<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

Publié en ligne: 06 juin 2019

Pages: 207 - 212

Reçu: 05 avr. 2019

Accepté: 17 mai 2019

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

Mots clés
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

Publié en ligne: 06 juin 2019

Pages: 207 - 212

Reçu: 05 avr. 2019

Accepté: 17 mai 2019

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

Mots clésComplete monotonicity, ()-digamma function, Inequality

© 2018 Kwara Nantomah, published by Sciendo

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

Mots clés
Complete monotonicity, ()-digamma function, Inequality