Refinements of some recent inequalities for certain special functions



Abstract

The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no. 2, 124–129] for the incomplete gamma function, Polygamma functions, Exponential integral function, Abramowitz function, Hurwitz-Lerch zeta function and for the normalizing constant of the generalized inverse Gaussian distribution and the Remainder of the Binet’s first formula for ln Γ(x).


Keywords

Hölder’s inequalities; incomplete Gamma function; exponential integral function; Hurwitz-Lerch zeta function; Abramowitz function; Binet’s first formula

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Published : 2019-06-22


AkkouchiM., & Amine IghachaneM. (2019). Refinements of some recent inequalities for certain special functions. Annales Mathematicae Silesianae, 33, 1-20. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/13647

Mochamed Akkouchi  akkm555@yahoo.fr
Department of Mathematics, Faculty of Sciences-Semlalia, Cadi Ayyad University, Morroco  Morocco
Mochamed Amine Ighachane 
Department of Mathematics, Faculty of Sciences-Semlalia, Cadi Ayyad University, Morroco  Morocco



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