<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

Data publikacji: 18 lip 2019

Zakres stron: 1 - 20

Otrzymano: 05 gru 2018

Przyjęty: 25 maj 2019

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

Słowa kluczowe
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

Data publikacji: 18 lip 2019

Zakres stron: 1 - 20

Otrzymano: 05 gru 2018

Przyjęty: 25 maj 2019

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

Słowa kluczoweHölder’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.

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