About Lebesgue inequalities on the classes of generalized Poisson integrals

• Autores: A. S. Serdyuk, T.A. Stepanyuk
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 12, Nº. 0, 2020-2021, págs. 25-40
• Idioma: inglés
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• Resumen

  • We establish asymptotically best possible Lebesgue-type inequalities on the sets Cαβ,τ C, of generalized Poisson integrals from continuous periodic functions. We prove that obtained estimates are also asymptotically exact on some important subsets Cαβ,τ C(ε).