New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality

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Published: Mar 22, 2011
DOI: https://doi.org/10.5556/j.tkjm.42.2011.608
Keywords:
Turán-type inequalities Gamma function polygamma functions Riemann-zeta function Cauchy-Schwarz inequality Hölder inequality

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Cristinel Mortici
Valahia University of Targoviste

Abstract

We establish new inequalities involving some special functions, using a form of the Cauchy-Buniakovski-Schwarz inequality. Our new inequalities extend the class of the Turan-type inequalites.

Article Details

How to Cite
Mortici, C. (2011). New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality. Tamkang Journal of Mathematics, 42(1), 53–57. https://doi.org/10.5556/j.tkjm.42.2011.608
Issue
Vol. 42 No. 1 (2011)
Section
Papers
Author Biography

Cristinel Mortici, Valahia University of Targoviste

Director of Department of Mathematics

References

M. Abramowitz and L. A. Stegun (eds.), Handbook of Mathematical Functions with Formulas and Mathematical tables, Dover Publications Inc., New York, 1965.

B. Jorgensen, Statistical Properties of Generalized Inverse Gaussian Distributions, in: LectureNotes in Statistics, Vol. 9, Springer-Verlag, New York, 1982.

A. Laforgia and P. Natalini, Turán-type inequalities for some special functions, J. Inequal. Pure Appl.Math., 27 (2006), Issue 1, Art. 32.