Khaled Mehrez, Sergei M. Sitnik
Published 2017-08-16Version 1
In this paper, our aim is to show some mean value inequalities for the Fox-Wright functions, such as Tur\'an--type inequalities, Lazarevi\'c 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 Tur\'an--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.
A remark on the mean value inequalities related to Waring's problem
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Monotonicity patterns and functional inequalities for classical and generalized Wright functions
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