INVERSION OF DOUBLE FOURIER INTEGRAL OF NON-LEBESGUE INTEGRABLE BOUNDED VARIATION FUNCTIONS
DOI :
https://doi.org/10.5269/bspm.78858Résumé
This work proves pointwise convergence of the truncated
Fourier double integral of non-Lebesgue integrable bounded variation
functions. This leads to the Dirichlet-Jordan theorem proof for non-
Lebesgue integrable functions, which has not been sufficiently studied.
Note that recent contributions regarding this subject consider Lebesgue
integrable functions, [F. Móricz, 2015], [B. Ghodadra-V. Fulop, 2016].
Téléchargements
Publié
2025-12-20
Numéro
Rubrique
Conf. Issue: Advances in Nonlinear Analysis and Applications
Licence
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
