Criteria for the coincidence of the kernel of a function with the kernels of its Riesz and Abel integral means

• Datum: 1998
• Hauptverfasser: Usenko, E. G., Усенко, Є. Г.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4792
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We indicate criteria for the coincidence of the Knopp kernels K(f) K(A f), and K (R f) of bounded functions f(t); here, $$R_f \left( t \right) = \frac{1}{{P\left( x \right)}}\int\limits_{\left[ {0;\left. t \right)} \right.} {f\left( x \right)dP and A_f \left( t \right)} = \frac{1}{{\int_0^\infty {...