Refinements of Aczél and Bellman’s inequalities

Aczél, 1956, Some general methods in the theory of functional equations in one variable, New applications of functional equations, Uspehi Mat. Nauk, 11 69, 3 Díaz-Barrero, 2008, Refinements of Aczél, Popoviciu and Bellman’s inequalities, Comput. Math. Appl., 56, 2356, 10.1016/j.camwa.2008.05.013 Mitrinović, 1970 Popoviciu, 1959, On an inequality, Gaz. Mat. Fiz. Ser. A, 11, 451 Vasić, 1979, On the Jensen inequality for monotone functions, An. Univ. Timişoara Ser. St. Mat., 17, 95 Wu, 2005, Generalizations of Aczél’s inequality and Popoviciu’s inequality, Indian J. Pure Appl. Math., 36, 49 Wu, 2008, A new generalization of Aczél’s inequality and its applications to an improvement of Bellman’s inequality, Appl. Math. Lett., 21, 588, 10.1016/j.aml.2007.07.010 Wu, 2008, Some improvements of Aczél’s inequality and Popoviciu’s inequality, Comput. Math. Appl., 56, 1196, 10.1016/j.camwa.2008.02.021 Bellman, 1956, On an inequality concerning an indefinite form, Amer. Math. Monthly, 63, 108, 10.2307/2306434