Naslov
Hadamard type inequalities via some Euler type identities - Euler bitrapezoid formulae

Autori
Dedić, Ljuban ; Matić, Marko ; Pečarić, Josip ; Vukelić, Ana

Izvornik
Nonlinear studies (1359-8678) 8 (2001), 3; 343-372

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA