Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means

• Datum: 1999
• Hauptverfasser: Usenko, E. G., Усенко, Є. Г.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4722
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish necessary and sufficient conditions for a point A of the Knopp kernelK(f) of a functionf to belong to the kernelK(M) of a functionM(t):=∫ S fdμ t , where the so-called almost positive measures μ t determine a regular method of summation. In particular, this gives coincidence criteria...