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
Chen, Chao-Ping Sharp inequalities involving \((n!)^{1/n}\). (English) Zbl 1400.26034 Mediterr. J. Math. 15, No. 4, Paper No. 177, 1-13 (2018). MSC: 26D07 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen}, Mediterr. J. Math. 15, No. 4, Paper No. 177, 1--13 (2018; Zbl 1400.26034) 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
Ban, Tao; Chen, Chao-Ping New inequalities for the volume of the unit ball in \(\mathbb{R}^n\). (English) Zbl 1368.33001 J. Math. Inequal. 11, No. 2, 527-542 (2017). MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{T. Ban} and \textit{C.-P. Chen}, J. Math. Inequal. 11, No. 2, 527--542 (2017; Zbl 1368.33001) 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
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
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 A sharp version of Ramanujan’s inequality for the factorial function. (English) Zbl 1398.33004 Ramanujan J. 39, No. 1, 149-154 (2016). MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen}, Ramanujan J. 39, No. 1, 149--154 (2016; Zbl 1398.33004) 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 asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function. (English) Zbl 1410.33004 Appl. Math. Comput. 261, 337-350 (2015). MSC: 33B15 42A16 26D07 41A10 41A60 PDFBibTeX XMLCite \textit{C.-P. Chen}, Appl. Math. Comput. 261, 337--350 (2015; Zbl 1410.33004) 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
Chen, Chao-Ping; Sándor, József Sharp inequalities for trigonometric and hyperbolic functions. (English) Zbl 1315.26011 J. Math. Inequal. 9, No. 1, 203-217 (2015). MSC: 26D05 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J. Sándor}, J. Math. Inequal. 9, No. 1, 203--217 (2015; Zbl 1315.26011) Full Text: DOI Link
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
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; Lin, Long Inequalities for the volume of the unit ball in \(\mathbb R^n\). (English) Zbl 1292.26040 Mediterr. J. Math. 11, No. 2, 299-314 (2014). MSC: 26D07 33B15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{L. Lin}, Mediterr. J. Math. 11, No. 2, 299--314 (2014; Zbl 1292.26040) Full Text: DOI
Chen, Chao-Ping; Sándor, József Inequality chains for Wilker, Huygens and Lazarević type inequalities. (English) Zbl 1294.26016 J. Math. Inequal. 8, No. 1, 55-67 (2014). MSC: 26D05 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J. Sándor}, J. Math. Inequal. 8, No. 1, 55--67 (2014; Zbl 1294.26016) Full Text: DOI Link
Chen, Chao-Ping; Sándor, József Inequality chains related to trigonometric and hyperbolic functions and inverse trigonometric and hyperbolic functions. (English) Zbl 1298.26044 J. Math. Inequal. 7, No. 4, 569-575 (2013). MSC: 26D05 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J. Sándor}, J. Math. Inequal. 7, No. 4, 569--575 (2013; Zbl 1298.26044) Full Text: DOI Link
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 Wilker and Huygens type inequalities for the lemniscate functions. II. (English) Zbl 1259.33031 Math. Inequal. Appl. 16, No. 2, 577-586 (2013). MSC: 33E05 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen}, Math. Inequal. Appl. 16, No. 2, 577--586 (2013; Zbl 1259.33031) Full Text: DOI Link
Chen, Chao-Ping Sharp inequalities for the harmonic numbers. (English) Zbl 1274.11063 Carpathian J. Math. 28, No. 2, 223-229 (2012). MSC: 11B83 26D07 11Y60 PDFBibTeX XMLCite \textit{C.-P. Chen}, Carpathian J. Math. 28, No. 2, 223--229 (2012; Zbl 1274.11063)
Chen, Chao-Ping Wilker and Huygens type inequalities for the lemniscate functions. (English) Zbl 1268.26025 J. Math. Inequal. 6, No. 4, 673-684 (2012). Reviewer: Juri M. Rappoport (Moskva) MSC: 26D07 33E05 PDFBibTeX XMLCite \textit{C.-P. Chen}, J. Math. Inequal. 6, No. 4, 673--684 (2012; Zbl 1268.26025) Full Text: DOI Link
Chen, Chao-Ping; Deng, Ji-En Solutions of several open problems. (English) Zbl 1259.26019 Adv. Stud. Contemp. Math., Kyungshang 22, No. 4, 587-595 (2012). MSC: 26D07 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{J.-E. Deng}, Adv. Stud. Contemp. Math., Kyungshang 22, No. 4, 587--595 (2012; Zbl 1259.26019)
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; Cheung, Wing-Sum New representations for the Euler-Mascheroni constant and inequalities for the generalized-Euler-constant function. (English) Zbl 1276.11204 J. Comput. Anal. Appl. 14, No. 7, 1227-1236 (2012). Reviewer: Cristinel Mortici (Târgovişte) MSC: 11Y60 40A05 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{W.-S. Cheung}, J. Comput. Anal. Appl. 14, No. 7, 1227--1236 (2012; Zbl 1276.11204)
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
Mortici, Cristinel; Chen, Chao-Ping New sharp double inequalities for bounding the gamma and digamma function. (English) Zbl 1274.30149 An. Univ. Vest Timiș., Ser. Mat.-Inform. 49, No. 2, 69-75 (2011). MSC: 30E15 26D07 33B15 PDFBibTeX XMLCite \textit{C. Mortici} and \textit{C.-P. Chen}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 49, No. 2, 69--75 (2011; Zbl 1274.30149)
Mortici, Cristinel; Chen, Chao-Ping Estimates for \(e^x-(1+\frac{x}{t})^t\) and applications. (English) Zbl 1247.26035 J. Sci. Arts 11, No. 1, 13-14 (2011). MSC: 26D15 26D07 97H30 PDFBibTeX XMLCite \textit{C. Mortici} and \textit{C.-P. Chen}, J. Sci. Arts 11, No. 1, 13--14 (2011; Zbl 1247.26035)
Chen, Chao-Ping; Srivastava, H. M. Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes \(G\)-function. (English) Zbl 1213.33004 Integral Transforms Spec. Funct. 22, No. 1-3, 1-15 (2011). Reviewer: Mehdi Hassani (Zanjan) MSC: 33B15 26A48 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{H. M. Srivastava}, Integral Transforms Spec. Funct. 22, No. 1--3, 1--15 (2011; Zbl 1213.33004) Full Text: DOI
Chen, Chao-Ping; Srivastava, H. M. A class of two-sided inequalities involving the psi and polygamma functions. (English) Zbl 1200.33003 Integral Transforms Spec. Funct. 21, No. 7-8, 523-528 (2010). Reviewer: Cristinel Mortici (Targoviste) MSC: 33B15 26D07 11M06 11M35 26A48 26A51 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{H. M. Srivastava}, Integral Transforms Spec. Funct. 21, No. 7--8, 523--528 (2010; Zbl 1200.33003) Full Text: DOI
Chen, Chao-Ping A class of double inequalities for Stolarsky means. (English) Zbl 1183.26008 Proc. Jangjeon Math. Soc. 12, No. 1, 17-20 (2009). MSC: 26A48 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen}, Proc. Jangjeon Math. Soc. 12, No. 1, 17--20 (2009; Zbl 1183.26008)
Li, Ai-Jun; Chen, Chao-Ping Some completely monotonic functions involving the gamma and polygamma functions. (English) Zbl 1132.33301 J. Korean Math. Soc. 45, No. 1, 273-287 (2008). MSC: 33B15 26A48 26A51 26D07 PDFBibTeX XMLCite \textit{A.-J. Li} and \textit{C.-P. Chen}, J. Korean Math. Soc. 45, No. 1, 273--287 (2008; Zbl 1132.33301) Full Text: DOI
Li, Xin; Chen, Chao-Ping Inequalities for the gamma function. (English) Zbl 1143.33003 JIPAM, J. Inequal. Pure Appl. Math. 8, No. 1, Paper No. 28, 3 p. (2007). Reviewer: Ravi N. Kalia (St. Cloud) MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{X. Li} and \textit{C.-P. Chen}, JIPAM, J. Inequal. Pure Appl. Math. 8, No. 1, Paper No. 28, 3 p. (2007; Zbl 1143.33003) Full Text: EuDML EMIS
Qi, Feng; Guo, Bai-Ni; Chen, Chao-Ping The best bounds in Gautschi-Kershaw inequalities. (English) Zbl 1101.33001 Math. Inequal. Appl. 9, No. 3, 427-436 (2006). Reviewer: Adem Kilicman (Serdang) MSC: 33B15 26A48 26D07 PDFBibTeX XMLCite \textit{F. Qi} et al., Math. Inequal. Appl. 9, No. 3, 427--436 (2006; Zbl 1101.33001) 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
Chen, Chaoping; Qi, Feng Completely monotonic function associated with the gamma functions and proof of Wallis’ inequality. (English) Zbl 1092.33002 Tamkang J. Math. 36, No. 4, 303-307 (2005). MSC: 33B15 26A48 26D07 30E20 PDFBibTeX XMLCite \textit{C. Chen} and \textit{F. Qi}, Tamkang J. Math. 36, No. 4, 303--307 (2005; Zbl 1092.33002)
Qi, Feng; Chen, Chao-Ping Monotonicity and convexity results for functions involving the gamma function. (English) Zbl 1081.33006 Int. J. Appl. Math. Sci. 1, No. 1, 27-36 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B15 26D07 26D15 PDFBibTeX XMLCite \textit{F. Qi} and \textit{C.-P. Chen}, Int. J. Appl. Math. Sci. 1, No. 1, 27--36 (2004; Zbl 1081.33006)
Chen, Chao-Ping; Qi, Feng Monotonicity properties for generalized logarithmic means. (English) Zbl 1063.26025 Aust. J. Math. Anal. Appl. 1, No. 2, Article 2, 4 p. (2004). Reviewer: Gheorge Toader (Cluj-Napoca) MSC: 26E60 26A48 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{F. Qi}, Aust. J. Math. Anal. Appl. 1, No. 2, Article 2, 4 p. (2004; Zbl 1063.26025) Full Text: Link
Chen, Chao-Ping; Qi, Feng Inequalities relating to the gamma function. (English) Zbl 1062.33001 Aust. J. Math. Anal. Appl. 1, No. 1, Article 3, 7 p. (2004). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{F. Qi}, Aust. J. Math. Anal. Appl. 1, No. 1, Article 3, 7 p. (2004; Zbl 1062.33001) Full Text: Link
Chen, Chaoping; Qi, Feng Monotonicity results for the Gamma function. (English) Zbl 1059.33004 JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 44, 6 p. (2003). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33B15 26A48 26D07 PDFBibTeX XMLCite \textit{C. Chen} and \textit{F. Qi}, JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 44, 6 p. (2003; Zbl 1059.33004) Full Text: EuDML