On some composite functional inequalities |
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| Authors: | Włodzimierz Fechner |
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| Affiliation: | (1) School of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi, 344000, China;(2) Department of Mathematics, Yazd University, Yazd, Iran;(3) Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, 445000, China |
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| Abstract: | The aim of the paper is to deal with the following composite functional inequalities | f(f(x)-f(y)) ￡ f(x+y) + f(f(x-y)) -f(x) - f(y), f(f(x)-f(y)) ￡ f(f(x+y)) + f(x-y) -f(x) - f(y), f(f(x)-f(y)) ￡ f(f(x+y)) + f(f(x-y)) -f(f(x)) - f(y),begin{gathered}f(f(x)-f(y)) leq f(x+y) + f(f(x-y)) -f(x) - f(y), hfill f(f(x)-f(y)) leq f(f(x+y)) + f(x-y) -f(x) - f(y), hfill f(f(x)-f(y)) leq f(f(x+y)) + f(f(x-y)) -f(f(x)) - f(y),end{gathered} |
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