On capacity characteristics of condensers

We introduce and study a one-parameter family of capacity characteristics of condensers in ℝ p ,p ≥ 3, that contains some known capacities as elements extremal with respect to the parameter. We establish new relations between the capacity characteristics of condensers and sets.

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Date:1996
Main Authors: Zorii, N. V., Зорий, Н. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5189
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Zorii, N. V.
Зорий, Н. В.
Зорий, Н. В.
author_facet Zorii, N. V.
Зорий, Н. В.
Зорий, Н. В.
author_sort Zorii, N. V.
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datestamp_date 2020-03-18T21:26:41Z
description We introduce and study a one-parameter family of capacity characteristics of condensers in ℝ p ,p ≥ 3, that contains some known capacities as elements extremal with respect to the parameter. We establish new relations between the capacity characteristics of condensers and sets.
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spelling umjimathkievua-article-51892020-03-18T21:26:41Z On capacity characteristics of condensers О емкостных характеристиках конденсаторов Zorii, N. V. Зорий, Н. В. Зорий, Н. В. We introduce and study a one-parameter family of capacity characteristics of condensers in ℝ p ,p ≥ 3, that contains some known capacities as elements extremal with respect to the parameter. We establish new relations between the capacity characteristics of condensers and sets. Введено та досліджено одиопараметричну сім'ю ємнісних характеристик конденсаторів в $ℝ^p, \;p ≥ 3$, що містить деякі відомі ємності як елементи, екстремальні за параметром. Між ємнісними характеристиками конденсаторів та множин одержано нові співвідношення. Institute of Mathematics, NAS of Ukraine 1996-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5189 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 12 (1996); 1670-1682 Український математичний журнал; Том 48 № 12 (1996); 1670-1682 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5189/7073 https://umj.imath.kiev.ua/index.php/umj/article/view/5189/7074 Copyright (c) 1996 Zorii N. V.
spellingShingle Zorii, N. V.
Зорий, Н. В.
Зорий, Н. В.
On capacity characteristics of condensers
title On capacity characteristics of condensers
title_alt О емкостных характеристиках конденсаторов
title_full On capacity characteristics of condensers
title_fullStr On capacity characteristics of condensers
title_full_unstemmed On capacity characteristics of condensers
title_short On capacity characteristics of condensers
title_sort on capacity characteristics of condensers
url https://umj.imath.kiev.ua/index.php/umj/article/view/5189
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