Monotony of weight - means of higher order
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Beckenbach, E. F., Superadditivity inequalities. Pacific J. Math. 14 1964 421-438, MR0163996, https://doi.org/10.2140/pjm.1964.14.421
Boehme, T. K., Bruckner, A. M., Functions with convex means. Pacific J. Math. 14 1964 1137-1149, MR0174673, https://doi.org/10.2140/pjm.1964.14.1137
Bruckner, A. M. Ostrow, E., Some function classes related to the class of convex functions. Pacific J. Math. 12 1962 1203-1215, MR0148822, https://doi.org/10.2140/pjm.1962.12.1203
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