Han, Xue-Feng; Chen, Chao-Ping; Srivastava, Hari M. Analytical and asymptotic representations for two sequences related to Gauss’ lemniscate functions. (English) Zbl 07817611 Appl. Anal. Discrete Math. 17, No. 2, 525-537 (2023). MSC: 41A60 11M35 40A05 PDFBibTeX XMLCite \textit{X.-F. Han} et al., Appl. Anal. Discrete Math. 17, No. 2, 525--537 (2023; Zbl 07817611) Full Text: DOI
Han, Xue-Feng; Chen, Chao-Ping Sharp inequalities related to the volume of the unit ball in \(\mathbb{R}^n\). (English) Zbl 07778062 J. Inequal. Appl. 2023, Paper No. 65, 14 p. (2023). MSC: 33B15 30A10 26D07 41A60 26D15 PDFBibTeX XMLCite \textit{X.-F. Han} and \textit{C.-P. Chen}, J. Inequal. Appl. 2023, Paper No. 65, 14 p. (2023; Zbl 07778062) Full Text: DOI
Han, Xue-Feng; Chen, Chao-Ping Approximations to the Euler-Mascheroni constant. (English) Zbl 07769104 Bull. Iran. Math. Soc. 49, No. 5, Paper No. 76, 13 p. (2023). MSC: 41A60 11Y60 40A05 PDFBibTeX XMLCite \textit{X.-F. Han} and \textit{C.-P. Chen}, Bull. Iran. Math. Soc. 49, No. 5, Paper No. 76, 13 p. (2023; Zbl 07769104) Full Text: DOI
Han, Xue-Feng; Chen, Chao-Ping; Srivastava, Hari M. Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants. (English) Zbl 1524.41081 Appl. Anal. Discrete Math. 17, No. 1, 159-178 (2023). MSC: 41A60 11M06 40A05 PDFBibTeX XMLCite \textit{X.-F. Han} et al., Appl. Anal. Discrete Math. 17, No. 1, 159--178 (2023; Zbl 1524.41081) Full Text: DOI
Wang, Wei; Chen, Chao-Ping A double inequality for the Apéry constant. (English) Zbl 07690155 J. Math. Inequal. 17, No. 1, 11-29 (2023). MSC: 11Y60 40A05 PDFBibTeX XMLCite \textit{W. Wang} and \textit{C.-P. Chen}, J. Math. Inequal. 17, No. 1, 11--29 (2023; Zbl 07690155) Full Text: DOI
Han, Xue-Feng; Chen, Chao-Ping Asymptotic results of the remainder in a Ramanujan series for \(1/\pi \). (English) Zbl 1504.11134 Expo. Math. 40, No. 4, 931-946 (2022). MSC: 11Y60 40A05 PDFBibTeX XMLCite \textit{X.-F. Han} and \textit{C.-P. Chen}, Expo. Math. 40, No. 4, 931--946 (2022; Zbl 1504.11134) Full Text: DOI
Chen, Chao-Ping; Mortici, Cristinel Asymptotic expansions and inequalities relating to the gamma function. (English) Zbl 1513.33004 Appl. Anal. Discrete Math. 16, No. 2, 379-399 (2022). MSC: 33B15 26D15 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{C. Mortici}, Appl. Anal. Discrete Math. 16, No. 2, 379--399 (2022; Zbl 1513.33004) Full Text: DOI
Chen, Chao-Ping; Malešević, Branko J. A method to prove inequalities and its applications. (English) Zbl 1514.26007 J. Math. Inequal. 16, No. 3, 923-945 (2022). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D05 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{B. J. Malešević}, J. Math. Inequal. 16, No. 3, 923--945 (2022; Zbl 1514.26007) Full Text: DOI
Han, Xue-Feng; Chen, Chao-Ping Some properties of the remainders in certain series representations for the constant \(\pi\). (English) Zbl 1496.11141 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 123, 20 p. (2022). MSC: 11Y60 40A05 PDFBibTeX XMLCite \textit{X.-F. Han} and \textit{C.-P. Chen}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 123, 20 p. (2022; Zbl 1496.11141) Full Text: DOI
Chen, Chao-Ping; Paris, Richard B. Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II. (English) Zbl 1506.11035 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 62, 20 p. (2022). MSC: 11B68 26D05 33B10 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{R. B. Paris}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 62, 20 p. (2022; Zbl 1506.11035) Full Text: DOI
Chen, Chao-Ping Asymptotic results of the remainders in the series representations for the Apéry constant. (English) Zbl 1480.11165 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 28, 15 p. (2022). MSC: 11Y60 40A05 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 28, 15 p. (2022; Zbl 1480.11165) Full Text: DOI
Chen, Chao-Ping; Srivastava, H. M.; Wang, Qin A method to construct continued-fraction approximations and its applications. (English) Zbl 1468.11254 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 97, 26 p. (2021). MSC: 11Y60 11A55 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 97, 26 p. (2021; Zbl 1468.11254) Full Text: DOI
Chen, Chao-Ping Approximation formulas and inequalities for the Euler-Mascheroni constant. (English) Zbl 1468.11253 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 56, 19 p. (2021). MSC: 11Y60 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 56, 19 p. (2021; Zbl 1468.11253) Full Text: DOI
Chen, Chao-Ping; Paris, Richard B. On the Wilker and Huygens-type inequalities. (English) Zbl 1462.26014 J. Math. Inequal. 14, No. 3, 685-705 (2020). Reviewer: Cătălin Barbu (Bačau) MSC: 26D05 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{R. B. Paris}, J. Math. Inequal. 14, No. 3, 685--705 (2020; Zbl 1462.26014) Full Text: DOI arXiv
Chen, Chao-Ping; Paris, Richard B. An inequality involving the constant \(e\) and a generalized Carleman-type inequality. (English) Zbl 1454.26031 Math. Inequal. Appl. 23, No. 4, 1197-1203 (2020). MSC: 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{R. B. Paris}, Math. Inequal. Appl. 23, No. 4, 1197--1203 (2020; Zbl 1454.26031) Full Text: DOI
Ma, Xue-Si; Chen, Chao-Ping Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant. (English) Zbl 1498.11079 J. Inequal. Appl. 2018, Paper No. 147, 15 p. (2018). MSC: 11B83 11B37 11Y60 26D05 33B10 40A25 PDFBibTeX XMLCite \textit{X.-S. Ma} and \textit{C.-P. Chen}, J. Inequal. Appl. 2018, Paper No. 147, 15 p. (2018; Zbl 1498.11079) Full Text: DOI
Chen, Chao-Ping; Paris, Richard B. Approximation formulas for the constant \(e\) and an improvement to a Carleman-type inequality. (English) Zbl 1392.26027 J. Math. Anal. Appl. 466, No. 1, 711-725 (2018). MSC: 26D07 11Y60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{R. B. Paris}, J. Math. Anal. Appl. 466, No. 1, 711--725 (2018; Zbl 1392.26027) Full Text: DOI
Chen, Chao-Ping; Choi, Junesang Unified treatment of several asymptotic expansions concerning some mathematical constants. (English) Zbl 1411.41024 Appl. Math. Comput. 305, 348-363 (2017). MSC: 41A60 11B68 11B73 11Y60 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J. Choi}, Appl. Math. Comput. 305, 348--363 (2017; Zbl 1411.41024) Full Text: DOI
Chen, Chao-Ping; Paris, Richard B. On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas. (English) Zbl 1411.33001 Appl. Math. Comput. 293, 30-39 (2017). MSC: 33B15 40A25 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{R. B. Paris}, Appl. Math. Comput. 293, 30--39 (2017; Zbl 1411.33001) Full Text: DOI arXiv Link
Chen, Chao-Ping The median of gamma distribution and a related Ramanujan sequence. (English) Zbl 1379.41011 Ramanujan J. 44, No. 1, 75-88 (2017). MSC: 41A20 60E05 PDFBibTeX XMLCite \textit{C.-P. Chen}, Ramanujan J. 44, No. 1, 75--88 (2017; Zbl 1379.41011) Full Text: DOI
Chen, Chao-Ping; Paris, Richard B. Series representations of the remainders in the expansions for certain functions with applications. (English) Zbl 1421.11021 Result. Math. 71, No. 3-4, 1443-1457 (2017). MSC: 11B68 26A48 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{R. B. Paris}, Result. Math. 71, No. 3--4, 1443--1457 (2017; Zbl 1421.11021) Full Text: DOI Link
Chen, Chao-Ping; Zhang, Hui-Jie Padé approximant related to inequalities involving the constant \(e\) and a generalized Carleman-type inequality. (English) Zbl 1370.26038 J. Inequal. Appl. 2017, Paper No. 205, 12 p. (2017). MSC: 26D15 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{H.-J. Zhang}, J. Inequal. Appl. 2017, Paper No. 205, 12 p. (2017; Zbl 1370.26038) Full Text: DOI
Lin, Long; Ma, Wen-Cheng; Chen, Chao-Ping Padé approximant related to the Wallis formula. (English) Zbl 1365.33004 J. Inequal. Appl. 2017, Paper No. 132, 12 p. (2017). MSC: 33B15 26D07 41A60 PDFBibTeX XMLCite \textit{L. Lin} et al., J. Inequal. Appl. 2017, Paper No. 132, 12 p. (2017; Zbl 1365.33004) Full Text: DOI
Li, Xin; Chen, Chao-Ping Padé approximant related to asymptotics for the gamma function. (English) Zbl 1359.33001 J. Inequal. Appl. 2017, Paper No. 53, 13 p. (2017). MSC: 33B15 41A60 26D15 PDFBibTeX XMLCite \textit{X. Li} and \textit{C.-P. Chen}, J. Inequal. Appl. 2017, Paper No. 53, 13 p. (2017; Zbl 1359.33001) Full Text: DOI
Chen, Chao-Ping Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function. (English) Zbl 1410.33006 Appl. Math. Comput. 283, 385-396 (2016). MSC: 33B15 41A60 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Comput. 283, 385--396 (2016; Zbl 1410.33006) Full Text: DOI
Chen, Chao-Ping On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas. (English) Zbl 1410.33005 Appl. Math. Comput. 276, 417-431 (2016). MSC: 33B15 26D15 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Comput. 276, 417--431 (2016; Zbl 1410.33005) Full Text: DOI
Liu, Juan; Chen, Chao-Ping Padé approximant related to inequalities for Gauss lemniscate functions. (English) Zbl 1351.26033 J. Inequal. Appl. 2016, Paper No. 320, 16 p. (2016). MSC: 26D07 41A60 PDFBibTeX XMLCite \textit{J. Liu} and \textit{C.-P. Chen}, J. Inequal. Appl. 2016, Paper No. 320, 16 p. (2016; Zbl 1351.26033) Full Text: DOI
Chen, Chao-Ping Inequalities and asymptotics for the Euler-Mascheroni constant based on DeTemple’s result. (English) Zbl 1360.41015 Numer. Algorithms 73, No. 3, 761-774 (2016). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 11Y60 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Numer. Algorithms 73, No. 3, 761--774 (2016; Zbl 1360.41015) Full Text: DOI
Sun, Jun-Ling; Chen, Chao-Ping Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions. (English) Zbl 1346.26005 J. Inequal. Appl. 2016, Paper No. 212, 9 p. (2016). MSC: 26D07 PDFBibTeX XMLCite \textit{J.-L. Sun} and \textit{C.-P. Chen}, J. Inequal. Appl. 2016, Paper No. 212, 9 p. (2016; Zbl 1346.26005) Full Text: DOI
Chen, Chao-Ping; Han, Xue-Feng On Somos’ quadratic recurrence constant. (English) Zbl 1343.11013 J. Number Theory 166, 31-40 (2016). MSC: 11B37 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{X.-F. Han}, J. Number Theory 166, 31--40 (2016; Zbl 1343.11013) Full Text: DOI
Chen, Chao-Ping Sharp inequalities and asymptotic series of a product related to the Euler-Mascheroni constant. (English) Zbl 1401.11161 J. Number Theory 165, 314-323 (2016). MSC: 11Y60 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen}, J. Number Theory 165, 314--323 (2016; Zbl 1401.11161) Full Text: DOI
Chen, Chao-Ping A more accurate approximation for the gamma function. (English) Zbl 1334.33005 J. Number Theory 164, 417-428 (2016). MSC: 33B15 41A60 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen}, J. Number Theory 164, 417--428 (2016; Zbl 1334.33005) Full Text: DOI
Chen, Chao-Ping Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant. (English) Zbl 1336.33002 J. Number Theory 163, 596-607 (2016). Reviewer: Cristinel Mortici (Târgovişte) MSC: 33B15 11Y60 40A05 PDFBibTeX XMLCite \textit{C.-P. Chen}, J. Number Theory 163, 596--607 (2016; Zbl 1336.33002) Full Text: DOI
Chen, Chao-Ping; Lin, Long Inequalities and asymptotic expansions for the gamma function related to Mortici’s formula. (English) Zbl 1331.33001 J. Number Theory 162, 578-588 (2016). MSC: 33B15 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{L. Lin}, J. Number Theory 162, 578--588 (2016; Zbl 1331.33001) Full Text: DOI
Chen, Chao-Ping; Tong, Wei-Wei Sharp inequalities and asymptotic expansions for the gamma function. (English) Zbl 1336.33003 J. Number Theory 160, 418-431 (2016). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 41A60 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{W.-W. Tong}, J. Number Theory 160, 418--431 (2016; Zbl 1336.33003) Full Text: DOI
Chen, Chao-Ping Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function. (English) Zbl 1390.26031 Appl. Math. Comput. 259, 790-799 (2015). MSC: 26D07 26A48 33B15 41A60 26D20 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Comput. 259, 790--799 (2015; Zbl 1390.26031) Full Text: DOI
Deng, Ji-En; Ban, Tao; Chen, Chao-Ping Sharp inequalities and asymptotic expansion associated with the Wallis sequence. (English) Zbl 1373.41023 J. Inequal. Appl. 2015, Paper No. 186, 11 p. (2015). MSC: 41A60 26D15 33B15 PDFBibTeX XMLCite \textit{J.-E. Deng} et al., J. Inequal. Appl. 2015, Paper No. 186, 11 p. (2015; Zbl 1373.41023) Full Text: DOI
Chen, Chao-Ping; Paris, Richard B. Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. (English) Zbl 1328.33001 Appl. Math. Comput. 250, 514-529 (2015). MSC: 33B15 41A30 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{R. B. Paris}, Appl. Math. Comput. 250, 514--529 (2015; Zbl 1328.33001) Full Text: DOI Link
Chen, Chao-Ping; Cheng, Jun-Xiang Ramanujan’s asymptotic expansion for the harmonic numbers. (English) Zbl 1381.11116 Ramanujan J. 38, No. 1, 123-128 (2015). MSC: 11Y60 40A25 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J.-X. Cheng}, Ramanujan J. 38, No. 1, 123--128 (2015; Zbl 1381.11116) Full Text: DOI
Lin, Long; Liu, Shao-Wei; Chen, Chao-Ping Inequalities and asymptotic formulas for \((1+1/x)^{x+a}\). (English) Zbl 1312.41042 J. Inequal. Appl. 2015, Paper No. 114, 12 p. (2015). MSC: 41A60 26D20 PDFBibTeX XMLCite \textit{L. Lin} et al., J. Inequal. Appl. 2015, Paper No. 114, 12 p. (2015; Zbl 1312.41042) Full Text: DOI
Chen, Chao-Ping; Liu, Jing-Yun Inequalities and asymptotic expansions for the gamma function. (English) Zbl 1305.33003 J. Number Theory 149, 313-326 (2015). MSC: 33B15 41A60 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J.-Y. Liu}, J. Number Theory 149, 313--326 (2015; Zbl 1305.33003) Full Text: DOI
Lin, Long; Deng, Ji-En; Chen, Chao-Ping Inequalities and asymptotic expansions associated with the Wallis sequence. (English) Zbl 1373.41025 J. Inequal. Appl. 2014, Paper No. 251, 14 p. (2014). MSC: 41A60 26D15 33B15 PDFBibTeX XMLCite \textit{L. Lin} et al., J. Inequal. Appl. 2014, Paper No. 251, 14 p. (2014; Zbl 1373.41025) Full Text: DOI
Chen, Chao-Ping; Choi, Junesang Inequalities and asymptotic expansions for the constants of Landau and Lebesgue. (English) Zbl 1338.41020 Appl. Math. Comput. 248, 610-624 (2014). MSC: 41A60 11Y60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J. Choi}, Appl. Math. Comput. 248, 610--624 (2014; Zbl 1338.41020) Full Text: DOI
Chen, Chao-Ping New bounds and asymptotic expansions for the constants of Landau and Lebesgue. (English) Zbl 1334.33006 Appl. Math. Comput. 242, 790-799 (2014). MSC: 33B15 11Y60 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Comput. 242, 790--799 (2014; Zbl 1334.33006) Full Text: DOI
Deng, Ji-En; Chen, Chao-Ping Sharp Shafer-Fink type inequalities for Gauss lemniscate functions. (English) Zbl 1332.26029 J. Inequal. Appl. 2014, Paper No. 35, 14 p. (2014). MSC: 26D07 PDFBibTeX XMLCite \textit{J.-E. Deng} and \textit{C.-P. Chen}, J. Inequal. Appl. 2014, Paper No. 35, 14 p. (2014; Zbl 1332.26029) Full Text: DOI
Chen, Chao-Ping; Choi, Junesang Asymptotic expansions for the constants of Landau and Lebesgue. (English) Zbl 1316.26027 Adv. Math. 254, 622-641 (2014). Reviewer: Sergei V. Rogosin (Minsk) MSC: 26D15 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J. Choi}, Adv. Math. 254, 622--641 (2014; Zbl 1316.26027) Full Text: DOI
Chen, Chao-Ping Continued fraction estimates for the psi function. (English) Zbl 1298.33001 Appl. Math. Comput. 219, No. 19, 9865-9871 (2013). MSC: 33B15 11Y60 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Comput. 219, No. 19, 9865--9871 (2013; Zbl 1298.33001) Full Text: DOI
Chen, Chao-Ping; Mortici, Cristinel Limits and inequalities associated with the Euler-Mascheroni constant. (English) Zbl 1297.33002 Appl. Math. Comput. 219, No. 18, 9755-9761 (2013). MSC: 33B15 11Y60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{C. Mortici}, Appl. Math. Comput. 219, No. 18, 9755--9761 (2013; Zbl 1297.33002) Full Text: DOI
Chen, Chao-Ping; Lin, Long Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials. (English) Zbl 1319.11094 J. Number Theory 133, No. 8, 2699-2705 (2013). MSC: 11Y60 40A05 11B68 11B73 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{L. Lin}, J. Number Theory 133, No. 8, 2699--2705 (2013; Zbl 1319.11094) Full Text: DOI
Mortici, Cristinel; Chen, Chao-Ping On the harmonic number expansion by Ramanujan. (English) Zbl 1331.11119 J. Inequal. Appl. 2013, Paper No. 222, 10 p. (2013). MSC: 11Y60 40A05 33B15 PDFBibTeX XMLCite \textit{C. Mortici} and \textit{C.-P. Chen}, J. Inequal. Appl. 2013, Paper No. 222, 10 p. (2013; Zbl 1331.11119) Full Text: DOI
Choi, Junesang; Chen, Chao-Ping Certain relationships among polygamma functions, Riemann zeta function and generalized zeta function. (English) Zbl 1288.11081 J. Inequal. Appl. 2013, Paper No. 75, 11 p. (2013). Reviewer: Mehmet Cenkci (Antalya) MSC: 11M06 33B15 40A05 26D07 PDFBibTeX XMLCite \textit{J. Choi} and \textit{C.-P. Chen}, J. Inequal. Appl. 2013, Paper No. 75, 11 p. (2013; Zbl 1288.11081) Full Text: DOI
Chen, Chao-Ping Unified treatment of several asymptotic formulas for the gamma function. (English) Zbl 1280.33003 Numer. Algorithms 64, No. 2, 311-319 (2013). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Numer. Algorithms 64, No. 2, 311--319 (2013; Zbl 1280.33003) Full Text: DOI
Chen, Chao-Ping Sharp bounds for the Landau constants. (English) Zbl 1276.41023 Ramanujan J. 31, No. 3, 301-313 (2013). MSC: 41A60 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Ramanujan J. 31, No. 3, 301--313 (2013; Zbl 1276.41023) Full Text: DOI
Chen, Chao-Ping; Cheung, Wing-Sum Sharpness of Wilker and Huygens type inequalities. (English) Zbl 1279.26030 J. Inequal. Appl. 2012, Paper No. 72, 11 p. (2012). MSC: 26D05 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{W.-S. Cheung}, J. Inequal. Appl. 2012, Paper No. 72, 11 p. (2012; Zbl 1279.26030) Full Text: DOI
Chen, Chao-Ping Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions. (English) Zbl 1264.26018 Integral Transforms Spec. Funct. 23, No. 12, 865-873 (2012). Reviewer: Dumitru Acu (Sibiu) MSC: 26D05 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen}, Integral Transforms Spec. Funct. 23, No. 12, 865--873 (2012; Zbl 1264.26018) Full Text: DOI
Chen, Chao-Ping; Mortici, Cristinel New sequence converging towards the Euler-Mascheroni constant. (English) Zbl 1252.33002 Comput. Math. Appl. 64, No. 4, 391-398 (2012). MSC: 11Y60 33B15 40A25 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{C. Mortici}, Comput. Math. Appl. 64, No. 4, 391--398 (2012; Zbl 1252.33002) Full Text: DOI
Chen, Chao-Ping; Batir, Necdet Some inequalities and monotonicity properties associated with the gamma and psi functions. (English) Zbl 1250.33003 Appl. Math. Comput. 218, No. 17, 8217-8225 (2012). MSC: 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{N. Batir}, Appl. Math. Comput. 218, No. 17, 8217--8225 (2012; Zbl 1250.33003) Full Text: DOI
Chen, Chao-Ping; Cheung, Wing-Sum Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem. (English) Zbl 1254.26022 Integral Transforms Spec. Funct. 23, No. 5, 325-336 (2012). Reviewer: Constantin Niculescu (Craiova) MSC: 26D05 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{W.-S. Cheung}, Integral Transforms Spec. Funct. 23, No. 5, 325--336 (2012; Zbl 1254.26022) Full Text: DOI
Chen, Chao-Ping Inequalities for the Lugo and Euler-Mascheroni constants. (English) Zbl 1244.26036 Appl. Math. Lett. 25, No. 5, 787-792 (2012). MSC: 26D15 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Lett. 25, No. 5, 787--792 (2012; Zbl 1244.26036) Full Text: DOI
Chen, Chao-Ping Approximation formulas for Landau’s constants. (English) Zbl 1254.30045 J. Math. Anal. Appl. 387, No. 2, 916-919 (2012). MSC: 30E15 PDFBibTeX XMLCite \textit{C.-P. Chen}, J. Math. Anal. Appl. 387, No. 2, 916--919 (2012; Zbl 1254.30045) Full Text: DOI
Chen, Chao-Ping Some properties of functions related to the gamma, psi and tetragamma functions. (English) Zbl 1236.33002 Comput. Math. Appl. 62, No. 9, 3389-3395 (2011). MSC: 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Comput. Math. Appl. 62, No. 9, 3389--3395 (2011; Zbl 1236.33002) Full Text: DOI
Chen, Chao-Ping; Srivastava, H. M.; Li, Li; Manyama, Seiichi Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant. (English) Zbl 1230.33004 Integral Transforms Spec. Funct. 22, No. 9, 681-693 (2011). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 11Y60 26A48 40A05 PDFBibTeX XMLCite \textit{C.-P. Chen} et al., Integral Transforms Spec. Funct. 22, No. 9, 681--693 (2011; Zbl 1230.33004) Full Text: DOI
Chen, Chao-Ping; Srivastava, H. M. New representations for the Lugo and Euler-Mascheroni constants. (English) Zbl 1216.33005 Appl. Math. Lett. 24, No. 7, 1239-1244 (2011). MSC: 33B15 33C45 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{H. M. Srivastava}, Appl. Math. Lett. 24, No. 7, 1239--1244 (2011; Zbl 1216.33005) Full Text: DOI
Chen, Chao-Ping Monotonicity properties of functions related to the psi function. (English) Zbl 1213.33003 Appl. Math. Comput. 217, No. 7, 2905-2911 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Comput. 217, No. 7, 2905--2911 (2010; Zbl 1213.33003) Full Text: DOI
Chen, Chao-Ping Inequalities for the Euler-Mascheroni constant. (English) Zbl 1203.26025 Appl. Math. Lett. 23, No. 2, 161-164 (2010). MSC: 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Lett. 23, No. 2, 161--164 (2010; Zbl 1203.26025) Full Text: DOI
Chen, Chao-Ping The monotonicity of the ratio between generalized logarithmic means. (English) Zbl 1160.26012 J. Math. Anal. Appl. 345, No. 1, 86-89 (2008). Reviewer: Joaquím Martín (Barcelona) MSC: 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen}, J. Math. Anal. Appl. 345, No. 1, 86--89 (2008; Zbl 1160.26012) Full Text: DOI
Chen, Chao-Ping Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions. (English) Zbl 1121.33001 J. Math. Anal. Appl. 336, No. 2, 812-822 (2007). Reviewer: Matti Vuorinen (Turku) MSC: 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen}, J. Math. Anal. Appl. 336, No. 2, 812--822 (2007; Zbl 1121.33001) Full Text: DOI
Chen, Chao-Ping; Qi, Feng Monotonicity properties and inequalities of functions related to means. (English) Zbl 1131.26007 Rocky Mt. J. Math. 36, No. 3, 857-865 (2006). MSC: 26A48 26D15 26E60 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{F. Qi}, Rocky Mt. J. Math. 36, No. 3, 857--865 (2006; Zbl 1131.26007) Full Text: DOI Euclid
Chen, Chao-Ping; Qi, Feng Logarithmically completely monotonic functions relating to the gamma function. (English) Zbl 1099.33002 J. Math. Anal. Appl. 321, No. 1, 405-411 (2006). Reviewer: Thomas Ernst (Uppsala) MSC: 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{F. Qi}, J. Math. Anal. Appl. 321, No. 1, 405--411 (2006; Zbl 1099.33002) Full Text: DOI
Qi, Feng; Guo, Baini; Chen, Chaoping Some completely monotonic functions involving the gamma and polygamma functions. (English) Zbl 1094.33002 J. Aust. Math. Soc. 80, No. 1, 81-88 (2006). Reviewer: Adem Kilicman (Serdang) MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{F. Qi} et al., J. Aust. Math. Soc. 80, No. 1, 81--88 (2006; Zbl 1094.33002) Full Text: DOI