Data too long for column 'ip' at row 1
Database Error
Message:MySQL Query fail: INSERT INTO `ga_sessoes` (`id_sessao`, `id_user`, `ip`, `expiracao`, `local`) VALUES ('e5b5874ceefa0e5e1a189287b62a558c', '0', '10.1.207.19, 216.73.216.123', '1769502802', '/fichaartigo?id=1460');
MySQL Error:Data too long for column 'ip' at row 1
Date:Tuesday, January 27, 2026 at 8:03:22 AM
Script:/fichaartigo?id=1460
Data too long for column 'ip' at row 1
Database Error
Message:MySQL Query fail: INSERT INTO `ga_sessoes` (`id_sessao`, `id_user`, `ip`, `expiracao`, `local`) VALUES ('e5b5874ceefa0e5e1a189287b62a558c', '0', '10.1.207.19, 216.73.216.123', '1769502802', '/fichaartigo?id=1460');
MySQL Error:Data too long for column 'ip' at row 1
Date:Tuesday, January 27, 2026 at 8:03:22 AM
Script:/fichaartigo?id=1460
Gazeta de matemática

A desigualdade de Karamata

"There are three great pillars of the theory of inequalities: positivity, monotonicity and convexity." J. Michael Steele

PDF do Artigo | PDF integral
Gazeta nº 184, pág. nº 10 | Categoria: Canto Délfico | Palavras-Chave: Karamata, funções convexas, desigualdade
Autor(es): Amílcar Branquinho | Jorge Neves |