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[en] We obtain multidimensional analogues of V. A. Markov's inequalities for algebraic polynomials on centrally symmetric convex bodies and an analogue of the Schaeffer-Duffin inequality for polynomials on multidimensional cubes. We establish necessary and sufficient conditions for these inequalities to become equalities, and describe the sets of extremals
Journal
Izvestiya. Mathematics; ISSN 1064-5632; 
; v. 72(2); p. 383-412
; v. 72(2); p. 383-412