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On discrete form of the mean value inequality for subharmonic functions

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dc.contributor.authorTelyakovskii, D. S.
dc.contributor.authorТеляковский, Дмитрий Сергеевич
dc.date.accessioned2024-11-21T09:03:59Z
dc.date.available2024-11-21T09:03:59Z
dc.date.issued2019
dc.description.abstract© 2019 Published under licence by IOP Publishing Ltd.We obtain a sufficient condition for the subharmonicity of a function u(x,y) = u(z), z ∈ G ⊂ 2, in which the mean value inequality has discrete form. Namely, it is assumed that for each point ζ ∈ G there are a circle of arbitrarily small radius centered at ζ and a set of nodes lying on this circle for which the value u(ζ) does not exceed the arithmetic mean of the function values in the nodes of this set. A necessary and sufficient condition for the location of the nodes of the set is established when executed, the function u(z) satisfying at each point of G such discrete form of mean value inequality, and, additionally, some condition of summability and continuity in the directions is subharmonic in the domain G.
dc.identifier.citationTelyakovskii, D. S. On discrete form of the mean value inequality for subharmonic functions / Telyakovskii, D.S. // Journal of Physics: Conference Series. - 2019. - 1205. - № 1. - 10.1088/1742-6596/1205/1/012057
dc.identifier.doi10.1088/1742-6596/1205/1/012057
dc.identifier.urihttps://www.doi.org/10.1088/1742-6596/1205/1/012057
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85066339063&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000481606200057
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/18134
dc.relation.ispartofJournal of Physics: Conference Series
dc.titleOn discrete form of the mean value inequality for subharmonic functions
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume1205
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