Title of article :
The Lebesgue summability of trigonometric integrals
Author/Authors :
Mَricz، نويسنده , , Ferenc، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Abstract :
Motivated by the notion of Lebesgue summability of trigonometric series, we define the Lebesgue summability of trigonometric integrals in terms of the symmetric differentiability of the sum of the formally integrated trigonometric integral in question. We extend two theorems of Zygmund from trigonometric series to integrals, and one of them even in a more general form.
Keywords :
Formal integration of trigonometric series and integrals , Symmetric differentiability , Interrelations between the behavior of the initial averages and the tail averages in the cases of sequences and functions , Lebesgue summability of trigonometric series and integrals
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
