References

EXTENSION OF A BETA FUNCTION INEQUALITY


[1] M. Abramowitz and I. A. Stegun, (Editors), Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables, Dover, New York, 1965.

[2] H. Alzer, Sharp inequalities for the beta function, Indag. Math. 12 (2001), 15-21.

[3] H. Alzer, Some beta function inequalities, Proc. of the Royal Soc. of Edinburgh 133A (2003), 731-745.

[4] G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen, Conformal Invariants Inequalities and Quasiconformal Maps, Wiley, New York, 1997.

[5] G. E. Andrews, R. Askey and R. Roy, Special Functions, Cambridge University Press, Cambridge, 1999.

[6] P. Cerone, Special functions: Approximations and bounds, Appl. Anal. Discrete Math. 1 (2007), 72-91.

[7] S. S. Dragomir, R. P. Agarwal and N. S. Barnett, Inequalities for beta and gamma functions via some classical and new integral inequalities, J. Inequal. Appl. 5 (2000), 103-165.

[8] L. Gordon, A stochastic approach to the gamma function, Amer. Math. Monthly 101 (1994), 858-865.

[9] L. Grenié and G. Molteni, Inequalities for the beta function, J. Math. Inequal. Appl. 18 (2015), 1427-1442.

[10] P. Ivády, On a beta function inequality, J. Math. Inequal. 6(3) (2012), 333-341.

[11] P. Ivády, Corrigendum to: On a beta function inequality, J. Math. Inequal. 10(2) (2016), 597-601.

[12] P. Ivády, On a beta function inequality II, J. Math. Sciences: Adv. and Appl. 22 (2013), 27-37.

[13] G. Lochs, Abschätzung spezieller Werte der unvollständigen Betafunktion, Anz. Österr Akad. Wissensch 123 (1986), 59-63.

[14] D. S. Mitrinović, Analytic Inequalities, Springer, 1970.

[15] C. Niculescu and L. E. Persson, Convex Functions and their Applications, Springer, 2006.