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Infimum problems derived from the proofs of some generalized Schwarz inequalities
Published:
July 4, 2019
https://doi.org/10.5485/TMCS.2019.0456
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Copyright (c) 2022 Zoltán Boros, Árpád Száz
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Boros, Z., & Száz, Árpád. (2019). Infimum problems derived from the proofs of some generalized Schwarz inequalities. Teaching Mathematics and Computer Science, 17(1), 41-57. https://doi.org/10.5485/TMCS.2019.0456
Abstract
We define f(a;b)(r) = ar + b/r for all a, b, r Є R with r > 0. And, for some subsets A of R, we determine FA_+ (a; b) = inf (r Є A_+) f(a,b) (r) ; where A_+ ={r Є A : r > 0}. The above in ma are mainly motivated by the proofs of some recent generalized Schwarz inequalities established by the present authors.
Subject Classification: I35