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Hadamard type inequalities via some Euler type identities - Euler bitrapezoid formulae (CROSBI ID 93936)
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Dedić, Ljuban ; Matić, Marko ; Pečarić, Josip ; Vukelić, Ana
Hadamard type inequalities via some Euler type identities - Euler bitrapezoid formulae // Nonlinear studies, 8 (2001), 3; 343-372-x
Podaci o odgovornosti
Dedić, Ljuban ; Matić, Marko ; Pečarić, Josip ; Vukelić, Ana
engleski
Hadamard type inequalities via some Euler type identities - Euler bitrapezoid formulae
Hadamard's inequalities are given, by using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in $L_{p}$% -spaces, is proved by applying the Euler bitrapezoid formulae. The results are applied to obtain some error estimates for the bitrapezoid quadrature rules.
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