Some Fourier-type operators for functions on unbounded intervals |
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Authors: | G Mastroianni I Notarangelo |
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Institution: | 1.Dipartimento di Matematica e Informatica,Università degli Studi della Basilicata,Potenza,Italy |
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Abstract: | In order to approximate functions defined on the real line or on the real semiaxis by polynomials, we introduce some new Fourier-type
operators, connected to the Fourier sums of generalized Freud or Laguerre orthonormal systems. We prove necessary and sufficient
conditions for the boundedness of these operators in suitable weighted L
p
-spaces, with 1 < p < ∞. Moreover, we give error estimates in weighted L
p
and uniform norms. |
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Keywords: | |
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