-
2
-
-
71649084327
-
Completely monotonic functions related to the gamma functions
-
CHEN, CH. P.- QI, F.: Completely monotonic functions related to the gamma functions, RGMIA Res. Rep. Coll. 8 (2005), 195-200.
-
(2005)
RGMIA Res. Rep. Coll.
, vol.8
, pp. 195-200
-
-
Chen, C.P.1
Qi, F.2
-
3
-
-
71649091201
-
Some properties of functions related to the gamma and psi functions
-
CHEN, CH. P.- QI, F.- SRIVASTAVA, H. M.: Some properties of functions related to the gamma and psi functions, Integral Transforms Spec. Funct. 21 (2010), 153-164.
-
(2010)
Integral Transforms Spec. Funct.
, vol.21
, pp. 153-164
-
-
Chen, C.P.1
Qi, F.2
Srivastava, H.M.3
-
4
-
-
0010784294
-
Steffensen pairs and associated inequalities
-
GAUCHMAN, H.: Steffensen pairs and associated inequalities, J. Inequal. Appl. 5 (2000), 53-61.
-
(2000)
J. Inequal. Appl.
, vol.5
, pp. 53-61
-
-
Gauchman, H.1
-
5
-
-
58549100297
-
Monotonicity and logarithmic convexity of three functions involving exponential function
-
GUO, B. N.- LIU, A. Q.- QI, F.: Monotonicity and logarithmic convexity of three functions involving exponential function, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 15 (2008), 387-392.
-
(2008)
J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math.
, vol.15
, pp. 387-392
-
-
Guo, B.N.1
Liu, A.Q.2
Qi, F.3
-
6
-
-
68949093412
-
A simple proof of logarithmic convexity of extended mean values
-
GUO, B. N.- QI, F.: A simple proof of logarithmic convexity of extended mean values, Numer. Algorithms 52 (2009), 89-92. http://dx. doi. org/10. 1007/s11075-008-9259-7.
-
(2009)
Numer. Algorithms
, vol.52
, pp. 89-92
-
-
Guo, B.N.1
Qi, F.2
-
8
-
-
71649085838
-
A class of completely monotonic functions related to the remainder of Binet's formula with applications
-
GUO, B. N.- QI, F.: A class of completely monotonic functions related to the remainder of Binet's formula with applications, Tamsui Oxf. J. Math. Sci. 25 (2009), 9-14.
-
(2009)
Tamsui Oxf. J. Math. Sci.
, vol.25
, pp. 9-14
-
-
Guo, B.N.1
Qi, F.2
-
9
-
-
0004054936
-
-
3rd ed., Changsha, China: Hunan Education Press, (Chinese)
-
KUANG, J. CH.: Applied Inequalities (3rd ed.), Hunan Education Press, Changsha, China, 1993 (Chinese).
-
(1993)
Applied Inequalities
-
-
Kuang, J.C.1
-
10
-
-
45949104101
-
Monotonicity and logarithmic concavity of two functions involving exponential function
-
LIU, A. Q.- LI, G. F.- GUO, B. N.- QI, F.: Monotonicity and logarithmic concavity of two functions involving exponential function, Internat. J. Math. Ed. Sci. Tech. 39 (2008), 686-691.
-
(2008)
Internat. J. Math. Ed. Sci. Tech.
, vol.39
, pp. 686-691
-
-
Liu, A.Q.1
Li, G.F.2
Guo, B.N.3
Qi, F.4
-
13
-
-
27844528620
-
A note on Schur-convexity of extended mean values
-
QI, F.: A note on Schur-convexity of extended mean values, Rocky Mountain J. Math. 35 (2005), 1787-1793.
-
(2005)
Rocky Mountain J. Math.
, vol.35
, pp. 1787-1793
-
-
Qi, F.1
-
14
-
-
0013198228
-
Logarithmic convexities of the extended mean values
-
QI, F.: Logarithmic convexities of the extended mean values, RGMIA Res. Rep. Coll. 2 (1999), 643-652.
-
(1999)
RGMIA Res. Rep. Coll.
, vol.2
, pp. 643-652
-
-
Qi, F.1
-
15
-
-
0035994067
-
Logarithmic convexity of extended mean values
-
QI, F.: Logarithmic convexity of extended mean values, Proc. Amer. Math. Soc. 130 (2002), 1787-1796.
-
(2002)
Proc. Amer. Math. Soc.
, vol.130
, pp. 1787-1796
-
-
Qi, F.1
-
16
-
-
27844572645
-
Schur-convexity of the extended mean values
-
QI, F.: Schur-convexity of the extended mean values, RGMIA Res. Rep. Coll. 4 (2001), 529-533.
-
(2001)
RGMIA Res. Rep. Coll.
, vol.4
, pp. 529-533
-
-
Qi, F.1
-
17
-
-
27844479859
-
The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications
-
QI, F.: The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications, Cubo Mat. Educ. 5 (2003), 63-90.
-
(2003)
Cubo Mat. Educ.
, vol.5
, pp. 63-90
-
-
Qi, F.1
-
18
-
-
29144536633
-
The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications
-
QI, F.: The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications, RGMIA Res. Rep. Coll. 5 (2002), 57-80.
-
(2002)
RGMIA Res. Rep. Coll.
, vol.5
, pp. 57-80
-
-
Qi, F.1
-
19
-
-
58549102306
-
Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values
-
QI, F.- CERONE, P.- DRAGOMIR, S. S.- SRIVASTAVA, H. M.: Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values, Appl. Math. Comput. 208 (2009), 129-133. http://dx. doi. org/10. 1016/j. amc. 2008. 11. 023.
-
(2009)
Appl. Math. Comput.
, vol.208
, pp. 129-133
-
-
Qi, F.1
Cerone, P.2
Dragomir, S.S.3
Srivastava, H.M.4
-
21
-
-
77954444218
-
-
QI, F.- GUO, B. N.: Subadditive and superadditive properties of polygamma functions, RGMIA Res. Rep. Coll. Suppl. 10 (2007), Art. 4.
-
-
-
-
22
-
-
77954429841
-
-
x)/x: Logarithmic convexity, RGMIA Res. Rep. Coll. 11 (2008).
-
-
-
-
23
-
-
33747056370
-
The best bounds in Gautschi-Kershaw inequalities
-
QI, F.- GUO, B. N.- CHEN, CH. P.: The best bounds in Gautschi-Kershaw inequalities, Math. Inequal. Appl. 9 (2006), 427-436.
-
(2006)
Math. Inequal. Appl.
, vol.9
, pp. 427-436
-
-
Qi, F.1
Guo, B.N.2
Chen, C.P.3
-
24
-
-
77249170058
-
The best bounds in Gautschi-Kershaw inequalities
-
QI, F.- GUO, B. N.- CHEN, CH. P.: The best bounds in Gautschi-Kershaw inequalities, RGMIA Res. Rep. Coll. 8 (2005), 311-320.
-
(2005)
RGMIA Res. Rep. Coll.
, vol.8
, pp. 311-320
-
-
Qi, F.1
Guo, B.N.2
Chen, C.P.3
-
25
-
-
0000990016
-
A simple proof of monotonicity for extended mean values
-
QI, F.- LUO, Q. M.: A simple proof of monotonicity for extended mean values, J. Math. Anal. Appl. 224 (1998), 356-359.
-
(1998)
J.Math. Anal. Appl.
, vol.224
, pp. 356-359
-
-
Qi, F.1
Luo, Q.M.2
-
26
-
-
71649099826
-
Monotonic properties of differences for remainders of psi function
-
QI, F.- NIU, D. W.- GUO, B. N.: Monotonic properties of differences for remainders of psi function, Internat. J. Pure Appl. Math. Sci. 4 (2007), 59-66.
-
(2007)
Internat. J. Pure Appl. Math. Sci.
, vol.4
, pp. 59-66
-
-
Qi, F.1
Niu, D.W.2
Guo, B.N.3
-
27
-
-
71649086217
-
Monotonic properties of differences for remainders of psi function
-
QI, F.- NIU, D. W.- GUO, B. N.: Monotonic properties of differences for remainders of psi function, RGMIA Res. Rep. Coll. 8 (2005), 683-690.
-
(2005)
RGMIA Res. Rep. Coll.
, vol.8
, pp. 683-690
-
-
Qi, F.1
Niu, D.W.2
Guo, B.N.3
-
28
-
-
0031176236
-
Refinements and extensions of an inequality II
-
QI, F.- XU, S. L.: Refinements and extensions of an inequality II, J. Math. Anal. Appl. 211 (1997), 616-620.
-
(1997)
J. Math. Anal. Appl.
, vol.211
, pp. 616-620
-
-
Qi, F.1
Xu, S.L.2
-
29
-
-
22444453218
-
x)/x: Inequalities and properties
-
x)/x: Inequalities and properties, Proc. Amer. Math. Soc. 126 (1998), 3355-3359.
-
(1998)
Proc. Amer. Math. Soc.
, vol.126
, pp. 3355-3359
-
-
Qi, F.1
Xu, S.L.2
-
30
-
-
0000310946
-
A new proof of monotonicity for extended mean values
-
QI, F.- XU, S. L.- DEBNATH, L.: A new proof of monotonicity for extended mean values, Int. J. Math. Math. Sci. 22 (1999), 415-420.
-
(1999)
Int. J. Math. Math. Sci.
, vol.22
, pp. 415-420
-
-
Qi, F.1
Xu, S.L.2
Debnath, L.3
-
31
-
-
68949156248
-
A concise proof for properties of three functions involving the exponential function
-
ZHANG, SH. Q.- GUO, B. N.- QI, F.: A concise proof for properties of three functions involving the exponential function, Appl. Math. E-Notes 9 (2009), 177-183.
-
(2009)
Appl. Math. E-Notes
, vol.9
, pp. 177-183
-
-
Zhang, S.Q.1
Guo, B.N.2
Qi, F.3
|