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Information × Registration Number 0203U006265, 0100U004417 , R & D reports Title Deduce of new analogs isoperimetric inequalities and proof of stability of their extreme solutions for convex bodies in a multidimensional Euclidean space and Minkowski space. popup.stage_title Head Diskant Valentin Ivanovich, Registration Date 15-04-2003 Organization Cherkasy State Tehnological University popup.description2 The object of researches is the isoperimetrics I of the geometry of Minkowsky M n and isoperimetrical inequalities M n and of Euclidian geometry R n. The purpose of researches is the deducing of estimations for geometrical characteristics I and improvements of the isoperimetrical inequalities in M n and R n. In this work there were obtained the estimations for geometrical characteristics I dependent on the dimensions n and independent from the unit sphere M n. There was proved the theorem of behavior of the isoperimetrical difference while being transmitted to the parallel body in R n. The improvement of the generalized inequality of Hadviger in R n was proved. Several improvement of the isoperimetrical inequality M n were deduced. All the results obtained are new.5635 Product Description popup.authors popup.nrat_date 2020-04-02 Close