Geodesic
Piecewise linear approximation and polyhedral surfaces
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 172-183 
P. A. Pugach; V. A. Shlyk. Piecewise linear approximation and polyhedral surfaces. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 172-183. http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a11/
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a11/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The piecewise linear approximation of admissible functions for the condenser capacity is considered. By means of this approximation, the approximate sufficiency of polyhedral surfaces for the module of a condenser is established.

[1] V. V. Aseev, “$NED$-mnozhestva, lezhaschie v giperploskosti”, Sib. mat. zh., 50:5 (2009), 967–986 | MR | Zbl

[2] Yu. V. Dymchenko, V. A. Shlyk, “Dostatochnost semeistva lomanykh v metode modulei i ustranimye mnozhestva”, Sib. mat. zh., 51:6 (2010), 1298–1315 | MR | Zbl

[3] Yu. V. Dymchenko, V. A. Shlyk, “Sootnosheniya mezhdu vesovoi emkostyu kondensatora i vesovym modulem razdelyayuschikh poverkhnostei”, Dalnevostochnyi mat. zh., 1996, no. 2, 72–80 | MR | Zbl

[4] Yu. V. Dymchenko, V. A. Shlyk, “O dostatochnosti semeistva poliedralnykh poverkhnostei v metode modulei i ustranimye mnozhestva”, Mat. zametki, 90:2 (2011), 216–230 | DOI | MR | Zbl

[5] P. A. Pugach, V. A. Shlyk, “Obobschennye emkosti i poliedralnye poverkhnosti”, Zap. nauchn. semin. POMI, 383, 2010, 148–178 | MR

[6] E. De Giorgi, “Nuovi teoremi relativi alle misure $(r-1)$-dimensionali in uno spazio ad $r$ dimensioni”, Ricerche Mat., 4 (1955), 95–113 | MR | Zbl

[7] B. Muckenhoupt, “Weighted norm inequalities for the Nardy maximal functions”, Trans. Amer. Math. Soc., 192 (1972), 207–226 | DOI | MR

[8] A. A. Glazyrin, “O simplitsialnykh razbieniyakh mnogogrannikov”, Mat. zametki, 85:6 (2009), 840–848 | DOI | MR | Zbl

[9] V. A. Zorich, Matematicheskii analiz, v. 2, M., 1984

[10] Yu. V. Dymchenko, V. A. Shlyk, “Obobschennye emkosti, sostavnye krivye i ustranimye mnozhestva”, Zap. nauchn. semin. POMI, 404, 2012, 100–119 | MR

[11] M. Ohtsuka, “Extremal length and precise functions”, GAKUTO Int. J. Adv. Math. Sci. Appl., 19 (2003), 1–343 | MR

[12] V. M. Miklyukov, Vvedenie v negladkii analiz, Izd-vo VolGU, Volgograd, 2008