Refinements of some recent inequalities for certain special functions

Mochamed Akkouchi; Mochamed Amine Ighachane

Published: 2019-06-22

Vol. 33 (2019)

Refinements of some recent inequalities for certain special functions

Mochamed Akkouchi , Mochamed Amine Ighachane

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

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References

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Mochamed Akkouchi

akkm555@yahoo.fr

Affiliation:

Department of Mathematics, Faculty of Sciences-Semlalia, Cadi Ayyad University, Morroco Morocco

Mochamed Amine Ighachane

Affiliation:

Department of Mathematics, Faculty of Sciences-Semlalia, Cadi Ayyad University, Morroco Morocco

Vol. 33 (2019)
Published: 2019-07-18

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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