Uniform convergence of the Fourier spherical sums differentiated by the function

• Datum: 1991
• Hauptverfasser: Grona , V. L., Грона , В. Л.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1991
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/9304
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Asymptotic equalities are found for exact upper bounds of the deviations in the uniform metric of the spherical sums of a multiple trigonometric Fourier series on classes of functions with a mean-bounded Liouville derivative.