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On generalization of Bullen-Simpson's inequality (CROSBI ID 102965)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Matić, Marko ; Pečarić, Josip ; Vukelić, Ana
On generalization of Bullen-Simpson's inequality // The Rocky Mountain journal of mathematics, 35 (2005), 5; 1727-1754
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Matić, Marko ; Pečarić, Josip ; Vukelić, Ana
engleski
On generalization of Bullen-Simpson's inequality
Generalization of Bullen-Simpson's inequality for (2r)-convex functions is 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, are proved.
Bullen-Simpson's inequality; quadrature formulae; functions of bounded variation; Lipschitzian functions
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