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## Chen, Chaoping

Compute Distance To:
 Author ID: chen.chaoping Published as: Chen, C. P.; Chen, Ch.-P.; Chen, Chao Ping; Chen, Chao-Ping; Chen, Chaoping External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 183 Publications since 2001
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#### Co-Authors

 49 single-authored 35 Qi, Feng 11 Lin, Long 11 Paris, Richard Bruce 10 Mortici, Cristinel 8 Choi, Junesang 6 Elezović, Neven 6 Li, Aijun 6 Srivastava, Hari Mohan 4 Deng, Ji’en 4 Guo, Bai-Ni 4 Sándor, József 4 Zhang, Suling 3 Cheng, Junxiang 3 Cheung, Wing-Sum 3 Cheung, Wingsum 3 Li, Xin 3 Liu, Jiangguo 3 Sadre-Marandi, Farrah 3 Tavener, Simon J. 2 Ban, Tao 2 Batir, Necdet 2 Dragomir, Sever Silvestru 2 Li, Li 2 Liu, Jing-Yun 2 Qiao, Quanxi 2 Qin, Keyun 2 Vukšić, Lenka 2 Zhao, Weizhen 1 Alzer, Horst 1 Bencze, Mihaly 1 Cerone, Pietro 1 Chen, Shouxin 1 Cui, Runqing 1 Debnath, Lokenath 1 Han, Xuefeng 1 Li, Xiaoru 1 Li, Xin 1 Liu, Aiqi 1 Liu, Juan 1 Liu, ShaoWei 1 Ma, Wen-Cheng 1 Manyama, Seiichi 1 Sun, Junling 1 Tong, Weiwei 1 Wang, Wusheng 1 Wang, Xuemin 1 Wei, Yue-Jin 1 Xu, Yanqin 1 Yuan, Jun 1 Zhang, Huijie
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#### Serials

 16 Applied Mathematics and Computation 14 Journal of Inequalities and Applications 13 Mathematical Inequalities & Applications 11 Journal of Number Theory 10 Tamkang Journal of Mathematics 10 Integral Transforms and Special Functions 10 Journal of Mathematical Inequalities 7 Journal of Mathematical Analysis and Applications 6 Applied Mathematics Letters 6 The Ramanujan Journal 6 Advanced Studies in Contemporary Mathematics (Kyungshang) 5 The Australian Journal of Mathematical Analysis and Applications 4 Results in Mathematics 4 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 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 International Journal of Mathematics and Mathematical Sciences 2 Numerical Algorithms 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 Rocky Mountain Journal of Mathematics 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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Computational and Applied Mathematics 1 Journal of Computational Analysis and Applications 1 Communications of the Korean Mathematical Society 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 Universităţii de Vest din Timişoara. Seria Matematică-Informatică 1 Bulletin of Mathematical Analysis and Applications 1 Bulletin of the Transilvania University of Braşov. Series III. Mathematics, Informatics, Physics 1 Computational and Mathematical Biophysics
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#### Fields

 114 Real functions (26-XX) 95 Special functions (33-XX) 46 Approximations and expansions (41-XX) 39 Number theory (11-XX) 23 Sequences, series, summability (40-XX) 4 Functions of a complex variable (30-XX) 3 Combinatorics (05-XX) 3 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

135 Publications have been cited 882 times in 363 Documents Cited by Year
A complete monotonicity property of the gamma function. Zbl 1046.33001
Qi, Feng; Chen, Chao-Ping
2004
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1094.33002
Qi, Feng; Guo, Baini; Chen, Chaoping
2006
Logarithmically completely monotonic functions relating to the gamma function. Zbl 1099.33002
Chen, Chao-Ping; Qi, Feng
2006
Some completely monotonic functions involving polygamma functions and an application. Zbl 1074.33005
Qi, Feng; Cui, Run-Qing; Chen, Chao-Ping; Guo, Bai-Ni
2005
The best bounds in Wallis’ inequality. Zbl 1049.05006
Chen, Chao-Ping; Qi, Feng
2005
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
2010
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
2012
Remarks on asymptotic expansions for the gamma function. Zbl 1254.33002
Chen, Chao-Ping; Lin, Long
2012
Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. Zbl 1328.33001
Chen, Chao-Ping; Paris, Richard B.
2015
Unified treatment of several asymptotic formulas for the gamma function. Zbl 1280.33003
Chen, Chao-Ping
2013
Inequalities for the Euler-Mascheroni constant. Zbl 1203.26025
Chen, Chao-Ping
2010
Asymptotic formulae associated with the Wallis power function and digamma function. Zbl 1412.33001
Chen, Chao-Ping; Elezović, Neven; Vukšić, Lenka
2013
The best bounds in Gautschi-Kershaw inequalities. Zbl 1101.33001
Qi, Feng; Guo, Bai-Ni; Chen, Chao-Ping
2006
Asymptotic expansions of the gamma function related to Windschitl’s formula. Zbl 1335.41007
Chen, Chao-Ping
2014
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.
2011
Completely monotonic function associated with the gamma functions and proof of Wallis’ inequality. Zbl 1092.33002
Chen, Chaoping; Qi, Feng
2005
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
2013
Sharp Cusa and Becker-Stark inequalities. Zbl 1275.26025
Chen, Chao-Ping; Cheung, Wing-Sum
2011
Inequalities and monotonicity properties for some special functions. Zbl 1177.33005
Chen, Chao-Ping
2009
Sharpness of Wilker and Huygens type inequalities. Zbl 1279.26030
Chen, Chao-Ping; Cheung, Wing-Sum
2012
Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions. Zbl 1121.33001
Chen, Chao-Ping
2007
Inequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function. Zbl 1410.33004
Chen, Chao-Ping
2015
Inequalities and asymptotic expansions for the gamma function. Zbl 1305.33003
Chen, Chao-Ping; Liu, Jing-Yun
2015
Glaisher-Kinkelin constant. Zbl 1300.11135
Chen, Chao-Ping
2012
The monotonicity of the ratio between generalized logarithmic means. Zbl 1160.26012
Chen, Chao-Ping
2008
Monotonicity of ratio between the generalized logarithmic means. Zbl 1127.26021
Qi, Feng; Chen, Shouxin; Chen, Chaoping
2007
A more accurate approximation for the gamma function. Zbl 1334.33005
Chen, Chao-Ping
2016
Some inequalities and monotonicity properties associated with the gamma and psi functions. Zbl 1250.33003
Chen, Chao-Ping; Batir, Necdet
2012
Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem. Zbl 1254.26022
Chen, Chao-Ping; Cheung, Wing-Sum
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
2011
Ramanujan’s asymptotic expansion for the harmonic numbers. Zbl 1381.11116
Chen, Chao-Ping; Cheng, Jun-Xiang
2015
Asymptotic formulas for the gamma function by Gosper. Zbl 1314.33002
Lin, Long; Chen, Chao-Ping
2015
Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions. Zbl 1264.26018
Chen, Chao-Ping
2012
Approximation formulas for Landau’s constants. Zbl 1254.30045
Chen, Chao-Ping
2012
Monotonicity properties of functions related to the psi function. Zbl 1213.33003
Chen, Chao-Ping
2010
Monotonicity and convexity for the gamma function. Zbl 1081.33004
Chen, Chao-Ping
2005
Asymptotic expansions for Barnes $$G$$-function. Zbl 1373.33003
Chen, Chao-Ping
2014
Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials. Zbl 1319.11094
Chen, Chao-Ping; Lin, Long
2013
Inequalities associated with Barnes $$G$$-function. Zbl 1216.33004
Chen, Chao-Ping
2011
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1132.33301
Li, Ai-Jun; Chen, Chao-Ping
2008
Notes on double inequalities of Mathieu’s series. Zbl 1086.26015
Qi, Feng; Chen, Chao-Ping; Guo, Bai-Ni
2005
On the coefficients of asymptotic expansion for the harmonic number by Ramanujan. Zbl 1339.41037
Chen, Chao-Ping
2016
Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function. Zbl 1306.33004
Chen, Chao-Ping; Liu, Jing-Yun
2015
Sharp bounds for the Landau constants. Zbl 1276.41023
Chen, Chao-Ping
2013
Sharpness and generalization of Jordan’s inequality and its application. Zbl 1247.26030
Chen, Chao-Ping; Debnath, Lokenath
2012
On Shafer and Carlson inequalities. Zbl 1230.26008
Chen, Chao-Ping; Cheung, Wing-Sum; Wang, Wusheng
2011
A class of two-sided inequalities involving the psi and polygamma functions. Zbl 1200.33003
Chen, Chao-Ping; Srivastava, H. M.
2010
Monotonicity result for generalized logarithmic means. Zbl 1132.26326
Li, Xin; Chen, Ch.-P.; Qi, F.
2007
Monotonicity properties for generalized logarithmic means. Zbl 1063.26025
Chen, Chao-Ping; Qi, Feng
2004
Monotonicity of sequences involving convex and concave functions. Zbl 1032.26021
Chen, Chao-Ping; Qi, Feng; Cerone, Pietro; Dragomir, Sever S.
2003
Stirling expansions into negative powers of a triangular number. Zbl 1381.11016
Chen, Chao-Ping
2016
Sharp inequalities for trigonometric and hyperbolic functions. Zbl 1315.26011
Chen, Chao-Ping; Sándor, József
2015
Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants. Zbl 1312.11093
Cheng, Jun-Xiang; Chen, Chao-Ping
2014
Inequalities for the volume of the unit ball in $$\mathbb R^n$$. Zbl 1292.26040
Chen, Chao-Ping; Lin, Long
2014
Asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1316.26027
Chen, Chao-Ping; Choi, Junesang
2014
Note on weighted Carleman-type inequality. Zbl 1072.26012
Chen, Chao-Ping; Cheung, Wing-Sum; Qi, Feng
2005
Completely monotonic functions related to Gurland’s ratio for the gamma function. Zbl 1375.33004
Chen, Chao-Ping; Choi, Junesang
2017
Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions. Zbl 1346.26005
Sun, Jun-Ling; Chen, Chao-Ping
2016
A sharp version of Ramanujan’s inequality for the factorial function. Zbl 1398.33004
Chen, Chao-Ping
2016
Sharp inequalities and asymptotic expansion associated with the Wallis sequence. Zbl 1373.41023
Deng, Ji-En; Ban, Tao; Chen, Chao-Ping
2015
Sharp Shafer-Fink type inequalities for Gauss lemniscate functions. Zbl 1332.26029
Deng, Ji-En; Chen, Chao-Ping
2014
An asymptotic formula for $$(1 + 1/{x})^{x}$$ based on the partition function. Zbl 1303.05010
Chen, Chao-Ping; Choi, Junesang
2014
New asymptotic expansions related to Somos’ quadratic recurrence constant. Zbl 1290.11049
Chen, Chao-Ping
2013
Wilker and Huygens type inequalities for the lemniscate functions. II. Zbl 1259.33031
Chen, Chao-Ping
2013
Wilker and Huygens type inequalities for the lemniscate functions. Zbl 1268.26025
Chen, Chao-Ping
2012
Some properties of functions related to the gamma, psi and tetragamma functions. Zbl 1236.33002
Chen, Chao-Ping
2011
Logarithmically complete monotonicity properties for the gamma functions. Zbl 1090.33002
Chen, Chao-Ping; Qi, Feng
2005
Generalization of Hardy’s inequality. Zbl 1058.26012
Chen, Chao-Ping; Qi, Feng
2004
Inequalities relating to the gamma function. Zbl 1062.33001
Chen, Chao-Ping; Qi, Feng
2004
Monotonicity results for the Gamma function. Zbl 1059.33004
Chen, Chaoping; Qi, Feng
2003
A double inequality for remainder of power series of tangent function. Zbl 1047.26012
Chen, Chao-Ping; Qi, Feng
2003
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.
2017
On Somos’ quadratic recurrence constant. Zbl 1343.11013
Chen, Chao-Ping; Han, Xue-Feng
2016
Sharp inequalities and asymptotic expansions for the gamma function. Zbl 1336.33003
Chen, Chao-Ping; Tong, Wei-Wei
2016
Curvature concentrations on the HIV-1 capsid. Zbl 1347.92026
Liu, Jiangguo; Sadre-Marandi, Farrah; Tavener, Simon; Chen, Chaoping
2015
Inequalities and asymptotic expansions associated with the Wallis sequence. Zbl 1373.41025
Lin, Long; Deng, Ji-En; Chen, Chao-Ping
2014
New bounds and asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1334.33006
Chen, Chao-Ping
2014
Asymptotic expansions of the logarithm of the gamma function in the terms of the polygamma functions. Zbl 1294.33002
Chen, Chao-Ping
2014
Inequality chains for Wilker, Huygens and Lazarević type inequalities. Zbl 1294.26016
Chen, Chao-Ping; Sándor, József
2014
Continued fraction estimates for the psi function. Zbl 1298.33001
Chen, Chao-Ping
2013
Two infinite product formulas with two parameters. Zbl 1275.33003
Chen, Chao-Ping; Choi, Junesang
2013
Improving some sequences convergent to Euler-Mascheroni constant. Zbl 1276.11203
Batir, Necdet; Chen, Chao-Ping
2012
Ioachimescu’s constant. Zbl 1245.11128
Chen, Chaoping; Li, Li; Xu, Yanqin
2010
Logarithmically complete monotonicity and Schur-convexity for some ration of gamma functions. Zbl 1150.33301
Li, Ai-Jun; Zhao, Wei-Zhen; Chen, Chao-Ping
2006
Best upper and lower bounds in Wallis’ inequality. Zbl 1088.33001
Chen, Chaoping; Qi, Feng
2005
Extension of an inequality of H. Alzer for negative powers. Zbl 1068.26012
Chen, Chao-Ping; Qi, Feng
2005
Sharp Redheffer-type and Becker-Stark-type inequalities with an application. Zbl 1403.26012
Chen, Chao-Ping; Elezović, Neven
2018
Padé approximant related to asymptotics for the gamma function. Zbl 1359.33001
Li, Xin; Chen, Chao-Ping
2017
Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function. Zbl 1410.33006
Chen, Chao-Ping
2016
Padé approximant related to inequalities for Gauss lemniscate functions. Zbl 1351.26033
Liu, Juan; Chen, Chao-Ping
2016
Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant. Zbl 1336.33002
Chen, Chao-Ping
2016
Inequalities and asymptotic expansions for the gamma function related to Mortici’s formula. Zbl 1331.33001
Chen, Chao-Ping; Lin, Long
2016
Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function. Zbl 1390.26031
Chen, Chao-Ping
2015
Generating vectors for the lattice structures of tubular and conical viral capsids. Zbl 1347.92027
Sadre-Marandi, Farrah; Liu, Jiangguo; Tavener, Simon; Chen, Chaoping
2014
Inequalities and asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1338.41020
Chen, Chao-Ping; Choi, Junesang
2014
Inequalities involving gamma and digamma functions. Zbl 1374.33002
Alzer, Horst; Chen, Chao-Ping
2014
Generalizations of two infinite product formulas. Zbl 1303.33001
Chen, Chao-Ping; Paris, Richard B.
2014
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
2013
Certain relationships among polygamma functions, Riemann zeta function and generalized zeta function. Zbl 1288.11081
Choi, Junesang; Chen, Chao-Ping
2013
Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004
Chen, Chao-Ping; Mortici, Cristinel
2012
Sharp Redheffer-type and Becker-Stark-type inequalities with an application. Zbl 1403.26012
Chen, Chao-Ping; Elezović, Neven
2018
Ramanujan’s formula for the harmonic number. Zbl 1426.41038
Chen, Chao-Ping
2018
Completely monotonic functions related to Gurland’s ratio for the gamma function. Zbl 1375.33004
Chen, Chao-Ping; Choi, Junesang
2017
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.
2017
Padé approximant related to asymptotics for the gamma function. Zbl 1359.33001
Li, Xin; Chen, Chao-Ping
2017
On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas. Zbl 1411.33001
Chen, Chao-Ping; Paris, Richard B.
2017
New inequalities for the volume of the unit ball in $$\mathbb{R}^n$$. Zbl 1368.33001
Ban, Tao; Chen, Chao-Ping
2017
A more accurate approximation for the gamma function. Zbl 1334.33005
Chen, Chao-Ping
2016
On the coefficients of asymptotic expansion for the harmonic number by Ramanujan. Zbl 1339.41037
Chen, Chao-Ping
2016
Stirling expansions into negative powers of a triangular number. Zbl 1381.11016
Chen, Chao-Ping
2016
Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions. Zbl 1346.26005
Sun, Jun-Ling; Chen, Chao-Ping
2016
A sharp version of Ramanujan’s inequality for the factorial function. Zbl 1398.33004
Chen, Chao-Ping
2016
On Somos’ quadratic recurrence constant. Zbl 1343.11013
Chen, Chao-Ping; Han, Xue-Feng
2016
Sharp inequalities and asymptotic expansions for the gamma function. Zbl 1336.33003
Chen, Chao-Ping; Tong, Wei-Wei
2016
Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function. Zbl 1410.33006
Chen, Chao-Ping
2016
Padé approximant related to inequalities for Gauss lemniscate functions. Zbl 1351.26033
Liu, Juan; Chen, Chao-Ping
2016
Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant. Zbl 1336.33002
Chen, Chao-Ping
2016
Inequalities and asymptotic expansions for the gamma function related to Mortici’s formula. Zbl 1331.33001
Chen, Chao-Ping; Lin, Long
2016
On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas. Zbl 1410.33005
Chen, Chao-Ping
2016
On the asymptotics of products related to generalizations of the Wilf and Mortini problems. Zbl 1350.33001
Chen, Chao-Ping; Paris, Richard B.
2016
Sharp inequalities and asymptotic series of a product related to the Euler-Mascheroni constant. Zbl 1401.11161
Chen, Chao-Ping
2016
Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. Zbl 1328.33001
Chen, Chao-Ping; Paris, Richard B.
2015
Inequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function. Zbl 1410.33004
Chen, Chao-Ping
2015
Inequalities and asymptotic expansions for the gamma function. Zbl 1305.33003
Chen, Chao-Ping; Liu, Jing-Yun
2015
Ramanujan’s asymptotic expansion for the harmonic numbers. Zbl 1381.11116
Chen, Chao-Ping; Cheng, Jun-Xiang
2015
Asymptotic formulas for the gamma function by Gosper. Zbl 1314.33002
Lin, Long; Chen, Chao-Ping
2015
Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function. Zbl 1306.33004
Chen, Chao-Ping; Liu, Jing-Yun
2015
Sharp inequalities for trigonometric and hyperbolic functions. Zbl 1315.26011
Chen, Chao-Ping; Sándor, József
2015
Sharp inequalities and asymptotic expansion associated with the Wallis sequence. Zbl 1373.41023
Deng, Ji-En; Ban, Tao; Chen, Chao-Ping
2015
Curvature concentrations on the HIV-1 capsid. Zbl 1347.92026
Liu, Jiangguo; Sadre-Marandi, Farrah; Tavener, Simon; Chen, Chaoping
2015
Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function. Zbl 1390.26031
Chen, Chao-Ping
2015
Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions. Zbl 1410.33007
Chen, Chao-Ping; Elezović, Neven
2015
Asymptotic expansions of the gamma function related to Windschitl’s formula. Zbl 1335.41007
Chen, Chao-Ping
2014
Asymptotic expansions for Barnes $$G$$-function. Zbl 1373.33003
Chen, Chao-Ping
2014
Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants. Zbl 1312.11093
Cheng, Jun-Xiang; Chen, Chao-Ping
2014
Inequalities for the volume of the unit ball in $$\mathbb R^n$$. Zbl 1292.26040
Chen, Chao-Ping; Lin, Long
2014
Asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1316.26027
Chen, Chao-Ping; Choi, Junesang
2014
Sharp Shafer-Fink type inequalities for Gauss lemniscate functions. Zbl 1332.26029
Deng, Ji-En; Chen, Chao-Ping
2014
An asymptotic formula for $$(1 + 1/{x})^{x}$$ based on the partition function. Zbl 1303.05010
Chen, Chao-Ping; Choi, Junesang
2014
Inequalities and asymptotic expansions associated with the Wallis sequence. Zbl 1373.41025
Lin, Long; Deng, Ji-En; Chen, Chao-Ping
2014
New bounds and asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1334.33006
Chen, Chao-Ping
2014
Asymptotic expansions of the logarithm of the gamma function in the terms of the polygamma functions. Zbl 1294.33002
Chen, Chao-Ping
2014
Inequality chains for Wilker, Huygens and Lazarević type inequalities. Zbl 1294.26016
Chen, Chao-Ping; Sándor, József
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
2014
Inequalities and asymptotic expansions for the constants of Landau and Lebesgue. Zbl 1338.41020
Chen, Chao-Ping; Choi, Junesang
2014
Inequalities involving gamma and digamma functions. Zbl 1374.33002
Alzer, Horst; Chen, Chao-Ping
2014
Generalizations of two infinite product formulas. Zbl 1303.33001
Chen, Chao-Ping; Paris, Richard B.
2014
Approximation formulas for the Landau constants. Zbl 1324.11070
Chen, Chaoping; Cheng, Junxiang
2014
Unified treatment of several asymptotic formulas for the gamma function. Zbl 1280.33003
Chen, Chao-Ping
2013
Asymptotic formulae associated with the Wallis power function and digamma function. Zbl 1412.33001
Chen, Chao-Ping; Elezović, Neven; Vukšić, Lenka
2013
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
2013
Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials. Zbl 1319.11094
Chen, Chao-Ping; Lin, Long
2013
Sharp bounds for the Landau constants. Zbl 1276.41023
Chen, Chao-Ping
2013
New asymptotic expansions related to Somos’ quadratic recurrence constant. Zbl 1290.11049
Chen, Chao-Ping
2013
Wilker and Huygens type inequalities for the lemniscate functions. II. Zbl 1259.33031
Chen, Chao-Ping
2013
Continued fraction estimates for the psi function. Zbl 1298.33001
Chen, Chao-Ping
2013
Two infinite product formulas with two parameters. Zbl 1275.33003
Chen, Chao-Ping; Choi, Junesang
2013
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
2013
Certain relationships among polygamma functions, Riemann zeta function and generalized zeta function. Zbl 1288.11081
Choi, Junesang; Chen, Chao-Ping
2013
Inequality chains related to trigonometric and hyperbolic functions and inverse trigonometric and hyperbolic functions. Zbl 1298.26044
Chen, Chao-Ping; Sándor, József
2013
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
2012
Remarks on asymptotic expansions for the gamma function. Zbl 1254.33002
Chen, Chao-Ping; Lin, Long
2012
Sharpness of Wilker and Huygens type inequalities. Zbl 1279.26030
Chen, Chao-Ping; Cheung, Wing-Sum
2012
Glaisher-Kinkelin constant. Zbl 1300.11135
Chen, Chao-Ping
2012
Some inequalities and monotonicity properties associated with the gamma and psi functions. Zbl 1250.33003
Chen, Chao-Ping; Batir, Necdet
2012
Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem. Zbl 1254.26022
Chen, Chao-Ping; Cheung, Wing-Sum
2012
Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions. Zbl 1264.26018
Chen, Chao-Ping
2012
Approximation formulas for Landau’s constants. Zbl 1254.30045
Chen, Chao-Ping
2012
Sharpness and generalization of Jordan’s inequality and its application. Zbl 1247.26030
Chen, Chao-Ping; Debnath, Lokenath
2012
Wilker and Huygens type inequalities for the lemniscate functions. Zbl 1268.26025
Chen, Chao-Ping
2012
Improving some sequences convergent to Euler-Mascheroni constant. Zbl 1276.11203
Batir, Necdet; Chen, Chao-Ping
2012
Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004
Chen, Chao-Ping; Mortici, Cristinel
2012
Sharp inequalities for the harmonic numbers. Zbl 1274.11063
Chen, Chao-Ping
2012
New representations for the Euler-Mascheroni constant and inequalities for the generalized-Euler-constant function. Zbl 1276.11204
Chen, Chao-Ping; Cheung, Wing-Sum
2012
New representations for the Lugo and Euler-Mascheroni constants. II. Zbl 1243.33002
Chen, Chao-Ping; Srivastava, H. M.
2012
Inequalities for the Lugo and Euler-Mascheroni constants. Zbl 1244.26036
Chen, Chao-Ping
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.
2011
Sharp Cusa and Becker-Stark inequalities. Zbl 1275.26025
Chen, Chao-Ping; Cheung, Wing-Sum
2011
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
2011
Inequalities associated with Barnes $$G$$-function. Zbl 1216.33004
Chen, Chao-Ping
2011
On Shafer and Carlson inequalities. Zbl 1230.26008
Chen, Chao-Ping; Cheung, Wing-Sum; Wang, Wusheng
2011
Some properties of functions related to the gamma, psi and tetragamma functions. Zbl 1236.33002
Chen, Chao-Ping
2011
Sharpness of Negoi’s inequality for the Euler-Mascheroni constant. Zbl 1314.11076
Chen, Chao-Ping
2011
Sharp form of inequality for the constant $$e$$. Zbl 1249.11114
Chen, Chao-Ping; Mortici, Cristinel
2011
New representations for the Lugo and Euler-Mascheroni constants. Zbl 1216.33005
Chen, Chao-Ping; Srivastava, H. M.
2011
New sharp double inequalities for bounding the gamma and digamma function. Zbl 1274.30149
Mortici, Cristinel; Chen, Chao-Ping
2011
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
2010
Inequalities for the Euler-Mascheroni constant. Zbl 1203.26025
Chen, Chao-Ping
2010
Monotonicity properties of functions related to the psi function. Zbl 1213.33003
Chen, Chao-Ping
2010
A class of two-sided inequalities involving the psi and polygamma functions. Zbl 1200.33003
Chen, Chao-Ping; Srivastava, H. M.
2010
Ioachimescu’s constant. Zbl 1245.11128
Chen, Chaoping; Li, Li; Xu, Yanqin
2010
Inequalities and monotonicity properties for some special functions. Zbl 1177.33005
Chen, Chao-Ping
2009
The monotonicity of the ratio between generalized logarithmic means. Zbl 1160.26012
Chen, Chao-Ping
2008
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1132.33301
Li, Ai-Jun; Chen, Chao-Ping
2008
An inequality for the generalized-Euler-constant function. Zbl 1172.26317
Chen, Chao-Ping; Lin, Long
2008
Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions. Zbl 1121.33001
Chen, Chao-Ping
2007
Monotonicity of ratio between the generalized logarithmic means. Zbl 1127.26021
Qi, Feng; Chen, Shouxin; Chen, Chaoping
2007
Monotonicity result for generalized logarithmic means. Zbl 1132.26326
Li, Xin; Chen, Ch.-P.; Qi, F.
2007
Inequalities for the gamma function. Zbl 1143.33003
Li, Xin; Chen, Chao-Ping
2007
Logarithmically completely monotonic functions and Gurland’s ratio for the gamma function. Zbl 1132.33304
Wei, Yue-Jin; Zhang, Su-Ling; Chen, Chao-Ping
2007
...and 35 more Documents
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#### Cited by 267 Authors

 77 Chen, Chaoping 70 Qi, Feng 33 Guo, Bai-Ni 32 Yang, Zhenhang 22 Chu, Yuming 18 Srivastava, Hari Mohan 17 Mortici, Cristinel 12 Choi, Junesang 12 Guo, Senlin 11 Tian, Jingfeng 10 You, Xu 9 Elezović, Neven 9 Paris, Richard Bruce 8 Malešević, Branko J. 7 Lin, Long 7 Zheng, Shenzhou 6 Lu, Dawei 6 Luo, Qiuming 6 Xu, Aimin 6 Zhu, Ling 5 Shi, Xiao-Ting 5 Wang, Weiping 4 Batir, Necdet 4 Chen, Dirong 4 Lampret, Vito 4 Lutovac, Tatjana 4 Nishizawa, Yusuke 4 Qian, Weimao 4 Sadre-Marandi, Farrah 4 Song, Lixin 4 Zhang, Xiaohui 4 Zhao, Tiehong 3 Banjac, Bojan 3 Burić, Tomislav 3 Cao, Xiaodong 3 Cerone, Pietro 3 Chen, Shouxin 3 Chen, Xiao-Diao 3 Cringanu, Jenica C. 3 Cristea, Valentin Gabriel 3 Das, Sourav 3 Li, Wenhui 3 Liu, Jiangguo 3 Long, Boyong 3 Pogány, Tibor K. 3 Qiu, Songliang 3 Tavener, Simon J. 3 Wang, Miaokun 2 Adell, José Antonio 2 Bercu, Gabriel 2 Berg, Christian 2 Cao, Jian 2 Cheng, Junxiang 2 Chu, Hong-Hu 2 Deng, Ji’en 2 Dixit, Atul 2 Dragomir, Sever Silvestru 2 Guan, Kaizhong 2 Ismail, Mourad El-Houssieny 2 Jang, Lee-Chae 2 Jiang, Yueping 2 Koumandos, Stamatis 2 Lekuona, Alberto 2 Lin, Xiuli 2 Liu, Aiqi 2 Liu, Fangfang 2 Liu, Zhiming 2 Ma, Wen-Xiu 2 Ma, Xuesi 2 Mahmoud, Mansour 2 Mehrez, Khaled 2 Niu, Dawei 2 Rašajski, Marija 2 Roy, Arindam 2 Song, Yingqing 2 Villarino, Mark B. 2 Vukšić, Lenka 2 Wang, Yigang 2 Xu, Hongmin 2 Yin, Li 2 Zaharescu, Alexandru 2 Zhang, Bo 2 Zhang, Lina 2 Zhang, Wen 2 Zhao, Jiaolian 1 Agarwal, Ravi P. 1 Åhag, Per 1 Alemi, Mohammad Reza 1 Alkan, Emre 1 Ambartsumyan, V. E. 1 Anderson, Glen Douglas 1 András, Szilárd 1 Bagdasaryan, Armen G. 1 Bai, Xiaodong 1 Ban, Tao 1 Baricz, Árpád 1 Benali, Habib 1 Beylkin, Gregory 1 Bil, Robert 1 Blagouchine, Iaroslav V. ...and 167 more Authors
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#### Cited in 95 Serials

 47 Journal of Inequalities and Applications 44 Applied Mathematics and Computation 25 Journal of Mathematical Analysis and Applications 18 Journal of Number Theory 17 Results in Mathematics 16 Journal of Computational and Applied Mathematics 15 Integral Transforms and Special Functions 10 Journal of Mathematical Inequalities 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 The Ramanujan Journal 7 Abstract and Applied Analysis 6 Applied Mathematics Letters 5 Computers & Mathematics with Applications 5 Proceedings of the American Mathematical Society 5 Mathematical Inequalities & Applications 4 International Journal of Mathematics and Mathematical Sciences 4 Mathematical and Computer Modelling 4 Journal of Applied Mathematics 4 Advances in Difference Equations 3 Bulletin of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Computational and Applied Mathematics 3 Acta Universitatis Sapientiae. Mathematica 2 Periodica Mathematica Hungarica 2 Archiv der Mathematik 2 Journal of Approximation Theory 2 Quaestiones Mathematicae 2 Statistics & Probability Letters 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Mediterranean Journal of Mathematics 2 Banach Journal of Mathematical Analysis 2 Problemy Analiza. Issues of Analysis 2 Mathematics 2 Molecular Based Mathematical Biology 2 Cogent Mathematics 2 Computational and Mathematical Biophysics 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 Mathematics of Computation 1 Advances in Mathematics 1 Information Sciences 1 Journal of Mathematical Economics 1 Mathematica Slovaca 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Doklady Mathematics 1 Positivity 1 Integers 1 The ANZIAM Journal 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 Central European Journal of Mathematics 1 Cubo 1 International Journal of Number Theory 1 Proyecciones 1 Complex Analysis and Operator Theory 1 Optimization Letters 1 Tbilisi Mathematical Journal 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 ISRN Mathematical Analysis 1 ISRN Applied Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Classical Analysis 1 Journal of Mathematics 1 Journal of Applied Mathematics, Statistics and Informatics 1 Journal of Statistical Distributions and Applications 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Constructive Mathematical Analysis 1 Cogent Mathematics & Statistics
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#### Cited in 33 Fields

 213 Special functions (33-XX) 212 Real functions (26-XX) 88 Approximations and expansions (41-XX) 83 Number theory (11-XX) 30 Sequences, series, summability (40-XX) 19 Integral transforms, operational calculus (44-XX) 19 Numerical analysis (65-XX) 17 Functions of a complex variable (30-XX) 13 Combinatorics (05-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 4 Partial differential equations (35-XX) 4 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-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 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)