@article{Golubov_Volosivets_2012, title={Fourier cosine and sine transforms and generalized Lipschitz classes in uniform metric}, volume={64}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2602}, abstractNote={For functions $f \in L^1(\mathbb{R}_{+})$ with cosine (sine) Fourier transforms $\widehat{f}_c(\widehat{f}_s)$ in $L^1(\mathbb{R})$, we give necessary and sufficient conditions in terms of $\widehat{f}_c(\widehat{f}_s)$ for $f$ to belong to generalized Lipschitz classes $H^{\omega, m}$ and $h^{\omega, m}$. Conditions for the uniform convergence of the Fourier integral and for the existence of the Schwartz derivative are also obtained.}, number={5}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Golubov, B. I. and Volosivets, S. S.}, year={2012}, month={May}, pages={616-627} }