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

  • E. G. Usenko

Abstract

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 for the kernelsK(f) andK(M).
Published
25.09.1999
How to Cite
UsenkoE. G. “Coincidence Criteria for the Kernel of a Function and the Kernel of Its Integral Almost Positive Means”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 9, Sept. 1999, pp. 1267–1275, https://umj.imath.kiev.ua/index.php/umj/article/view/4722.
Section
Research articles