Strong summability of orthogonal expansions of summable functions. I

• Datum: 1996
• Hauptverfasser: Lasuriya, R. A., Stepanets, O. I., Ласурия, Р. А., Степанец, А. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5353
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of strong summability of Fourier series in orthonormal systems of polynomial-type functions and establish local characteristics of the points of strong summability of series of this sort for summable functions. It is shown that the set of these points is a set of full measure in...