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Author ID: yang.zhenhang Recent zbMATH articles by "Yang, Zhenhang"
Published as: Yang, Zhen-Hang; Yang, Zhenhang; Yang, Zhen Hang; Yang, Zhen-hang
all top 5

Serials

33 Journal of Inequalities and Applications
15 Mathematical Inequalities & Applications
14 Journal of Mathematical Analysis and Applications
10 Journal of Mathematical Inequalities
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Abstract and Applied Analysis
4 Applied Mathematics and Computation
4 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Mathematics in Practice and Theory
3 Applicable Analysis and Discrete Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Bulletin of the Korean Mathematical Society
2 International Journal of Mathematical Analysis (Ruse)
2 Journal of Nonlinear Science and Applications
2 Journal of Function Spaces
2 Open Mathematics
1 Periodica Mathematica Hungarica
1 Journal of Computational and Applied Mathematics
1 Publicationes Mathematicae Debrecen
1 Journal of Computational Mathematics
1 Linear Algebra and its Applications
1 Journal of Applied Analysis
1 The Ramanujan Journal
1 Revista Matemática Complutense
1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
1 CMES. Computer Modeling in Engineering & Sciences
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Hacettepe Journal of Mathematics and Statistics
1 Mediterranean Journal of Mathematics
1 International Mathematical Forum
1 Applied Mathematical Sciences (Ruse)
1 Pacific Journal of Applied Mathematics
1 Journal of Inequalities and Special Functions
1 Gulf Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 1,841 times in 473 Documents Cited by Year
On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind. Zbl 1387.33029
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
88
2018
On rational bounds for the gamma function. Zbl 1370.41056
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
83
2017
Monotonicity criterion for the quotient of power series with applications. Zbl 1321.26019
Yang, Zhen-Hang; Chu, Yu-Ming; Wang, Miao-Kun
82
2015
Notes on the complete elliptic integral of the first kind. Zbl 1440.33020
Yang, Zhen-Hang; Qian, Wei-Mao; Zhang, Wen; Chu, Yu-Ming
66
2020
A monotonicity property involving the generalized elliptic integral of the first kind. Zbl 1375.33026
Yang, Zhen-Hang; Chu, Yu-Ming
65
2017
Monotonicity properties and bounds involving the complete elliptic integrals of the first kind. Zbl 1403.33012
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming
60
2018
High accuracy asymptotic bounds for the complete elliptic integral of the second kind. Zbl 1428.33037
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
53
2019
Sharp Gautschi inequality for parameter \(0<p<1\) with applications. Zbl 1386.33005
Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
48
2017
Monotonicity rule for the quotient of two functions and its application. Zbl 1360.26008
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
48
2017
On approximating the error function. Zbl 1384.33008
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
38
2018
Convexity and monotonicity for the elliptic integrals of the first kind and applications. Zbl 1499.33073
Yang, Zhen-Hang; Tian, Jing-Feng
37
2019
Monotonicity rules for the ratio of two Laplace transforms with applications. Zbl 1412.44003
Yang, Zhenhang; Tian, Jing-Feng
36
2019
A double inequality for the trigamma function and its applications. Zbl 1474.33012
Yang, Zhen-Hang; Chu, Yu-Ming; Tao, Xiao-Jing
35
2014
Sharp inequalities for the generalized elliptic integrals of the first kind. Zbl 1408.33010
Yang, Zhen-Hang; Tian, Jingfeng
35
2019
Monotonicity and sharp inequalities related to gamma function. Zbl 1390.33010
Yang, Zhen-Hang; Tian, Jingfeng
35
2018
Monotonicity and inequalities for the gamma function. Zbl 1386.33003
Yang, Zhen-Hang; Tian, Jing-Feng
34
2017
Three families of two-parameter means constructed by trigonometric functions. Zbl 1297.26071
Yang, Zhen-Hang
34
2013
Sharp bounds for the ratio of two zeta functions. Zbl 1472.11233
Yang, Zhen-Hang; Tian, Jing-Feng
32
2020
A class of completely mixed monotonic functions involving the gamma function with applications. Zbl 1408.33006
Yang, Zhen-Hang; Tian, Jing-Feng
32
2018
Sharp rational bounds for the gamma function. Zbl 1455.33002
Shen, Jian-Mei; Yang, Zhen-Hang; Qian, Wei-Mao; Zhang, Wen; Chu, Yu-Ming
26
2020
Asymptotic formulas for gamma function with applications. Zbl 1410.33011
Yang, Zhen-Hang; Chu, Yu-Ming
25
2015
Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function. Zbl 1336.33005
Yang, Zhen-Hang
24
2016
A comparison theorem for two divided differences and applications to special functions. Zbl 1388.33002
Yang, Zhenhang; Tian, Jing-Feng
24
2018
Accurate approximations for the complete elliptic integral of the second kind. Zbl 1334.30015
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
22
2016
The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications. Zbl 1426.33015
Yang, Zhen-Hang; Zheng, Shen-Zhou
19
2017
Some properties of the divided difference of psi and polygamma functions. Zbl 1369.33007
Yang, Zhen-Hang
18
2017
Refinements of a two-sided inequality for trigonometric functions. Zbl 1298.26045
Yang, Zhen-Hang
18
2013
Sharp bounds for psi function. Zbl 1410.33012
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
18
2015
Sharp bounds for the arithmetic-geometric mean. Zbl 1308.26058
Yang, Zhen-Hang; Song, Ying-Qing; Chu, Yu-Ming
17
2014
Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means. Zbl 1396.33036
Yang, Zhen-Hang
16
2018
On approximating the modified Bessel function of the first kind and Toader-Qi mean. Zbl 1332.33009
Yang, Zhen-Hang; Chu, Yu-Ming
15
2016
Sharp inequalities for trigonometric functions. Zbl 1474.26058
Yang, Zhen-Hang; Jiang, Yun-Liang; Song, Ying-Qing; Chu, Yu-Ming
15
2014
Sharp Cusa type inequalities with two parameters and their applications. Zbl 1410.26028
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
15
2015
Sharp Stolarsky mean bounds for the complete elliptic integral of the second kind. Zbl 1412.33033
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
15
2017
Monotonicity properties of a function involving the psi function with applications. Zbl 1334.33014
Zhao, Tie-Hong; Yang, Zhen-Hang; Chu, Yu-Ming
14
2015
Complete monotonicity involving some ratios of gamma functions. Zbl 1372.33002
Yang, Zhen-Hang; Zheng, Shen-Zhou
14
2017
Sharp bounds for the ratio of modified Bessel functions. Zbl 1375.33011
Yang, Zhen-Hang; Zheng, Shen-Zhou
14
2017
Necessary and sufficient conditions for functions involving the psi function to be completely monotonic. Zbl 1334.33013
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
13
2015
On approximating the modified Bessel function of the second kind. Zbl 1357.33002
Yang, Zhen-Hang; Chu, Yu-Ming
13
2017
On the log-convexity of two-parameter homogeneous functions. Zbl 1129.26009
Yang, Zhenhang
13
2007
A positive answer to Bhatia-Li conjecture on the monotonicity for a new mean in its parameter. Zbl 1439.33002
Yang, Zhen-Hang; Tian, Jing-Feng; Wang, Miao-Kun
13
2020
Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean. Zbl 1342.33041
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
13
2016
Monotonicity of a mean related to polygamma functions with an application. Zbl 1347.33008
Yang, Zhen-Hang; Zheng, Shen-Zhou
13
2016
Inequalities for certain means in two arguments. Zbl 1336.26054
Yang, Zhen-Hang; Chu, Yu-Ming
12
2015
On the monotonicity and log-convexity of a four-parameter homogeneous mean. Zbl 1152.26333
Yang, Zhen-Hang
12
2008
Comparison of four multiscale methods for elliptic problems. Zbl 1357.65270
Wu, Y. T.; Nie, Y. F.; Yang, Z. H.
12
2014
Sharp power mean bounds for Sándor mean. Zbl 1470.26048
Chu, Yu-Ming; Yang, Zhen-Hang; Wu, Li-Min
12
2015
A note on Jordan, Adamović-Mitrinović, and Cusa inequalities. Zbl 1469.26019
Yang, Zhen-Hang; Chu, Yu-Ming
12
2014
Schur power convexity of Stolarsky means. Zbl 1299.26035
Yang, Zhen-Hang
11
2012
Sharp bounds for Seiffert mean in terms of weighted power means of arithmetic mean and geometric mean. Zbl 1293.26019
Yang, Zhen-Hang
11
2014
Optimal power mean bounds for Yang mean. Zbl 1339.26086
Yang, Zhen-Hang; Wu, Li-Min; Chu, Yu-Ming
11
2014
Sharp bounds for Toader-Qi mean in terms of logarithmic and identric means. Zbl 1337.26063
Yang, Zhen-Hang; Chu, Yu-Ming; Song, Ying-Qing
11
2016
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications. Zbl 1382.26008
Yang, Zhen-Hang; Zheng, Shen-Zhou
11
2018
Schur power convexity of the Daróczy means. Zbl 1277.26050
Yang, Zhen-Hang
11
2013
Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications. Zbl 1346.33001
Yang, Zhen-Hang; Chu, Yu-Ming
11
2016
New sharp Jordan type inequalities and their application. Zbl 1389.26032
Yang, Zhen-Hang
10
2014
An optimal inequalities chain for bivariate means. Zbl 1314.26039
Yang, Zhen-Hang; Chu, Yu-Ming
10
2015
On approximating Mills ratio. Zbl 1333.60023
Yang, Zhen-Hang; Chu, Yu-Ming
10
2015
A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder. Zbl 1435.41034
Yang, Zhen-Hang; Tian, Jing-Feng; Ha, Ming-Hu
10
2020
A family of high order approximations of Ramanujan type for perimeter of an ellipse. Zbl 1467.33021
Tian, Jing-Feng; Yang, Zhenhang; Ha, Ming-Hu; Xing, Hong-Jie
10
2021
A sharp double inequality for trigonometric functions and its applications. Zbl 1474.26057
Yang, Zhen-Hang; Chu, Yu-Ming; Song, Ying-Qing; Li, Yong-Min
10
2014
An accurate approximation formula for gamma function. Zbl 1497.33002
Yang, Zhen-Hang; Tian, Jing-Feng
10
2018
Two asymptotic expansions for gamma function developed by Windschitl’s formula. Zbl 1409.33001
Yang, Zhen-Hang; Tian, Jing-Feng
10
2018
Asymptotic expansions of Gurland’s ratio and sharp bounds for their remainders. Zbl 1450.33006
Tian, Jing-Feng; Yang, Zhenhang
10
2021
Generalized Wilker-type inequalities with two parameters. Zbl 1342.26039
Chu, Hong-Hu; Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
10
2016
A double inequality for an integral mean in terms of the exponential and logarithmic means. Zbl 1413.26061
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang; Yang, Zhen-Hang
10
2017
Estimates for Neuman-Sándor mean by power means and their relative errors. Zbl 1297.26072
Yang, Zhen-Hang
9
2013
Complete monotonicity and inequalites involving Gurland’s ratios of gamma functions. Zbl 1416.33005
Yang, Zhen-Hang; Zheng, Shen-Zhou
9
2019
Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function. Zbl 1426.33005
Yang, Zhen-Hang; Tian, Jing-Feng
9
2019
Schur power convexity of Gini means. Zbl 1284.26016
Yang, Zhen-Hang
9
2013
Optimal inequalities involving power-exponential mean, arithmetic mean and geometric mean. Zbl 1379.26032
Yang, Zhen-Hang; Tian, Jingfeng
8
2017
New sharp bounds for logarithmic mean and identric mean. Zbl 1285.26054
Yang, Zhen-Hang
8
2013
On the homogeneous functions with two parameters and its monotonicity. Zbl 1079.26006
Yang, Zhen-Hang
8
2005
Asymptotic expansions for the gamma function in terms of hyperbolic functions. Zbl 1416.33004
Yang, Zhenhang; Tian, Jing-Feng
8
2019
New sharp bounds for identric mean in terms of logarithmic mean and arithmetic mean. Zbl 1257.26032
Yang, Zhen-Hang
8
2012
Sharp Wilker-type inequalities with applications. Zbl 1372.26011
Yang, Zhen-Hang; Chu, Yu-Ming
7
2014
A new proof of inequalities for Gauss compound mean. Zbl 1206.26023
Yang, Zhen-hang
7
2010
A sharp lower bound for the complete elliptic integrals of the first kind. Zbl 1455.33014
Yang, Zhen-Hang; Tian, Jing-Feng; Zhu, Ya-Ru
7
2021
Monotonicity of the incomplete gamma function with applications. Zbl 1350.33004
Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
7
2016
New sharp approximations involving incomplete gamma functions. Zbl 1371.33012
Luo, Tian-Qi; Lv, Hui-Lin; Yang, Zhen-Hang; Zheng, Shen-Zhou
6
2017
A new proof for the monotonicity criterion of the quotient of two power series on the infinite interval. Zbl 1347.26028
Xia, Fang-Li; Yang, Zhen-Hang; Chu, Yu-Ming
6
2015
Sharp inequalities for tangent function with applications. Zbl 1360.33003
Lv, Hui-Lin; Yang, Zhen-Hang; Luo, Tian-Qi; Zheng, Shen-Zhou
6
2017
Monotonicity of the ratio of modified Bessel functions of the first kind with applications. Zbl 1497.33009
Yang, Zhen-Hang; Zheng, Shen-Zhou
6
2018
Monotonicity and inequalities involving the incomplete gamma function. Zbl 1346.33005
Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
6
2016
On approximating the error function. Zbl 1349.33003
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
Polynomial Bézoutian matrix with respect to a general basis. Zbl 0980.15022
Yang, Z. H.
5
2001
Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications. Zbl 1331.26024
Yang, Zhen-Hang; Chu, Yu-Ming
5
2015
A sharp lower bound for Toader-Qi mean with applications. Zbl 1339.26085
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
A sharp double inequality involving trigonometric functions and its applications. Zbl 1337.26024
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
Generalizations of Hu-type inequalities and their applications. Zbl 1412.26063
Tian, Jingfeng; Yang, Zhen-Hang
5
2017
Improvements of the bounds for Ramanujan constant function. Zbl 1346.33002
Chu, Hong-Hu; Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
5
2016
Optimal evaluations for the Sándor-Yang mean by power mean. Zbl 1351.26054
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
Optimal power mean bounds for the second Yang mean. Zbl 1336.26053
Li, Jun-Feng; Yang, Zhen-Hang; Chu, Yu-Ming
4
2016
The log-convexity of another class of one-parameter means and its applications. Zbl 1238.26031
Yang, Zhen-Hang
4
2012
Some monotonicity results for the ratio of two-parameter symmetric homogeneous functions. Zbl 1186.26027
Yang, Zhen-Hang
4
2009
Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means. Zbl 1190.26004
Yang, Zhen-Hang
4
2010
Differential criterion of \(n\)-dimensional geometrically convex functions. Zbl 1132.26379
Zhang, Xiao-Ming; Yang, Zhen-Hang
4
2007
Sharp bounds for the Toader mean in terms of arithmetic and geometric means. Zbl 1475.26032
Yang, Zhen-Hang; Tian, Jing-Feng
4
2021
Monotonicity and inequalities involving the modified Bessel functions of the second kind. Zbl 1501.33001
Yang, Zhen-Hang; Chu, Yu-Ming
4
2022
Absolute monotonicity involving the complete elliptic integrals of the first kind with applications. Zbl 1513.33048
Yang, Zhenhang; Tian, Jingfeng
4
2022
Convexity and monotonicity involving the complete elliptic integral of the first kind. Zbl 1527.33015
Tian, Jing-Feng; Yang, Zhen-Hang
3
2023
Convexity of ratios of the modified Bessel functions of the first kind with applications. Zbl 07741370
Yang, Zhen-Hang; Tian, Jing-Feng
2
2023
Complete monotonicity of the remainder of the asymptotic series for the ratio of two gamma functions. Zbl 1522.33001
Yang, Zhenhang; Tian, Jing-Feng
2
2023
Monotonicity results involving the zeta function with applications. Zbl 1495.11105
Yang, Zhenhang; Tian, Jing-Feng
1
2023
Monotonicity and inequalities involving the modified Bessel functions of the second kind. Zbl 1501.33001
Yang, Zhen-Hang; Chu, Yu-Ming
4
2022
Absolute monotonicity involving the complete elliptic integrals of the first kind with applications. Zbl 1513.33048
Yang, Zhenhang; Tian, Jingfeng
4
2022
Several absolutely monotonic functions related to the complete elliptic integral of the first kind. Zbl 1514.33012
Tian, Jing-Feng; Yang, Zhen-Hang
3
2022
Convexity of a ratio of the modified Bessel functions of the second kind with applications. Zbl 1509.33007
Yang, Zhen-Hang; Tian, Jing-Feng
3
2022
Logarithmically complete monotonicity of ratios of \(q\)-gamma functions. Zbl 1498.33003
Tian, Jing-Feng; Yang, Zhenhang
2
2022
A family of high order approximations of Ramanujan type for perimeter of an ellipse. Zbl 1467.33021
Tian, Jing-Feng; Yang, Zhenhang; Ha, Ming-Hu; Xing, Hong-Jie
10
2021
Asymptotic expansions of Gurland’s ratio and sharp bounds for their remainders. Zbl 1450.33006
Tian, Jing-Feng; Yang, Zhenhang
10
2021
A sharp lower bound for the complete elliptic integrals of the first kind. Zbl 1455.33014
Yang, Zhen-Hang; Tian, Jing-Feng; Zhu, Ya-Ru
7
2021
Sharp bounds for the Toader mean in terms of arithmetic and geometric means. Zbl 1475.26032
Yang, Zhen-Hang; Tian, Jing-Feng
4
2021
Absolutely monotonic functions involving the complete elliptic integrals of the first kind with applications. Zbl 1483.33011
Yang, Zhen-Hang; Tian, Jing-Feng
3
2021
New properties of the divided difference of psi and polygamma functions. Zbl 1483.33002
Tian, Jing-Feng; Yang, Zhen-Hang
2
2021
Notes on the complete elliptic integral of the first kind. Zbl 1440.33020
Yang, Zhen-Hang; Qian, Wei-Mao; Zhang, Wen; Chu, Yu-Ming
66
2020
Sharp bounds for the ratio of two zeta functions. Zbl 1472.11233
Yang, Zhen-Hang; Tian, Jing-Feng
32
2020
Sharp rational bounds for the gamma function. Zbl 1455.33002
Shen, Jian-Mei; Yang, Zhen-Hang; Qian, Wei-Mao; Zhang, Wen; Chu, Yu-Ming
26
2020
A positive answer to Bhatia-Li conjecture on the monotonicity for a new mean in its parameter. Zbl 1439.33002
Yang, Zhen-Hang; Tian, Jing-Feng; Wang, Miao-Kun
13
2020
A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder. Zbl 1435.41034
Yang, Zhen-Hang; Tian, Jing-Feng; Ha, Ming-Hu
10
2020
Some properties of the generalized Gaussian ratio and their applications. Zbl 1439.62064
Yang, Zhen-Hang; Xi, Bo-Yan; Zheng, Shen-Zhou
3
2020
High accuracy asymptotic bounds for the complete elliptic integral of the second kind. Zbl 1428.33037
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
53
2019
Convexity and monotonicity for the elliptic integrals of the first kind and applications. Zbl 1499.33073
Yang, Zhen-Hang; Tian, Jing-Feng
37
2019
Monotonicity rules for the ratio of two Laplace transforms with applications. Zbl 1412.44003
Yang, Zhenhang; Tian, Jing-Feng
36
2019
Sharp inequalities for the generalized elliptic integrals of the first kind. Zbl 1408.33010
Yang, Zhen-Hang; Tian, Jingfeng
35
2019
Complete monotonicity and inequalites involving Gurland’s ratios of gamma functions. Zbl 1416.33005
Yang, Zhen-Hang; Zheng, Shen-Zhou
9
2019
Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function. Zbl 1426.33005
Yang, Zhen-Hang; Tian, Jing-Feng
9
2019
Asymptotic expansions for the gamma function in terms of hyperbolic functions. Zbl 1416.33004
Yang, Zhenhang; Tian, Jing-Feng
8
2019
The monotonicity of ratios involving arc tangent function with applications. Zbl 1513.33002
Yang, Zhen-Hang; Tin, King-Fung; Gao, Qin
3
2019
On Burnside type approximation for the gamma function. Zbl 1428.33006
Yang, Zhen-Hang; Tian, Jing-Feng
2
2019
Monotonicity and inequalities involving the incomplete gamma function. Zbl 1425.33004
Lv, Hui-Lin; Yang, Zhen-Hang; Zheng, Shenzhou
1
2019
On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind. Zbl 1387.33029
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
88
2018
Monotonicity properties and bounds involving the complete elliptic integrals of the first kind. Zbl 1403.33012
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming
60
2018
On approximating the error function. Zbl 1384.33008
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
38
2018
Monotonicity and sharp inequalities related to gamma function. Zbl 1390.33010
Yang, Zhen-Hang; Tian, Jingfeng
35
2018
A class of completely mixed monotonic functions involving the gamma function with applications. Zbl 1408.33006
Yang, Zhen-Hang; Tian, Jing-Feng
32
2018
A comparison theorem for two divided differences and applications to special functions. Zbl 1388.33002
Yang, Zhenhang; Tian, Jing-Feng
24
2018
Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means. Zbl 1396.33036
Yang, Zhen-Hang
16
2018
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications. Zbl 1382.26008
Yang, Zhen-Hang; Zheng, Shen-Zhou
11
2018
An accurate approximation formula for gamma function. Zbl 1497.33002
Yang, Zhen-Hang; Tian, Jing-Feng
10
2018
Two asymptotic expansions for gamma function developed by Windschitl’s formula. Zbl 1409.33001
Yang, Zhen-Hang; Tian, Jing-Feng
10
2018
Monotonicity of the ratio of modified Bessel functions of the first kind with applications. Zbl 1497.33009
Yang, Zhen-Hang; Zheng, Shen-Zhou
6
2018
Windschitl type approximation formulas for the gamma function. Zbl 1498.33004
Yang, Zhen-Hang; Tian, Jing-Feng
3
2018
Sharp Smith’s bounds for the gamma function. Zbl 1381.33002
Li, Xi-Qiao; Liu, Zhi-Ming; Yang, Zhen-Hang; Zheng, Shen-Zhou
1
2018
A family of Windschitl type approximations for gamma function. Zbl 1403.33003
Yang, Zhen-Hang; Tian, Jing-Feng
1
2018
On rational bounds for the gamma function. Zbl 1370.41056
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
83
2017
A monotonicity property involving the generalized elliptic integral of the first kind. Zbl 1375.33026
Yang, Zhen-Hang; Chu, Yu-Ming
65
2017
Sharp Gautschi inequality for parameter \(0<p<1\) with applications. Zbl 1386.33005
Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
48
2017
Monotonicity rule for the quotient of two functions and its application. Zbl 1360.26008
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen
48
2017
Monotonicity and inequalities for the gamma function. Zbl 1386.33003
Yang, Zhen-Hang; Tian, Jing-Feng
34
2017
The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications. Zbl 1426.33015
Yang, Zhen-Hang; Zheng, Shen-Zhou
19
2017
Some properties of the divided difference of psi and polygamma functions. Zbl 1369.33007
Yang, Zhen-Hang
18
2017
Sharp Stolarsky mean bounds for the complete elliptic integral of the second kind. Zbl 1412.33033
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
15
2017
Complete monotonicity involving some ratios of gamma functions. Zbl 1372.33002
Yang, Zhen-Hang; Zheng, Shen-Zhou
14
2017
Sharp bounds for the ratio of modified Bessel functions. Zbl 1375.33011
Yang, Zhen-Hang; Zheng, Shen-Zhou
14
2017
On approximating the modified Bessel function of the second kind. Zbl 1357.33002
Yang, Zhen-Hang; Chu, Yu-Ming
13
2017
A double inequality for an integral mean in terms of the exponential and logarithmic means. Zbl 1413.26061
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang; Yang, Zhen-Hang
10
2017
Optimal inequalities involving power-exponential mean, arithmetic mean and geometric mean. Zbl 1379.26032
Yang, Zhen-Hang; Tian, Jingfeng
8
2017
New sharp approximations involving incomplete gamma functions. Zbl 1371.33012
Luo, Tian-Qi; Lv, Hui-Lin; Yang, Zhen-Hang; Zheng, Shen-Zhou
6
2017
Sharp inequalities for tangent function with applications. Zbl 1360.33003
Lv, Hui-Lin; Yang, Zhen-Hang; Luo, Tian-Qi; Zheng, Shen-Zhou
6
2017
Generalizations of Hu-type inequalities and their applications. Zbl 1412.26063
Tian, Jingfeng; Yang, Zhen-Hang
5
2017
On converses of some comparison inequalities for homogeneous means. Zbl 1379.26031
Yang, Zhen-Hang
2
2017
Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function. Zbl 1336.33005
Yang, Zhen-Hang
24
2016
Accurate approximations for the complete elliptic integral of the second kind. Zbl 1334.30015
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
22
2016
On approximating the modified Bessel function of the first kind and Toader-Qi mean. Zbl 1332.33009
Yang, Zhen-Hang; Chu, Yu-Ming
15
2016
Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean. Zbl 1342.33041
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
13
2016
Monotonicity of a mean related to polygamma functions with an application. Zbl 1347.33008
Yang, Zhen-Hang; Zheng, Shen-Zhou
13
2016
Sharp bounds for Toader-Qi mean in terms of logarithmic and identric means. Zbl 1337.26063
Yang, Zhen-Hang; Chu, Yu-Ming; Song, Ying-Qing
11
2016
Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications. Zbl 1346.33001
Yang, Zhen-Hang; Chu, Yu-Ming
11
2016
Generalized Wilker-type inequalities with two parameters. Zbl 1342.26039
Chu, Hong-Hu; Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Wen
10
2016
Monotonicity of the incomplete gamma function with applications. Zbl 1350.33004
Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
7
2016
Monotonicity and inequalities involving the incomplete gamma function. Zbl 1346.33005
Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
6
2016
On approximating the error function. Zbl 1349.33003
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
A sharp lower bound for Toader-Qi mean with applications. Zbl 1339.26085
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
A sharp double inequality involving trigonometric functions and its applications. Zbl 1337.26024
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
Improvements of the bounds for Ramanujan constant function. Zbl 1346.33002
Chu, Hong-Hu; Yang, Zhen-Hang; Zhang, Wen; Chu, Yu-Ming
5
2016
Optimal evaluations for the Sándor-Yang mean by power mean. Zbl 1351.26054
Yang, Zhen-Hang; Chu, Yu-Ming
5
2016
Optimal power mean bounds for the second Yang mean. Zbl 1336.26053
Li, Jun-Feng; Yang, Zhen-Hang; Chu, Yu-Ming
4
2016
Necessary and sufficient conditions for the two parameter generalized Wilker-type inequalities. Zbl 1351.26032
Sun, Hui; Yang, Zhen-Hang; Chu, Yu-Ming
3
2016
Monotonicity criterion for the quotient of power series with applications. Zbl 1321.26019
Yang, Zhen-Hang; Chu, Yu-Ming; Wang, Miao-Kun
82
2015
Asymptotic formulas for gamma function with applications. Zbl 1410.33011
Yang, Zhen-Hang; Chu, Yu-Ming
25
2015
Sharp bounds for psi function. Zbl 1410.33012
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
18
2015
Sharp Cusa type inequalities with two parameters and their applications. Zbl 1410.26028
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
15
2015
Monotonicity properties of a function involving the psi function with applications. Zbl 1334.33014
Zhao, Tie-Hong; Yang, Zhen-Hang; Chu, Yu-Ming
14
2015
Necessary and sufficient conditions for functions involving the psi function to be completely monotonic. Zbl 1334.33013
Yang, Zhen-Hang; Chu, Yu-Ming; Zhang, Xiao-Hui
13
2015
Inequalities for certain means in two arguments. Zbl 1336.26054
Yang, Zhen-Hang; Chu, Yu-Ming
12
2015
Sharp power mean bounds for Sándor mean. Zbl 1470.26048
Chu, Yu-Ming; Yang, Zhen-Hang; Wu, Li-Min
12
2015
An optimal inequalities chain for bivariate means. Zbl 1314.26039
Yang, Zhen-Hang; Chu, Yu-Ming
10
2015
On approximating Mills ratio. Zbl 1333.60023
Yang, Zhen-Hang; Chu, Yu-Ming
10
2015
A new proof for the monotonicity criterion of the quotient of two power series on the infinite interval. Zbl 1347.26028
Xia, Fang-Li; Yang, Zhen-Hang; Chu, Yu-Ming
6
2015
Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications. Zbl 1331.26024
Yang, Zhen-Hang; Chu, Yu-Ming
5
2015
Jordan type inequalities for hyperbolic functions and their applications. Zbl 1323.26021
Yang, Zhen-Hang; Chu, Yu-Ming
3
2015
A double inequality for the trigamma function and its applications. Zbl 1474.33012
Yang, Zhen-Hang; Chu, Yu-Ming; Tao, Xiao-Jing
35
2014
Sharp bounds for the arithmetic-geometric mean. Zbl 1308.26058
Yang, Zhen-Hang; Song, Ying-Qing; Chu, Yu-Ming
17
2014
Sharp inequalities for trigonometric functions. Zbl 1474.26058
Yang, Zhen-Hang; Jiang, Yun-Liang; Song, Ying-Qing; Chu, Yu-Ming
15
2014
Comparison of four multiscale methods for elliptic problems. Zbl 1357.65270
Wu, Y. T.; Nie, Y. F.; Yang, Z. H.
12
2014
A note on Jordan, Adamović-Mitrinović, and Cusa inequalities. Zbl 1469.26019
Yang, Zhen-Hang; Chu, Yu-Ming
12
2014
Sharp bounds for Seiffert mean in terms of weighted power means of arithmetic mean and geometric mean. Zbl 1293.26019
Yang, Zhen-Hang
11
2014
Optimal power mean bounds for Yang mean. Zbl 1339.26086
Yang, Zhen-Hang; Wu, Li-Min; Chu, Yu-Ming
11
2014
New sharp Jordan type inequalities and their application. Zbl 1389.26032
Yang, Zhen-Hang
10
2014
...and 26 more Documents
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Cited by 446 Authors

158 Chu, Yuming
88 Yang, Zhenhang
45 Tian, Jingfeng
38 Qian, Weimao
37 Wang, Miaokun
33 Zhao, Tiehong
29 Qi, Feng
28 Rashid, Saima
28 Zhu, Ling
23 Khan, Muhammad Adil
18 Zhang, Wen
16 Noor, Muhammad Aslam
12 Zheng, Shenzhou
11 Chen, Xiaodiao
11 He, Zaiyin
10 Xu, Huizuo
9 Chu, Hong-Hu
9 Wu, Shanhe
8 Khurshid, Yousaf
8 Malešević, Branko J.
8 Noor, Khalida Inayat
8 Qiu, Songliang
8 Zhang, Xiaohui
7 Awan, Muhammad Uzair
7 Bagul, Yogesh Jibhau
7 Huang, TiRen
7 Jarad, Fahd
7 Ma, Xiaoyan
7 Song, Yingqing
6 Băleanu, Dumitru I.
6 Mao, Zhong-Xuan
5 Ashraf, Rehana
5 Bhayo, Barkat Ali
5 Chesneau, Christophe
5 Ha, Minghu
5 Hammouch, Zakia
5 Kalsoom, Humaira
5 Kashuri, Artion
5 Lim, Dongkyu
5 Shi, Huannan
5 Sooppy Nisar, Kottakkaran
5 Yin, Li
4 Abdeljawad, Thabet
4 Akdemir, Ahmet Ocak
4 Bao, Qi
4 Dhaigude, Ramkrishna M.
4 Fu, Chunru
4 Guo, Bai-Ni
4 Khan, Zareen Abdulhameed
4 Rahman, Gauhar
4 Richards, Kendall C.
4 Talib, Sadia
4 Wang, Dongsheng
4 Yan, Fei
4 Yang, Yueying
4 Zaheer Ullah, Syed
4 Zhou, Shuangshuang
3 Baricz, Árpád
3 Chen, Yajun
3 Ganie, Javid Ahmad
3 Iqbal, Arshad
3 Latif, Muhammad Amer
3 Li, Yongmin
3 Liu, Jia-bao
3 Liu, Zhiming
3 Long, Boyong
3 Lutovac, Tatjana
3 Lv, Huilin
3 Mahmoud, Mansour
3 Raïssouli, Mustapha
3 Safdar, Farhat
3 Sándor, József
3 Tan, Shenyang
3 Valdes, Juan Eduardo Napoles
3 Wang, Fei
3 Wang, Wen
3 Yang, Kang
3 Zhang, Hongwei
2 Agarwal, Ravi P.
2 Agarwal, Ritu
2 Akhtar, Nousheen
2 Alzer, Horst
2 Baloch, Imran Abbas
2 Bayraktar, Bahtiyar
2 Bercu, Gabriel
2 Bisht, Nitin
2 Chen, Lu
2 Chen, Shubo
2 Chen, Wenbin
2 Deng, Yongping
2 Ding, Qing
2 Dragomir, Sever Silvestru
2 Du, Tingsong
2 Eldeeb, Ahmed Abdel-Moneim
2 Gao, Fang
2 Gao, Qin
2 Gasimov, Yusif S.
2 Gaunt, Robert Edward
2 Hai, Guo-Jing
2 Han, Tianyong
...and 346 more Authors
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Cited in 104 Serials

91 Journal of Inequalities and Applications
51 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
33 AIMS Mathematics
29 Journal of Mathematical Inequalities
23 Journal of Mathematical Analysis and Applications
20 Journal of Function Spaces
18 Mathematical Inequalities & Applications
15 Advances in Difference Equations
9 Results in Mathematics
9 Applicable Analysis and Discrete Mathematics
7 Mathematica Slovaca
7 Abstract and Applied Analysis
7 Acta Mathematica Scientia. Series B. (English Edition)
6 Mathematical Problems in Engineering
6 Open Mathematics
5 Applied Mathematics and Computation
5 Journal of Computational and Applied Mathematics
5 Proceedings of the American Mathematical Society
4 The Ramanujan Journal
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Computational Methods and Function Theory
3 Demonstratio Mathematica
3 Turkish Journal of Mathematics
3 Integral Transforms and Special Functions
3 Applied Mathematics E-Notes
2 Indian Journal of Pure & Applied Mathematics
2 Periodica Mathematica Hungarica
2 International Journal of Mathematics and Mathematical Sciences
2 Neural Networks
2 Applied Mathematics. Series B (English Edition)
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
2 Fractals
2 Filomat
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Hacettepe Journal of Mathematics and Statistics
2 Mathematical Biosciences and Engineering
2 Proyecciones
2 Tbilisi Mathematical Journal
2 Journal of Nonlinear Science and Applications
2 Fractional Differential Calculus
2 Problemy Analiza. Issues of Analysis
2 Electronic Journal of Mathematical Analysis and Applications EJMAA
2 Bollettino dell’Unione Matematica Italiana
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Fasciculi Mathematici
1 Hokkaido Mathematical Journal
1 Journal of Economic Theory
1 Journal of the Korean Mathematical Society
1 Journal of Number Theory
1 Transactions of the American Mathematical Society
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 Circuits, Systems, and Signal Processing
1 Probability and Mathematical Statistics
1 Bulletin of the Iranian Mathematical Society
1 Sequential Analysis
1 Constructive Approximation
1 Journal of Theoretical Probability
1 Journal of Scientific Computing
1 Journal of the Ramanujan Mathematical Society
1 Economics Letters
1 Differential Geometry and its Applications
1 Acta Mathematica Universitatis Comenianae. New Series
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Communications in Statistics. Theory and Methods
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 The Journal of Analysis
1 Journal of Mathematical Sciences (New York)
1 Engineering Analysis with Boundary Elements
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Finance and Stochastics
1 European Journal of Control
1 Chaos
1 Revista Matemática Complutense
1 Journal of Mathematical Fluid Mechanics
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Journal of High Energy Physics
1 Annales Mathematicae Silesianae
1 Kragujevac Journal of Mathematics
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Mediterranean Journal of Mathematics
1 Cubo
1 Boundary Value Problems
1 São Paulo Journal of Mathematical Sciences
1 Acta Universitatis Sapientiae. Mathematica
1 Symmetry
1 Arabian Journal of Mathematics
1 Journal of Mahani Mathematical Research Center
1 Journal of Mathematics
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
...and 4 more Serials
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Cited in 37 Fields

374 Real functions (26-XX)
260 Special functions (33-XX)
27 Number theory (11-XX)
27 Approximations and expansions (41-XX)
20 Probability theory and stochastic processes (60-XX)
18 Integral transforms, operational calculus (44-XX)
16 Partial differential equations (35-XX)
15 Combinatorics (05-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
10 Functions of a complex variable (30-XX)
9 Difference and functional equations (39-XX)
8 Statistics (62-XX)
7 Sequences, series, summability (40-XX)
7 Numerical analysis (65-XX)
6 Ordinary differential equations (34-XX)
6 Integral equations (45-XX)
6 Systems theory; control (93-XX)
4 Operator theory (47-XX)
4 Fluid mechanics (76-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Biology and other natural sciences (92-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Geometry (51-XX)
3 Differential geometry (53-XX)
3 Information and communication theory, circuits (94-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Functional analysis (46-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)

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