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In this paper, we prove that [수식] is geometrically convex on (0,∞). As its applications, we obtain some new estimates for [수식]
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참고문헌 (21)
참고문헌 신청
B. Palumbo / 1998 / A generalization of some inequalities for the gamma function / J. Comput. Appl. Math. 88 (2) : 255 ~ 268
C. E. Finol / 2000 / Multiplicative properties of real functions with applications to classical functions / Aequationes Math. 59 (1) : 134 ~ 149
C. P. Niculescu / 2000 / Convexity according to the geometric mean / Math. Inequal. Appl. 3 (2) : 155 ~ 167
C. P. Niculescu / 2003 / Convexity according to means / Math. Inequal. Appl. 6 (4) : 571 ~ 579
D. Kershaw / 1983 / Some extensions of W. Gautschi’s inequalities for the gamma function / Math. Comp. 41 (164) : 607 ~ 611
C. E. Finol / 2000 / Multiplicative properties of real functions with applications to classical functions / Aequationes Math. 59 (1) : 134 ~ 149
C. P. Niculescu / 2000 / Convexity according to the geometric mean / Math. Inequal. Appl. 3 (2) : 155 ~ 167
C. P. Niculescu / 2003 / Convexity according to means / Math. Inequal. Appl. 6 (4) : 571 ~ 579
D. Kershaw / 1983 / Some extensions of W. Gautschi’s inequalities for the gamma function / Math. Comp. 41 (164) : 607 ~ 611
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