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Generalizations of the Wirtinger‐Northcott Inequality
Author(s) -
Ditzian Z.
Publication year - 2003
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001571
Subject(s) - mathematics , inequality , norm (philosophy) , bounding overwatch , pure mathematics , mathematics subject classification , algebra over a field , mathematical analysis , epistemology , computer science , artificial intelligence , philosophy
Wirtinger and Northcott introduced an inequality bounding the norm of a 2π periodic function by the norm of its derivatives. It is shown here that this type of result occurs for other operators, defined on various domains and spaces. 2000 Mathematics Subject Classification 26D10 (primary); 41A17 (secondary).