<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [<italic>Inequalities via Hölder’s inequality</italic>, Scholars Journal of Research in Mathematics and Computer Science, <bold>2</bold> (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(<italic>x</italic>).</p></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).

Refinements of Some Recent Inequalities for Certain Special Functions

Department of Mathematics, Faculty of Sciences-Semlalia

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Refinements of Some Recent Inequalities for Certain Special Functions"}

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...

Refinements of Some Recent Inequalities for Certain Special Functions

Published Online: Jul 18, 2019

Page range: 1 - 20

Received: Dec 05, 2018

Accepted: May 25, 2019

DOI: https://doi.org/10.2478/amsil-2019-0009

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

© 2019 Mohamed Akkouchi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Refinements of Some Recent Inequalities for Certain Special Functions

Published Online: Jul 18, 2019

Page range: 1 - 20

Received: Dec 05, 2018

Accepted: May 25, 2019

DOI: https://doi.org/10.2478/amsil-2019-0009

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

© 2019 Mohamed Akkouchi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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