Remarks on Some Inequalities for Analogues of the Polygamma Function

Kwara Nantomah

doi:10.36753/mathenot.421772

EN

Remarks on Some Inequalities for Analogues of the Polygamma Function

Abstract

The purpose of this study is twofold. The first is, to point out drawbacks of some recent results concerning analogues the Polygamma function. The second is to resolve the drawbacks by providing improvements of the previous results.

Keywords

Polygamma function,analogues,inequality

References

[1] Ismail M. E. H. and Muldoon M. E., Higher Monotonicity Properties of q-gamma and q-psi Functions, Adv. Dyn. Syst. Appl., 8(2)(2013), 247-259.
[2] Krasniqi V. and Shabani A. S., Convexity Properties and Inequalities for a Generalized Gamma Function, Appl. Math. E-Notes, 10(2010), 27-35.
[3] Laforgia A. and Natalini P., Turan type inequalities for some special functions, J. Ineq. Pure Appl. Math., 7(1)(2006), Art. 22, 1-5.
[4] Merovci F., Turan type inequalities for p-Polygamma functions, Matematiche (Catania), LXVIII(II)(2013), 99-106.
[5] Merovci F., Turan type inequalities for (p, q)-Gamma function, Scientia Magna, 9(1)(2013), 25-30.
[6] Merovci F., Turan type inequalities for some (q, k)-Special functions, Acta Univ. Apulensis Math. Inform., 34(2013), 69-76.
[7] Nantomah K., The (p, q)-Analogues of Some Inequalities for the Digamma Function, J. Inequal. Spec. Funct., 5(2)(2014), 10-14.
[8] Qi F., A Completely Monotonic Function Related to the q-Trigamma Function, U.P.B. Sci. Bull., Series A, 76(1)(2014), 107-114.
[9] Sulaiman W. T., Turan type Inequalities for Some Special Functions, Aust. J. Math. Anal. Appl., 9(1)(2012), 1-7.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Kwara Nantomah

Publication Date

April 27, 2018

Submission Date

August 27, 2016

Acceptance Date

-

Published in Issue

Year 2018 Volume: 6 Number: 1

DOI

https://doi.org/10.36753/mathenot.421772

IZ

https://izlik.org/JA28JA47XD

APA

Nantomah, K. (2018). Remarks on Some Inequalities for Analogues of the Polygamma Function. Mathematical Sciences and Applications E-Notes, 6(1), 93-98. https://doi.org/10.36753/mathenot.421772

AMA

1.Nantomah K. Remarks on Some Inequalities for Analogues of the Polygamma Function. Math. Sci. Appl. E-Notes. 2018;6(1):93-98. doi:10.36753/mathenot.421772

Chicago

Nantomah, Kwara. 2018. “Remarks on Some Inequalities for Analogues of the Polygamma Function”. Mathematical Sciences and Applications E-Notes 6 (1): 93-98. https://doi.org/10.36753/mathenot.421772.

EndNote

Nantomah K (April 1, 2018) Remarks on Some Inequalities for Analogues of the Polygamma Function. Mathematical Sciences and Applications E-Notes 6 1 93–98.

IEEE

[1]K. Nantomah, “Remarks on Some Inequalities for Analogues of the Polygamma Function”, Math. Sci. Appl. E-Notes, vol. 6, no. 1, pp. 93–98, Apr. 2018, doi: 10.36753/mathenot.421772.

ISNAD

Nantomah, Kwara. “Remarks on Some Inequalities for Analogues of the Polygamma Function”. Mathematical Sciences and Applications E-Notes 6/1 (April 1, 2018): 93-98. https://doi.org/10.36753/mathenot.421772.

JAMA

1.Nantomah K. Remarks on Some Inequalities for Analogues of the Polygamma Function. Math. Sci. Appl. E-Notes. 2018;6:93–98.

MLA

Nantomah, Kwara. “Remarks on Some Inequalities for Analogues of the Polygamma Function”. Mathematical Sciences and Applications E-Notes, vol. 6, no. 1, Apr. 2018, pp. 93-98, doi:10.36753/mathenot.421772.

Vancouver

1.Kwara Nantomah. Remarks on Some Inequalities for Analogues of the Polygamma Function. Math. Sci. Appl. E-Notes. 2018 Apr. 1;6(1):93-8. doi:10.36753/mathenot.421772