Refinements of Some Recent Inequalities for Certain Special Functions

Mohamed Akkouchi; Mohamed Amine Ighachane

doi:10.2478/amsil-2019-0009

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Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae

Volume 33 (2019): Issue 1 (September 2019)

By: Mohamed Akkouchi and Mohamed Amine Ighachane

Open Access

|Jul 2019

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).

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2019-0009 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 1 - 20

Submitted on: Dec 5, 2018

Accepted on: May 25, 2019

Published on: Jul 18, 2019

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Hölder’s inequalities,

incomplete Gamma function,

exponential integral function,

Hurwitz-Lerch zeta function,

Abramowitz function,

Binet’s first formula

Related subjects:

Mathematics,

General mathematics

© 2019 Mohamed Akkouchi, Mohamed Amine Ighachane, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 33 (2019): Issue 1 (September 2019)