Abstract
In this paper we obtain properties of several mappings which are arisen from the Minkowski inequality. We investigate superadditivity (subadditivity) and monotonicity of those functions, and give some refinements of the Minkowski inequality and the Hölder inequality.
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Dragomir S.S., Pečarić J.E., Persson L.E.: Properties of some functionals related to Jensen’s inequality. Acta Math. Hungar 70(1–2), 129–143 (1996)
E. H. Lieb and M. Loss, Analysis, Graduate Studies in Mathematics, vol. 14, American Mathematical Society, 2001.
McLaughlin H.W., Metcalf F.T.: The Minkowski and Tchebychef inequalities as functions of the index set. Duke Math. J. 35, 865–873 (1968)
Pečarić J.E.: Improvements of H¨older’s and Minkowski’s inequalities. Mat. Bilten 17, 69–74 (1993)
J. E. Pečarić, F. Proschan and Y. L. Tong, Convex functions, partial orderings, and statistical applications, Academic Press Inc., 1992.
Vasić P.M., Pečarić J.E.: On the Hölder and some related inequalities. Rev. Anal. Numér. Théor. Approx. 25(48), 95–103 (1982) No 1
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The research was supported by the Ministry of Science, Education and Sports of the Republic of Croatia under grants 058-1170889-1050 and 117-1170889-0888.
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Ivanković, B., Pečarić, J. & Varošanec, S. Properties of Mappings Related to the Minkowski Inequality. Mediterr. J. Math. 8, 543–551 (2011). https://doi.org/10.1007/s00009-010-0104-6
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DOI: https://doi.org/10.1007/s00009-010-0104-6