Generalization of Bullen-Simpson's 3/8 inequality
Generalization of Bullen-Simpson's 3/8 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. (c) 2005 Elsevier Ltd. All rights reserved.
bullen-simpson's 3/8 inequality functions of bounded variation lipschitzian functions quadrature formulae