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Author ID: chen.chaoping Recent zbMATH articles by "Chen, Chaoping"
Published as: Chen, Chao-Ping; Chen, Chaoping; Chen, Chao Ping; Chen, Ch.-P.; Chen, C. P.
External Links: ORCID · ResearchGate · dblp
all top 5

Serials

19 Journal of Inequalities and Applications
16 Applied Mathematics and Computation
14 Mathematical Inequalities & Applications
14 Journal of Mathematical Inequalities
11 Journal of Number Theory
10 Tamkang Journal of Mathematics
10 Integral Transforms and Special Functions
8 Applicable Analysis and Discrete Mathematics
7 Journal of Mathematical Analysis and Applications
6 Applied Mathematics Letters
6 The Ramanujan Journal
6 Advanced Studies in Contemporary Mathematics (Kyungshang)
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 The Australian Journal of Mathematical Analysis and Applications
4 Results in Mathematics
4 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
3 Mathematics in Practice and Theory
3 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika
3 General Mathematics
3 Proceedings of the Jangjeon Mathematical Society
3 Carpathian Journal of Mathematics
2 Computers & Mathematics with Applications
2 Rocky Mountain Journal of Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Numerical Algorithms
2 Expositiones Mathematicae
2 The Journal of Fuzzy Mathematics
2 Mediterranean Journal of Mathematics
2 Scientia Magna
2 Communications in Mathematical Analysis
2 Creative Mathematics and Informatics
2 Journal of Science and Arts
2 Journal of Classical Analysis
2 Molecular Based Mathematical Biology
1 American Mathematical Monthly
1 Advances in Mathematics
1 Journal of the Korean Mathematical Society
1 Proceedings of the American Mathematical Society
1 Studia Scientiarum Mathematicarum Hungarica
1 Journal of Mathematical Research & Exposition
1 Statistics & Probability Letters
1 Chinese Annals of Mathematics. Series A
1 Bulletin of the Iranian Mathematical Society
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Computational and Applied Mathematics
1 East Journal on Approximations
1 Journal of Computational Analysis and Applications
1 Communications of the Korean Mathematical Society
1 Journal of Nonlinear and Convex Analysis
1 Journal of the Australian Mathematical Society
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Cubo Matemática Educacional
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Indonesian Mathematical Society
1 International Journal of Applied Mathematical Sciences
1 Proyecciones
1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
1 Journal of Advanced Mathematical Studies
1 Bulletin of Mathematical Analysis and Applications
1 Bulletin of the Transilvania University of Brașov. Series III. Mathematics, Informatics, Physics
1 Scientia Sinica. Mathematica
1 Computational and Mathematical Biophysics
1 Contributions to Mathematics

Publications by Year

Citations contained in zbMATH Open

170 Publications have been cited 1,288 times in 525 Documents Cited by Year
A complete monotonicity property of the gamma function. Zbl 1046.33001
Qi, Feng; Chen, Chao-Ping
83
2004
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1094.33002
Qi, Feng; Guo, Baini; Chen, Chaoping
46
2006
The best bounds in Wallis’ inequality. Zbl 1049.05006
Chen, Chao-Ping; Qi, Feng
36
2005
Some completely monotonic functions involving polygamma functions and an application. Zbl 1074.33005
Qi, Feng; Cui, Run-Qing; Chen, Chao-Ping; Guo, Bai-Ni
35
2005
Asymptotic formulae associated with the Wallis power function and digamma function. Zbl 1412.33001
Chen, Chao-Ping; Elezović, Neven; Vukšić, Lenka
35
2013
Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. Zbl 1328.33001
Chen, Chao-Ping; Paris, Richard B.
34
2015
Logarithmically completely monotonic functions relating to the gamma function. Zbl 1099.33002
Chen, Chao-Ping; Qi, Feng
32
2006
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
30
2010
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
28
2012
Sharp Cusa and Becker-Stark inequalities. Zbl 1275.26025
Chen, Chao-Ping; Cheung, Wing-Sum
27
2011
Remarks on asymptotic expansions for the gamma function. Zbl 1254.33002
Chen, Chao-Ping; Lin, Long
23
2012
Unified treatment of several asymptotic formulas for the gamma function. Zbl 1280.33003
Chen, Chao-Ping
22
2013
The best bounds in Gautschi-Kershaw inequalities. Zbl 1101.33001
Qi, Feng; Guo, Bai-Ni; Chen, Chao-Ping
21
2006
Inequalities for the Euler-Mascheroni constant. Zbl 1203.26025
Chen, Chao-Ping
21
2010
Completely monotonic function associated with the gamma functions and proof of Wallis’ inequality. Zbl 1092.33002
Chen, Chaoping; Qi, Feng
19
2005
Sharpness of Wilker and Huygens type inequalities. Zbl 1279.26030
Chen, Chao-Ping; Cheung, Wing-Sum
19
2012
Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes \(G\)-function. Zbl 1213.33004
Chen, Chao-Ping; Srivastava, H. M.
18
2011
Asymptotic expansions of the gamma function related to Windschitl’s formula. Zbl 1335.41007
Chen, Chao-Ping
17
2014
Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem. Zbl 1254.26022
Chen, Chao-Ping; Cheung, Wing-Sum
17
2012
Asymptotic expansions for Barnes \(G\)-function. Zbl 1373.33003
Chen, Chao-Ping
15
2014
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
15
2013
Glaisher-Kinkelin constant. Zbl 1300.11135
Chen, Chao-Ping
15
2012
Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions. Zbl 1264.26018
Chen, Chao-Ping
15
2012
Inequality chains for Wilker, Huygens and Lazarević type inequalities. Zbl 1294.26016
Chen, Chao-Ping; Sándor, József
14
2014
Wilker and Huygens type inequalities for the lemniscate functions. Zbl 1268.26025
Chen, Chao-Ping
13
2012
Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant. Zbl 1230.33004
Chen, Chao-Ping; Srivastava, H. M.; Li, Li; Manyama, Seiichi
13
2011
Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions. Zbl 1121.33001
Chen, Chao-Ping
13
2007
Inequalities and monotonicity properties for some special functions. Zbl 1177.33005
Chen, Chao-Ping
13
2009
Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials. Zbl 1319.11094
Chen, Chao-Ping; Lin, Long
12
2013
A more accurate approximation for the gamma function. Zbl 1334.33005
Chen, Chao-Ping
12
2016
Ramanujan’s asymptotic expansion for the harmonic numbers. Zbl 1381.11116
Chen, Chao-Ping; Cheng, Jun-Xiang
11
2015
Sharp inequalities for trigonometric and hyperbolic functions. Zbl 1315.26011
Chen, Chao-Ping; Sándor, József
11
2015
Monotonicity and convexity for the gamma function. Zbl 1081.33004
Chen, Chao-Ping
11
2005
Sharp Shafer-Fink type inequalities for Gauss lemniscate functions. Zbl 1332.26029
Deng, Ji-En; Chen, Chao-Ping
11
2014
Monotonicity of ratio between the generalized logarithmic means. Zbl 1127.26021
Qi, Feng; Chen, Shouxin; Chen, Chaoping
11
2007
Inequalities associated with Barnes \(G\)-function. Zbl 1216.33004
Chen, Chao-Ping
11
2011
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1132.33301
Li, Ai-Jun; Chen, Chao-Ping
10
2008
The monotonicity of the ratio between generalized logarithmic means. Zbl 1160.26012
Chen, Chao-Ping
10
2008
Inequalities and asymptotic expansions for the gamma function. Zbl 1305.33003
Chen, Chao-Ping; Liu, Jing-Yun
10
2015
Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants. Zbl 1312.11093
Cheng, Jun-Xiang; Chen, Chao-Ping
10
2014
Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions. Zbl 1346.26005
Sun, Jun-Ling; Chen, Chao-Ping
10
2016
Wilker and Huygens type inequalities for the lemniscate functions. II. Zbl 1259.33031
Chen, Chao-Ping
10
2013
Inequalities for the gamma function. Zbl 1143.33003
Li, Xin; Chen, Chao-Ping
10
2007
Inequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function. Zbl 1410.33004
Chen, Chao-Ping
10
2015
Sharp inequalities and asymptotic expansion associated with the Wallis sequence. Zbl 1373.41023
Deng, Ji-En; Ban, Tao; Chen, Chao-Ping
9
2015
Sharpness and generalization of Jordan’s inequality and its application. Zbl 1247.26030
Chen, Chao-Ping; Debnath, Lokenath
9
2012
Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. I. Zbl 1441.11034
Chen, Chao-Ping; Paris, Richard B.
9
2017
Some inequalities and monotonicity properties associated with the gamma and psi functions. Zbl 1250.33003
Chen, Chao-Ping; Batir, Necdet
9
2012
On Shafer and Carlson inequalities. Zbl 1230.26008
Chen, Chao-Ping; Cheung, Wing-Sum; Wang, Wusheng
9
2011
On the coefficients of asymptotic expansion for the harmonic number by Ramanujan. Zbl 1339.41037
Chen, Chao-Ping
9
2016
Inequalities related to certain inverse trigonometric and inverse hyperbolic functions. Zbl 1436.26013
Chen, Chao-Ping; Malešević, Branko
9
2020
Notes on double inequalities of Mathieu’s series. Zbl 1086.26015
Qi, Feng; Chen, Chao-Ping; Guo, Bai-Ni
8
2005
Asymptotic formulas for the gamma function by Gosper. Zbl 1314.33002
Lin, Long; Chen, Chao-Ping
8
2015
Inequalities for the volume of the unit ball in \(\mathbb R^n\). Zbl 1292.26040
Chen, Chao-Ping; Lin, Long
8
2014
Padé approximant related to inequalities for Gauss lemniscate functions. Zbl 1351.26033
Liu, Juan; Chen, Chao-Ping
8
2016
New asymptotic expansions related to Somos’ quadratic recurrence constant. Zbl 1290.11049
Chen, Chao-Ping
8
2013
Approximation formulas for Landau’s constants. Zbl 1254.30045
Chen, Chao-Ping
8
2012
Monotonicity properties of functions related to the psi function. Zbl 1213.33003
Chen, Chao-Ping
8
2010
Monotonicity of sequences involving convex and concave functions. Zbl 1032.26021
Chen, Chao-Ping; Qi, Feng; Cerone, Pietro; Dragomir, Sever S.
7
2003
Asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1316.26027
Chen, Chao-Ping; Choi, Junesang
7
2014
Note on weighted Carleman-type inequality. Zbl 1072.26012
Chen, Chao-Ping; Cheung, Wing-Sum; Qi, Feng
7
2005
Completely monotonic functions related to Gurland’s ratio for the gamma function. Zbl 1375.33004
Chen, Chao-Ping; Choi, Junesang
7
2017
Unified treatment of several asymptotic expansions concerning some mathematical constants. Zbl 1411.41024
Chen, Chao-Ping; Choi, Junesang
7
2017
Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function. Zbl 1306.33004
Chen, Chao-Ping; Liu, Jing-Yun
7
2015
On Somos’ quadratic recurrence constant. Zbl 1343.11013
Chen, Chao-Ping; Han, Xue-Feng
7
2016
Inequalities relating to the gamma function. Zbl 1062.33001
Chen, Chao-Ping; Qi, Feng
6
2004
Monotonicity properties for generalized logarithmic means. Zbl 1063.26025
Chen, Chao-Ping; Qi, Feng
6
2004
Stirling expansions into negative powers of a triangular number. Zbl 1381.11016
Chen, Chao-Ping
6
2016
Monotonicity result for generalized logarithmic means. Zbl 1132.26326
Li, Xin; Chen, Ch.-P.; Qi, F.
6
2007
An asymptotic formula for \((1 + 1/{x})^{x}\) based on the partition function. Zbl 1303.05010
Chen, Chao-Ping; Choi, Junesang
6
2014
Some properties of functions related to the gamma, psi and tetragamma functions. Zbl 1236.33002
Chen, Chao-Ping
6
2011
Inequalities and asymptotic expansions associated with the Wallis sequence. Zbl 1373.41025
Lin, Long; Deng, Ji-En; Chen, Chao-Ping
6
2014
Sharp bounds for the Landau constants. Zbl 1276.41023
Chen, Chao-Ping
6
2013
A class of two-sided inequalities involving the psi and polygamma functions. Zbl 1200.33003
Chen, Chao-Ping; Srivastava, H. M.
6
2010
Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions. Zbl 1454.26019
Zhang, Bo; Chen, Chao-Ping
6
2020
Generalization of Hardy’s inequality. Zbl 1058.26012
Chen, Chao-Ping; Qi, Feng
5
2004
Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant. Zbl 1336.33002
Chen, Chao-Ping
5
2016
A double inequality for remainder of power series of tangent function. Zbl 1047.26012
Chen, Chao-Ping; Qi, Feng
5
2003
Inequalities and asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1338.41020
Chen, Chao-Ping; Choi, Junesang
5
2014
New representations for the Lugo and Euler-Mascheroni constants. Zbl 1216.33005
Chen, Chao-Ping; Srivastava, H. M.
5
2011
Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function. Zbl 1390.26031
Chen, Chao-Ping
5
2015
Best upper and lower bounds in Wallis’ inequality. Zbl 1088.33001
Chen, Chaoping; Qi, Feng
4
2005
Logarithmically complete monotonicity properties for the gamma functions. Zbl 1090.33002
Chen, Chao-Ping; Qi, Feng
4
2005
A sharp version of Ramanujan’s inequality for the factorial function. Zbl 1398.33004
Chen, Chao-Ping
4
2016
Extension of an inequality of H. Alzer for negative powers. Zbl 1068.26012
Chen, Chao-Ping; Qi, Feng
4
2005
Asymptotic expansions of the logarithm of the gamma function in the terms of the polygamma functions. Zbl 1294.33002
Chen, Chao-Ping
4
2014
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
4
2013
Continued fraction estimates for the psi function. Zbl 1298.33001
Chen, Chao-Ping
4
2013
Inequalities for the polygramma functions with application. Zbl 1115.26015
Chen, Chao-Ping
4
2005
Padé approximant related to asymptotics for the gamma function. Zbl 1359.33001
Li, Xin; Chen, Chao-Ping
4
2017
On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas. Zbl 1411.33001
Chen, Chao-Ping; Paris, Richard B.
4
2017
Ioachimescu’s constant. Zbl 1245.11128
Chen, Chaoping; Li, Li; Xu, Yanqin
4
2010
Approximations to inverse tangent function. Zbl 1498.26028
Qiao, Quan-Xi; Chen, Chao-Ping
4
2018
Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant. Zbl 1498.11079
Ma, Xue-Si; Chen, Chao-Ping
4
2018
On the Wilker and Huygens-type inequalities. Zbl 1462.26014
Chen, Chao-Ping; Paris, Richard B.
4
2020
Ramanujan’s formula for the harmonic number. Zbl 1426.41038
Chen, Chao-Ping
4
2018
Sharp Redheffer-type and Becker-Stark-type inequalities with an application. Zbl 1403.26012
Chen, Chao-Ping; Elezović, Neven
4
2018
On the Ramanujan harmonic number expansion. Zbl 1440.11025
Chen, Chao-Ping
4
2019
Asymptotic expansions and continued fraction approximations for harmonic number. Zbl 1513.40010
Chen, Chao-Ping; Wang, Qin
4
2019
Monotonicity results for the Gamma function. Zbl 1059.33004
Chen, Chaoping; Qi, Feng
3
2003
Asymptotic results of the remainders in the series representations for the Apéry constant. Zbl 1480.11165
Chen, Chao-Ping
2
2022
Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II. Zbl 1506.11035
Chen, Chao-Ping; Paris, Richard B.
2
2022
Approximation formulas and inequalities for the Euler-Mascheroni constant. Zbl 1468.11253
Chen, Chao-Ping
3
2021
A method to construct continued-fraction approximations and its applications. Zbl 1468.11254
Chen, Chao-Ping; Srivastava, H. M.; Wang, Qin
2
2021
Some new properties of the Barnes \(G\)-function and related results. Zbl 1499.33007
Chen, Chao-Ping; Srivastava, H. M.
2
2021
Inequalities related to certain inverse trigonometric and inverse hyperbolic functions. Zbl 1436.26013
Chen, Chao-Ping; Malešević, Branko
9
2020
Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions. Zbl 1454.26019
Zhang, Bo; Chen, Chao-Ping
6
2020
On the Wilker and Huygens-type inequalities. Zbl 1462.26014
Chen, Chao-Ping; Paris, Richard B.
4
2020
An inequality involving the constant \(e\) and a generalized Carleman-type inequality. Zbl 1454.26031
Chen, Chao-Ping; Paris, Richard B.
2
2020
A double inequality for \(\tanh x\). Zbl 1503.26030
Zhang, Bo; Chen, Chao-Ping
2
2020
On the Ramanujan harmonic number expansion. Zbl 1440.11025
Chen, Chao-Ping
4
2019
Asymptotic expansions and continued fraction approximations for harmonic number. Zbl 1513.40010
Chen, Chao-Ping; Wang, Qin
4
2019
Inequalities and asymptotic expansions related to the volume of the unit ball in \(\mathbb{R}^n\). Zbl 1407.33003
Chen, Chao-Ping; Paris, Richard B.
2
2019
Inequalities and complete monotonicity for the gamma and related functions. Zbl 1429.33004
Chen, Chao-Ping; Choi, Junesang
1
2019
Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application. Zbl 1435.26011
Zhang, Bo; Chen, Chao-Ping
1
2019
Approximations to inverse tangent function. Zbl 1498.26028
Qiao, Quan-Xi; Chen, Chao-Ping
4
2018
Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant. Zbl 1498.11079
Ma, Xue-Si; Chen, Chao-Ping
4
2018
Ramanujan’s formula for the harmonic number. Zbl 1426.41038
Chen, Chao-Ping
4
2018
Sharp Redheffer-type and Becker-Stark-type inequalities with an application. Zbl 1403.26012
Chen, Chao-Ping; Elezović, Neven
4
2018
Asymptotic expansions for certain mathematical constants and special functions. Zbl 1488.41079
Chen, Chao-Ping
3
2018
Approximation formulas for the constant \(e\) and an improvement to a Carleman-type inequality. Zbl 1392.26027
Chen, Chao-Ping; Paris, Richard B.
2
2018
Sharp inequalities involving \((n!)^{1/n}\). Zbl 1400.26034
Chen, Chao-Ping
1
2018
Padé approximant related to Ramanujan’s formula for the gamma function. Zbl 1400.41010
Chen, Chao-Ping
1
2018
Complete asymptotic expansions for the density function of \(t\)-distribution. Zbl 1395.62027
Chen, Chao-Ping
1
2018
Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. I. Zbl 1441.11034
Chen, Chao-Ping; Paris, Richard B.
9
2017
Completely monotonic functions related to Gurland’s ratio for the gamma function. Zbl 1375.33004
Chen, Chao-Ping; Choi, Junesang
7
2017
Unified treatment of several asymptotic expansions concerning some mathematical constants. Zbl 1411.41024
Chen, Chao-Ping; Choi, Junesang
7
2017
Padé approximant related to asymptotics for the gamma function. Zbl 1359.33001
Li, Xin; Chen, Chao-Ping
4
2017
On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas. Zbl 1411.33001
Chen, Chao-Ping; Paris, Richard B.
4
2017
Series representations of the remainders in the expansions for certain functions with applications. Zbl 1421.11021
Chen, Chao-Ping; Paris, Richard B.
3
2017
New inequalities for the volume of the unit ball in \(\mathbb{R}^n\). Zbl 1368.33001
Ban, Tao; Chen, Chao-Ping
3
2017
Sharp inequalities and asymptotic series related to Somos’ quadratic recurrence constant. Zbl 1360.41016
Chen, Chao-Ping
2
2017
Padé approximant related to the Wallis formula. Zbl 1365.33004
Lin, Long; Ma, Wen-Cheng; Chen, Chao-Ping
1
2017
Padé approximant related to inequalities involving the constant \(e\) and a generalized Carleman-type inequality. Zbl 1370.26038
Chen, Chao-Ping; Zhang, Hui-Jie
1
2017
Proofs of certain conjectures of Vukšić concerning the inequalities for means. Zbl 1379.26030
Chen, Chao-Ping; Elezović, Neven
1
2017
The median of gamma distribution and a related Ramanujan sequence. Zbl 1379.41011
Chen, Chao-Ping
1
2017
A more accurate approximation for the gamma function. Zbl 1334.33005
Chen, Chao-Ping
12
2016
Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions. Zbl 1346.26005
Sun, Jun-Ling; Chen, Chao-Ping
10
2016
On the coefficients of asymptotic expansion for the harmonic number by Ramanujan. Zbl 1339.41037
Chen, Chao-Ping
9
2016
Padé approximant related to inequalities for Gauss lemniscate functions. Zbl 1351.26033
Liu, Juan; Chen, Chao-Ping
8
2016
On Somos’ quadratic recurrence constant. Zbl 1343.11013
Chen, Chao-Ping; Han, Xue-Feng
7
2016
Stirling expansions into negative powers of a triangular number. Zbl 1381.11016
Chen, Chao-Ping
6
2016
Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant. Zbl 1336.33002
Chen, Chao-Ping
5
2016
A sharp version of Ramanujan’s inequality for the factorial function. Zbl 1398.33004
Chen, Chao-Ping
4
2016
Sharp inequalities and asymptotic expansions for the gamma function. Zbl 1336.33003
Chen, Chao-Ping; Tong, Wei-Wei
3
2016
Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function. Zbl 1410.33006
Chen, Chao-Ping
3
2016
Inequalities and asymptotic expansions for the gamma function related to Mortici’s formula. Zbl 1331.33001
Chen, Chao-Ping; Lin, Long
2
2016
Sharp inequalities and asymptotic series of a product related to the Euler-Mascheroni constant. Zbl 1401.11161
Chen, Chao-Ping
2
2016
Inequalities and asymptotics for the Euler-Mascheroni constant based on DeTemple’s result. Zbl 1360.41015
Chen, Chao-Ping
2
2016
On the asymptotics of products related to generalizations of the Wilf and Mortini problems. Zbl 1350.33001
Chen, Chao-Ping; Paris, Richard B.
1
2016
On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas. Zbl 1410.33005
Chen, Chao-Ping
1
2016
Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. Zbl 1328.33001
Chen, Chao-Ping; Paris, Richard B.
34
2015
Ramanujan’s asymptotic expansion for the harmonic numbers. Zbl 1381.11116
Chen, Chao-Ping; Cheng, Jun-Xiang
11
2015
Sharp inequalities for trigonometric and hyperbolic functions. Zbl 1315.26011
Chen, Chao-Ping; Sándor, József
11
2015
Inequalities and asymptotic expansions for the gamma function. Zbl 1305.33003
Chen, Chao-Ping; Liu, Jing-Yun
10
2015
Inequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function. Zbl 1410.33004
Chen, Chao-Ping
10
2015
Sharp inequalities and asymptotic expansion associated with the Wallis sequence. Zbl 1373.41023
Deng, Ji-En; Ban, Tao; Chen, Chao-Ping
9
2015
Asymptotic formulas for the gamma function by Gosper. Zbl 1314.33002
Lin, Long; Chen, Chao-Ping
8
2015
Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function. Zbl 1306.33004
Chen, Chao-Ping; Liu, Jing-Yun
7
2015
Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function. Zbl 1390.26031
Chen, Chao-Ping
5
2015
Curvature concentrations on the HIV-1 capsid. Zbl 1347.92026
Liu, Jiangguo; Sadre-Marandi, Farrah; Tavener, Simon; Chen, Chaoping
3
2015
Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions. Zbl 1410.33007
Chen, Chao-Ping; Elezović, Neven
3
2015
Asymptotic expansions of integral mean of polygamma functions. Zbl 1306.33003
Chen, Chao-Ping; Elezović, Neven; Vukšić, Lenka
1
2015
Asymptotic expansions of the gamma function related to Windschitl’s formula. Zbl 1335.41007
Chen, Chao-Ping
17
2014
Asymptotic expansions for Barnes \(G\)-function. Zbl 1373.33003
Chen, Chao-Ping
15
2014
Inequality chains for Wilker, Huygens and Lazarević type inequalities. Zbl 1294.26016
Chen, Chao-Ping; Sándor, József
14
2014
Sharp Shafer-Fink type inequalities for Gauss lemniscate functions. Zbl 1332.26029
Deng, Ji-En; Chen, Chao-Ping
11
2014
Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants. Zbl 1312.11093
Cheng, Jun-Xiang; Chen, Chao-Ping
10
2014
Inequalities for the volume of the unit ball in \(\mathbb R^n\). Zbl 1292.26040
Chen, Chao-Ping; Lin, Long
8
2014
Asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1316.26027
Chen, Chao-Ping; Choi, Junesang
7
2014
An asymptotic formula for \((1 + 1/{x})^{x}\) based on the partition function. Zbl 1303.05010
Chen, Chao-Ping; Choi, Junesang
6
2014
Inequalities and asymptotic expansions associated with the Wallis sequence. Zbl 1373.41025
Lin, Long; Deng, Ji-En; Chen, Chao-Ping
6
2014
Inequalities and asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1338.41020
Chen, Chao-Ping; Choi, Junesang
5
2014
Asymptotic expansions of the logarithm of the gamma function in the terms of the polygamma functions. Zbl 1294.33002
Chen, Chao-Ping
4
2014
New bounds and asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1334.33006
Chen, Chao-Ping
3
2014
Generalizations of two infinite product formulas. Zbl 1303.33001
Chen, Chao-Ping; Paris, Richard B.
2
2014
Generating vectors for the lattice structures of tubular and conical viral capsids. Zbl 1347.92027
Sadre-Marandi, Farrah; Liu, Jiangguo; Tavener, Simon; Chen, Chaoping
2
2014
Inequalities involving gamma and digamma functions. Zbl 1374.33002
Alzer, Horst; Chen, Chao-Ping
2
2014
Approximation formulas for the Landau constants. Zbl 1324.11070
Chen, Chaoping; Cheng, Junxiang
1
2014
Asymptotic formulae associated with the Wallis power function and digamma function. Zbl 1412.33001
Chen, Chao-Ping; Elezović, Neven; Vukšić, Lenka
35
2013
Unified treatment of several asymptotic formulas for the gamma function. Zbl 1280.33003
Chen, Chao-Ping
22
2013
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
15
2013
Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials. Zbl 1319.11094
Chen, Chao-Ping; Lin, Long
12
2013
Wilker and Huygens type inequalities for the lemniscate functions. II. Zbl 1259.33031
Chen, Chao-Ping
10
2013
New asymptotic expansions related to Somos’ quadratic recurrence constant. Zbl 1290.11049
Chen, Chao-Ping
8
2013
Sharp bounds for the Landau constants. Zbl 1276.41023
Chen, Chao-Ping
6
2013
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
4
2013
Continued fraction estimates for the psi function. Zbl 1298.33001
Chen, Chao-Ping
4
2013
Two infinite product formulas with two parameters. Zbl 1275.33003
Chen, Chao-Ping; Choi, Junesang
3
2013
Certain relationships among polygamma functions, Riemann zeta function and generalized zeta function. Zbl 1288.11081
Choi, Junesang; Chen, Chao-Ping
2
2013
Inequality chains related to trigonometric and hyperbolic functions and inverse trigonometric and hyperbolic functions. Zbl 1298.26044
Chen, Chao-Ping; Sándor, József
1
2013
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
28
2012
Remarks on asymptotic expansions for the gamma function. Zbl 1254.33002
Chen, Chao-Ping; Lin, Long
23
2012
Sharpness of Wilker and Huygens type inequalities. Zbl 1279.26030
Chen, Chao-Ping; Cheung, Wing-Sum
19
2012
Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem. Zbl 1254.26022
Chen, Chao-Ping; Cheung, Wing-Sum
17
2012
Glaisher-Kinkelin constant. Zbl 1300.11135
Chen, Chao-Ping
15
2012
Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions. Zbl 1264.26018
Chen, Chao-Ping
15
2012
Wilker and Huygens type inequalities for the lemniscate functions. Zbl 1268.26025
Chen, Chao-Ping
13
2012
Sharpness and generalization of Jordan’s inequality and its application. Zbl 1247.26030
Chen, Chao-Ping; Debnath, Lokenath
9
2012
Some inequalities and monotonicity properties associated with the gamma and psi functions. Zbl 1250.33003
Chen, Chao-Ping; Batir, Necdet
9
2012
...and 70 more Documents
all top 5

Cited by 393 Authors

88 Chen, Chaoping
85 Qi, Feng
41 Yang, Zhenhang
39 Guo, Bai-Ni
32 Chu, Yuming
23 Srivastava, Hari Mohan
19 Mortici, Cristinel
19 Tian, Jingfeng
14 Malešević, Branko J.
14 Zhu, Ling
13 Choi, Junesang
12 Guo, Senlin
12 You, Xu
10 Chen, Xiaodiao
10 Elezović, Neven
10 Lampret, Vito
10 Paris, Richard Bruce
10 Yin, Li
10 Zhao, Tiehong
9 Bagul, Yogesh Jibhau
9 Wang, Miaokun
8 Qian, Weimao
8 Xu, Aimin
7 Lin, Long
7 Lu, Dawei
7 Shi, Xiaoting
7 Zheng, Shenzhou
6 Han, Xuefeng
6 Luo, Qiuming
6 Nishizawa, Yusuke
5 Burić, Tomislav
5 Chen, Dirong
5 Chesneau, Christophe
5 Lim, Dongkyu
5 Wang, Weiping
4 Banjac, Bojan D.
4 Batir, Necdet
4 Bercu, Gabriel
4 Cerone, Pietro
4 Cringanu, Jenica C.
4 Cristea, Valentin Gabriel
4 Das, Sourav
4 Dhaigude, Ramkrishna M.
4 Huang, Liguo
4 Kostić, Marko
4 Li, Wenhui
4 Lin, Xiuli
4 Liu, Fangfang
4 Long, Boyong
4 Lutovac, Tatjana
4 Ma, Xuesi
4 Mahmoud, Mansour
4 Niu, Dawei
4 Pogány, Tibor K.
4 Sadre-Marandi, Farrah
4 Song, Lixin
4 Wang, Yigang
4 Zhang, Xiaohui
3 Cao, Xiaodong
3 Chen, Shouxin
3 Jiang, Yueping
3 Liu, Jiangguo
3 Ma, Wen-Xiu
3 Ouimet, Frédéric
3 Qiu, Songliang
3 Swaminathan, Anbhu
3 Tavener, Simon J.
3 Zaharescu, Alexandru
3 Zhang, Bo
3 Zhang, Jumei
3 Zhang, Lina
3 Zhang, Wen
2 Adell, José Antonio
2 Agarwal, Ravi P.
2 Berg, Christian
2 Cao, Jian
2 Cen, Zhongdi
2 Chen, Ligeng
2 Cheng, Junxiang
2 Chu, Hong-Hu
2 Deng, Ji’en
2 Dimitrov, Evgeni I.
2 Dixit, Atul
2 Dragomir, Sever Silvestru
2 Guan, Kaizhong
2 He, Mingxing
2 Huang, TiRen
2 Ismail, Mourad El-Houssieny
2 Jang, Lee-Chae
2 Jiang, Weidong
2 Koumandos, Stamatis
2 Lekuona, Alberto
2 Liu, Aiqi
2 Liu, Zhiming
2 Ma, Junyi
2 Matejíčka, Ladislav
2 Mehrez, Khaled
2 Qian, Cheng
2 Rašajski, Marija
2 Roy, Arindam
...and 293 more Authors
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Cited in 129 Serials

71 Journal of Inequalities and Applications
44 Applied Mathematics and Computation
30 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
29 Journal of Mathematical Analysis and Applications
26 Journal of Mathematical Inequalities
20 Results in Mathematics
19 Journal of Number Theory
17 Journal of Computational and Applied Mathematics
17 Applicable Analysis and Discrete Mathematics
16 Integral Transforms and Special Functions
9 Mathematical Inequalities & Applications
8 The Ramanujan Journal
7 Abstract and Applied Analysis
6 Proceedings of the American Mathematical Society
6 Applied Mathematics Letters
6 AIMS Mathematics
5 Computers & Mathematics with Applications
5 Mathematica Slovaca
5 Advances in Difference Equations
4 Indian Journal of Pure & Applied Mathematics
4 International Journal of Mathematics and Mathematical Sciences
4 Mathematical and Computer Modelling
4 Journal of Applied Mathematics
4 Mediterranean Journal of Mathematics
4 Acta Universitatis Sapientiae. Mathematica
3 Bulletin of the Australian Mathematical Society
3 Periodica Mathematica Hungarica
3 Computational and Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Hacettepe Journal of Mathematics and Statistics
3 Cubo
3 São Paulo Journal of Mathematical Sciences
3 Problemy Analiza. Issues of Analysis
3 Journal of Mathematics
3 Open Mathematics
2 Metrika
2 Archiv der Mathematik
2 Journal of Approximation Theory
2 Quaestiones Mathematicae
2 Statistics & Probability Letters
2 Bulletin of the Iranian Mathematical Society
2 Journal of Symbolic Computation
2 Communications in Statistics. Theory and Methods
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Applied Mathematics. Series B (English Edition)
2 Georgian Mathematical Journal
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Bernoulli
2 Mathematical Problems in Engineering
2 Analysis (München)
2 Communications of the Korean Mathematical Society
2 Applied Mathematics E-Notes
2 Analysis and Applications (Singapore)
2 Banach Journal of Mathematical Analysis
2 Journal of Classical Analysis
2 Mathematics
2 Molecular Based Mathematical Biology
2 Cogent Mathematics
2 Computational and Mathematical Biophysics
1 The American Statistician
1 Analysis Mathematica
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Statistical Physics
1 The Mathematical Gazette
1 Mathematical Notes
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Acta Scientiarum Mathematicarum
1 Advances in Mathematics
1 Automatica
1 Demonstratio Mathematica
1 Information Sciences
1 Journal of Functional Analysis
1 Journal of Mathematical Economics
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Pacific Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Probability Theory and Related Fields
1 Constructive Approximation
1 Journal of Theoretical Probability
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Expositiones Mathematicae
1 Russian Mathematics
1 Applied and Computational Harmonic Analysis
1 Filomat
1 Journal of Mathematical Chemistry
1 Journal of Applied Analysis
1 Doklady Mathematics
1 Positivity
1 Novi Sad Journal of Mathematics
1 Journal of Mathematical Study
1 Integers
1 The ANZIAM Journal
...and 29 more Serials
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Cited in 37 Fields

310 Real functions (26-XX)
310 Special functions (33-XX)
132 Approximations and expansions (41-XX)
121 Number theory (11-XX)
42 Sequences, series, summability (40-XX)
27 Numerical analysis (65-XX)
23 Functions of a complex variable (30-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
23 Integral transforms, operational calculus (44-XX)
22 Combinatorics (05-XX)
19 Probability theory and stochastic processes (60-XX)
16 Statistics (62-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Partial differential equations (35-XX)
4 Ordinary differential equations (34-XX)
4 Computer science (68-XX)
4 Biology and other natural sciences (92-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 Field theory and polynomials (12-XX)
2 Measure and integration (28-XX)
2 Operator theory (47-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

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