Strong summability of orthogonal expansions of summable functions. I

• Дата: 1996
• Автори: Lasuriya, R. A., Stepanets, O. I., Ласурия, Р. А., Степанец, А. И.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1996
• Онлайн доступ: 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...