Title: Functional inequalities for Fox-Wright functions,
Abstract: In this paper, our aim is to show some mean value inequalities for the
Fox-Wright functions, such as Turán--type inequalities, Lazarević and
Wilker--type inequalities. As applications we derive some new type inequalities
for hypergeometric functions and the four--parametric Mittag--Leffler
functions. Furthermore, we prove monotonicity of ratios for sections of series
of Fox-Wright functions, the results is also closely connected with
Turán--type inequalities. Moreover, some other type inequalities are also
presented. At the end of the paper, some problems stated, which may be of
interest for further research.