The generalized absolute convergence of trigonometric Fourier series with gaps

Author: Rusudan Meskhia
Keywords: generalized absolute convergence, fourier, series with gaps, modulus of variation..
Annotation:

The sufficient conditions for the generalized absolute convergence of trigonometric Fourier series with gaps are established for some classes of functions. From the obtained results follow the theorems of Noble and Kennedy for Fourier series with gaps.

Lecture files:

The generalized absolute convergence of trigonometric Fourier series with gaps [en]
ლაკუნებიანი ფურიეს ტრიგონომეტრიული მწკრივის განზოგადებული აბსოლუტური კრებადობა [ka]