ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 12 (2017), 1 -- 6
This work is licensed under a Creative Commons Attribution 4.0 International License.
ON ONE INTERESTING INEQUALITY
Ladislav Matejíčka
Abstract. In this paper, we give a classification of points under which the generalization of Cîrtoaje's inequality or the reverse inequality are valid.
2010 Mathematics Subject Classification: 26D15;
Keywords: Inequalities with power-exponential functions; Cîrtoaje's inequality.
References
V. Cîrtoaje, Proofs of Three Open Inequalities With Power Exponential Functions, J. Nonlinear Sci. Appl., vol. 4, No. 2, (2011), 130--137. MR2783839. Zbl 1217.26026.
A. Coronel and F. Huancas, The Proof of Three Power Exponential Inequalities, Journal of Inequalities and Applications 2014: 509, http://www.journalofinequalitiesandapplications.com/content/2014/1/509. MR3360550. Zbl 1334.26068.
L. Matejíčka, Proof of one open inequality, J. Nonlinear Sci. Appl., 7 (2014), 5162, http://www.tjnsa.com. MR3149262. Zbl 1217.26026.
L. Matejíčka,On the Cîrtoaje's Conjecture, Journal of Inequalities and Applications, Journal of Inequalities and Applications 2016, 2016:152, DOI: 10.1186/s13660-016-1092-2. MR3510697. Zbl 1338.26010.
L. Matejíčka, Some remarks on Cîrtoaje's conjecture, Journal of Inequalities and Applications, Journal of Inequalities and Applications (2016) 2016:269 DOI 10.1186/s13660-016-1211-0. MR3566243. Zbl 1348.26010.
M. Miyagi and Y. Nishizawa, A stronger inequality of Cîrtoaje's one with power-exponential functions, J. Nonlinear Sci. Appl., 8 (2015), 224230, http://www.tjnsa.com. MR3323382. Zbl 1312.26035.
Thomas M. Cover, Joy A. Thomas, Elements of Information Theory, John Wiley and Sons, Inc, 1991. MR2239987. Zbl 0762.94001.
Ladislav Matejíčka
Faculty of Industrial Technologies, University of Alexander Dubℑ
Ivana Krasku 491/30 020 01 Púchov,
Slovakia.
e-mail: ladislav.matejicka@tnuni.sk
http://www.fpt.tnuni.sk/