Inequalities for Γp function and gamma function

• Autorzy: Yin L. , Song Z. M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we present a double inequality for the gamma function by estimating bounds of Γp function. Later, we also give a new inequality of gamma function.

Słowa kluczowe

EN

inequality; gamma function

PL

nierówność; funkcja gamma

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 3
• Strony: 485--490
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Yin L.

• Department of Mathematics, Binzhou University, Binzhou City, Shandong Province, 256603, China

autor

Song Z. M.

• Beizhen Middle School, Binzhou City, Shandong Province, 256600, China

Bibliografia

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• [3] H. Alzer, Inequalities for the gamma function, Proc. Amer. Math. Soc. 128(1) (1999), 141–147.
• [4] H. Alzer, On some inequalities for the gamma function and psi function, Math. Comp. 66 (1997), 373–389.
• [5] P. Ivády, A note on a gamma function inequality, J. Math. Inequal. 3(2) (2009), 227–236.
• [6] F. Qi, B. N. Guo, An elegant refinement of a double inequality for the gamma function, available online at http://arxiv.org/abs/0902.2509.6.
• [7] B. N. Guo, F. Qi, Two new proofs of the complete monotonicity of a function involving the psi function, Bull. Korean Math. Soc. 47(1) (2010), 103–111.
• [8] H. Alzer, N. Batir, Monotonicity properties of the gamma function, Appl. Math. Lett. 20(7) (2007), 778–781.
• [9] D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, New York, 1970.