Diskant, V. I. Refinement of isoperimetric inequality of Minkowski with the account of singularities in boundaries of intrinsic parallel bodies. (English) Zbl 1298.52011 J. Math. Phys. Anal. Geom. 10, No. 3, 309-319 (2014). MSC: 52A40 52A38 PDFBibTeX XMLCite \textit{V. I. Diskant}, J. Math. Phys. Anal. Geom. 10, No. 3, 309--319 (2014; Zbl 1298.52011) Full Text: DOI Link
Diskant, V. I. A remark on a theorem on the stability of the solution of an isoperimetric problem in Minkowski geometry. (Russian) Zbl 1262.52013 Chebyshevskiĭ Sb. 7, No. 2(18), 95-98 (2006). MSC: 52B60 52A40 PDFBibTeX XMLCite \textit{V. I. Diskant}, Chebyshevskiĭ Sb. 7, No. 2(18), 95--98 (2006; Zbl 1262.52013)
Diskant, V. I. Refinement of analogs of the generalized isoperimetric inequality. (English. Russian original) Zbl 0719.53013 J. Sov. Math. 54, No. 1, 705-707 (1991); translation from Ukr. Geom. Sb. 31, 56-59 (1988). MSC: 53C65 53C45 52A40 PDFBibTeX XMLCite \textit{V. I. Diskant}, J. Sov. Math. 54, No. 1, 705--707 (1991; Zbl 0719.53013); translation from Ukr. Geom. Sb. 31, 56--59 (1988) Full Text: DOI
Diskant, V. I. Making precise the isometric inequality and stability theorems in the theory of convex bodies. (Russian) Zbl 0717.52009 Tr. Inst. Mat. 14, 98-132 (1989). Reviewer: G.Stanilov MSC: 52A40 52A22 PDFBibTeX XML
Diskant, V. I. A strengthened version of the analogs of the generalized isoperimetric inequality. (Russian) Zbl 0672.53053 Ukr. Geom. Sb. 31, 56-59 (1988). Reviewer: M.Katz MSC: 53C65 53C45 52A40 PDFBibTeX XMLCite \textit{V. I. Diskant}, Ukr. Geom. Sb. 31, 56--59 (1988; Zbl 0672.53053)