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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 10, Pages 61–65 (Mi ivm9044)
This article is cited in 6 papers

Brief communications

Sharp constants in Hardy type inequalities

F. G. Avkhadiev

Chair of Function Theory and Approximations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We prove new weighted Hardy type inequalities with sharp constants and describe their applications to inequalities in multidimensional domains.

Keywords: Hardy type inequalities, hypergeometric functions, distance function, Hardy constants, non-convex domains.

UDC: 517.5+517.956

Received: 17.06.2015


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:10, 53–56

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© Steklov Math. Inst. of RAS, 2024