The (q; k)-Analogues of Some Inequalities Involving the Psi Function

  • Authors

    • Kwara Nantomah University for Development Studies, Navrongo Campus.

    Received date: July 12, 2014

    Accepted date: August 10, 2014

    Published date: August 12, 2014

    https://doi.org/10.14419/gjma.v2i3.3159

  • Abstract

    In this paper, the (q; k)-analogues of some inequalities involving the Psi function are presented. These resultsgeneralize some earlier results presented by W. T. Sulaiman. The approach is based on some mononicity propertiesof some functions involving the  (q;k)-Psi function.

    Keywords: Psi function, (q; k)-analogue, Inequality.

    MSC: 33B15, 26A48.

  • References

    1. R. Daz and C. Teruel, q; k-generalized gamma and beta functions, J. Nonlin. Math. Phys. 12(2005), 118-134.
    2. F. Merovci, Turan type inequalities for some (q; k)-special functions, Acta Universitatis Apulensis 34(2013), 69-76.
    3. K. Nantomah and E. Prempeh, The p-Analogues of Some Inequalities for the Digamma Function, Math. Aeterna, 4(3)(2014), 275-279.
    4. K. Nantomah and E. Prempeh, The q-Analogues of Some Inequalities for the Digamma Function, Math. Aeterna, 4(3)(2014), 281-285.
    5. K. Nantomah and E. Prempeh, The k-Analogues of Some Inequalities for the Digamma Function, Math. Aeterna, 4(3)(2014), 269-273.
    6. K. Nantomah, The (p; q)-analogues of some inequalities for the Digamma function, Journal of Inequalities and Special Functions 5(2)(2014), 10-14.
    7. W. T. Sulaiman, Turan inequalites for the digamma and polygamma functions, South Asian J. Math. 1(2)(2011), 49-55.

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  • How to Cite

    Nantomah, K. (2014). The (q; k)-Analogues of Some Inequalities Involving the Psi Function. Global Journal of Mathematical Analysis, 2(3), 209-212. https://doi.org/10.14419/gjma.v2i3.3159

    Received date: July 12, 2014

    Accepted date: August 10, 2014

    Published date: August 12, 2014