Abstract
We establish symmetric inequalities with power-exponential functions and propose a conjecture.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. Coronel and F. Huancas, The proof of three power-exponential inequalities, J. Inequal. Appl. 2014, 509 (2014).
A. Coronel and F. Huancas, On the inequality a 2a + b 2b + c 2c ≥ a 2b + b 2c + c 2a, Aust. J. Math. Anal. Appl., 9(1) (2012).
V. Cîrtoaje, On some inequalities with power-exponential functions, J. Inequal. Pure Appl. Math., 10(1) (2009).
V. Cîrtoaje, Proofs of three open inequalities with power-exponential functions, J. Nonlinear Sci. Appl., 4(2) (2011), 130–137.
L. Matejíčka, On an open problem posed in the paper ”Inequalities of power-exponential functions”, J. Inequal. Pure Appl. Math., 9(3) (2008).
L. Matejíčka, Solution of one conjecture on inequalities with power-exponential functions, J. Inequal. Pure Appl. Math., 10(3) (2009).
L. Matejíčka, Proof of one open inequality, J. Nonlinear Sci. Appl., 7(1) (2014), 51–62.
L. Matejíčka, On the Cîrtoaje’s conjecture, J. Inequal. Appl. 2016, 152 (2016).
M. Miyagi and Y. Nishizawa, Proof of an open inequality with double power-exponential functions, J. Inequal. Appl. 2013, 468 (2013).
M. Miyagi and Y. Nishizawa, A short proof of an open inequality with power-exponential functions, Aust. J. Math. Anal. Appl., 11(1) (2014).
M. Miyagi and Y. Nishizawa, Extension of an inequality with power exponential functions, Tamkang J. Math., 46 (2015), 427–433.
M. Miyagi and Y. Nishizawa, A stronger inequality of Cirtoaje’s one with power exponential functions, J. Nonlinear Sci. Appl., 8 (2015), 224–230.
F. Qi and L. Debnath, Inequalities for power-exponential functions, J. Inequal. Pure Appl. Math., 1(2) (2000).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nishizawa, Y. Symmetric inequalities with power-exponential functions. Indian J Pure Appl Math 48, 335–344 (2017). https://doi.org/10.1007/s13226-017-0230-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13226-017-0230-y