodic bivariate function by sums of periodic functions of one variable in the \(L_ p\)-norm. The estimates are in terms of the mixed modulus of continuity of the bivariate function.
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    sharp estimates
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    periodic bivariate function
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    mixed modulus of continuity
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