<abstract xmlns="http://www.w3.org/1999/xhtml"><p>By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (<italic>p</italic>, <italic>k</italic>)-digamma function. Subsequently, we derive some inequalities for the (<italic>p</italic>, <italic>k</italic>)- digamma function. As special cases of the established results, we deduce some new results concerning the <italic>p</italic>-digamma and the <italic>k</italic>-digamma functions. Our results are extensions of some previous results due to Qiu and Vuorinen, Mortici, and Merovci.</p></abstract>

By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function. As special cases of the established results, we deduce some new results concerning the p-digamma and the k-digamma functions. Our results are extensions of some previous results due to Qiu and Vuorinen, Mortici, and Merovci.

Extension of complete monotonicity results involving the digamma function

Department of Mathematics, Faculty of Mathematical Sciences

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Extension of complete monotonicity results involving the digamma function"}

By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we...

Extension of complete monotonicity results involving the digamma function

Pubblicato online: 06 giu 2019

Pagine: 207 - 212

Ricevuto: 05 apr 2019

Accettato: 17 mag 2019

DOI: https://doi.org/10.1515/mjpaa-2018-0016

Parole chiave
Complete monotonicity, ()-digamma function, Inequality

© 2018 Kwara Nantomah, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Extension of complete monotonicity results involving the digamma function

Pubblicato online: 06 giu 2019

Pagine: 207 - 212

Ricevuto: 05 apr 2019

Accettato: 17 mag 2019

DOI: https://doi.org/10.1515/mjpaa-2018-0016

Parole chiaveComplete monotonicity, ()-digamma function, Inequality

© 2018 Kwara Nantomah, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Parole chiave
Complete monotonicity, ()-digamma function, Inequality