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Generalized Hadamard's inequalities based on general Euler 4-point formulae (CROSBI ID 132487)
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Klaričić Bakula, Milica ; Pečarić, Josip
Generalized Hadamard's inequalities based on general Euler 4-point formulae // The ANZIAM journal, 48 (2007), 387-404-x
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Klaričić Bakula, Milica ; Pečarić, Josip
engleski
Generalized Hadamard's inequalities based on general Euler 4-point formulae
General closed 4-point quadrature rule based on Euler-type identities is presented. We use this rule to prove a generalization of Hadamard's inequalities for (2r)-convex functions (r≥ 1).
Euler formulae; quadrature rules; Hadamard's inequalities; convex functions
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