Some generalizations of Aczél, Bellman’s inequalities and related power sums
نویسنده
چکیده
with equality if and only if the sequences ai and bi are proportional. The Aczél inequality (1) plays an important role in the theory of functional equations in non-Euclidean geometry. During the past years, many authors have given considerable attention to this inequality, its generalizations and applications [2-11]. As an example, the Hölder-like generalization of the Aczél inequality (1), derived by Popoviciu [12], takes ( a1 − n ∑
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