Zhao, Tiehong; Wang, Miaokun Discrete approximation of complete \(p\)-elliptic integral of the second kind and its application. (English) Zbl 07796724 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 37, 18 p. (2024). MSC: 33E05 26E60 65D15 PDFBibTeX XMLCite \textit{T. Zhao} and \textit{M. Wang}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 37, 18 p. (2024; Zbl 07796724) Full Text: DOI
Wang, Miao-Kun; Zhao, Tie-Hong; Ren, Xue-Jing; Chu, Yu-Ming; He, Zai-Yin Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications. (English) Zbl 07778478 Indian J. Pure Appl. Math. 54, No. 4, 1105-1124 (2023). Reviewer: Showkat Ahmad (Sopore) MSC: 33C05 33E05 26A48 26A51 26D07 26D20 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Indian J. Pure Appl. Math. 54, No. 4, 1105--1124 (2023; Zbl 07778478) Full Text: DOI
Wang, Miao-Kun; He, Zai-Yin; Zhao, Tie-Hong; Bao, Qi Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind. (English) Zbl 07703432 Integral Transforms Spec. Funct. 34, No. 7, 537-551 (2023). MSC: 33E05 26E60 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Integral Transforms Spec. Funct. 34, No. 7, 537--551 (2023; Zbl 07703432) Full Text: DOI
Zhao, Tie-hong; Wang, Miao-kun Sharp bounds for the lemniscatic mean by the weighted Hölder mean. (English) Zbl 1524.26098 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 96, 19 p. (2023). MSC: 26E60 26D07 33E05 PDFBibTeX XMLCite \textit{T.-h. Zhao} and \textit{M.-k. Wang}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 96, 19 p. (2023; Zbl 1524.26098) Full Text: DOI
He, Zai-Yin; Jiang, Yue-Ping; Wang, Miao-Kun Sharp approximations for the generalized elliptic integral of the first kind. (English) Zbl 1512.33017 Math. Slovaca 73, No. 2, 425-438 (2023). Reviewer: Klaus Schiefermayr (Wels) MSC: 33E05 26D07 PDFBibTeX XMLCite \textit{Z.-Y. He} et al., Math. Slovaca 73, No. 2, 425--438 (2023; Zbl 1512.33017) Full Text: DOI
Bao, Qi; Wang, Miao-Kun; Qiu, Song-Liang Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter. (English) Zbl 07662232 Math. Inequal. Appl. 25, No. 4, 1021-1045 (2022). MSC: 33C05 33E05 33C75 26D07 PDFBibTeX XMLCite \textit{Q. Bao} et al., Math. Inequal. Appl. 25, No. 4, 1021--1045 (2022; Zbl 07662232) Full Text: DOI arXiv
Bao, Qi; Ren, Xue-Jing; Wang, Miao-Kun A monotonicity theorem for the generalized elliptic integral of the first kind. (English) Zbl 1513.33047 Appl. Anal. Discrete Math. 16, No. 2, 365-378 (2022). MSC: 33E05 33C75 PDFBibTeX XMLCite \textit{Q. Bao} et al., Appl. Anal. Discrete Math. 16, No. 2, 365--378 (2022; Zbl 1513.33047) Full Text: DOI
Wang, Miao-Kun; Wu, Jia-Hui The \(t\)-modification of homogeneous symmetric means concerning complete elliptic integrals. (English) Zbl 1517.33008 J. Math. Inequal. 16, No. 2, 587-598 (2022). MSC: 33E05 26E60 PDFBibTeX XMLCite \textit{M.-K. Wang} and \textit{J.-H. Wu}, J. Math. Inequal. 16, No. 2, 587--598 (2022; Zbl 1517.33008) Full Text: DOI
Zhao, Tiehong; Wang, Miaokun; Chu, Yuming On the bounds of the perimeter of an ellipse. (English) Zbl 1513.26084 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 491-501 (2022). MSC: 26E60 33C05 33E05 PDFBibTeX XMLCite \textit{T. Zhao} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 491--501 (2022; Zbl 1513.26084) Full Text: DOI
Zhao, Tie-Hong; Wang, Miao-Kun; Dai, Ye-Qi; Chu, Yu-Ming On the generalized power-type Toader mean. (English) Zbl 1500.26020 J. Math. Inequal. 16, No. 1, 247-264 (2022). MSC: 26E60 33E05 PDFBibTeX XMLCite \textit{T.-H. Zhao} et al., J. Math. Inequal. 16, No. 1, 247--264 (2022; Zbl 1500.26020) Full Text: DOI
Qian, Wei-Mao; Chu, Hong-Hu; Wang, Miao-Kun; Chu, Yu-Ming Sharp inequalities for the Toader mean of order \(-1\) in terms of other bivariate means. (English) Zbl 1511.26029 J. Math. Inequal. 16, No. 1, 127-141 (2022). MSC: 26E60 33E05 PDFBibTeX XMLCite \textit{W.-M. Qian} et al., J. Math. Inequal. 16, No. 1, 127--141 (2022; Zbl 1511.26029) Full Text: DOI
Zhao, Tie-Hong; Wang, Miao-Kun; Hai, Guo-Jing; Chu, Yu-Ming Landen inequalities for Gaussian hypergeometric function. (English) Zbl 1501.33009 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 53, 23 p. (2022). Reviewer: Vijay Yadav (Virar) MSC: 33E05 33C05 PDFBibTeX XMLCite \textit{T.-H. Zhao} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 53, 23 p. (2022; Zbl 1501.33009) Full Text: DOI
Qian, Wei-Mao; Wang, Miao-Kun Sharp bounds for Gauss lemniscate functions and lemniscatic means. (English) Zbl 1484.26112 AIMS Math. 6, No. 7, 7479-7493 (2021). MSC: 26E60 26D07 33E05 PDFBibTeX XMLCite \textit{W.-M. Qian} and \textit{M.-K. Wang}, AIMS Math. 6, No. 7, 7479--7493 (2021; Zbl 1484.26112) Full Text: DOI
Zhao, Tie-Hong; Wang, Miao-Kun; Chu, Yu-Ming Concavity and bounds involving generalized elliptic integral of the first kind. (English) Zbl 1472.33013 J. Math. Inequal. 15, No. 2, 701-724 (2021). Reviewer: Klaus Schiefermayr (Wels) MSC: 33E05 26A51 33C05 PDFBibTeX XMLCite \textit{T.-H. Zhao} et al., J. Math. Inequal. 15, No. 2, 701--724 (2021; Zbl 1472.33013) Full Text: DOI
Qian, Wei-Mao; Wang, Miao-Kun; Xu, Hui-Zuo; Chu, Yu-Ming Approximations for the complete elliptic integral of the second Kind. (English) Zbl 1467.33020 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 88, 11 p. (2021). MSC: 33E05 26E60 PDFBibTeX XMLCite \textit{W.-M. Qian} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 88, 11 p. (2021; Zbl 1467.33020) Full Text: DOI
Zhao, Tie-Hong; Wang, Miao-Kun; Chu, Yu-Ming Monotonicity and convexity involving generalized elliptic integral of the first kind. (English) Zbl 1456.33016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 46, 13 p. (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 33E05 33C05 PDFBibTeX XMLCite \textit{T.-H. Zhao} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 46, 13 p. (2021; Zbl 1456.33016) Full Text: DOI
Huang, Xi-Fan; Wang, Miao-Kun; Shao, Hao; Zhao, Yi-Fan; Chu, Yu-Ming Monotonicity properties and bounds for the complete \(p\)-elliptic integrals. (English) Zbl 1484.33022 AIMS Math. 5, No. 6, 7071-7086 (2020). MSC: 33E05 33F05 PDFBibTeX XMLCite \textit{X.-F. Huang} et al., AIMS Math. 5, No. 6, 7071--7086 (2020; Zbl 1484.33022) Full Text: DOI
Zhao, Tie-Hong; Wang, Miao-Kun; Chu, Yu-Ming A sharp double inequality involving generalized complete elliptic integral of the first kind. (English) Zbl 1484.33025 AIMS Math. 5, No. 5, 4512-4528 (2020). MSC: 33E05 26D07 26D15 33C05 PDFBibTeX XMLCite \textit{T.-H. Zhao} et al., AIMS Math. 5, No. 5, 4512--4528 (2020; Zbl 1484.33025) Full Text: DOI
Wang, Miao-Kun; Chu, Hong-Hu; Li, Yong-Min; Chu, Yu-Ming Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind. (English) Zbl 1474.33081 Appl. Anal. Discrete Math. 14, No. 1, 255-271 (2020). MSC: 33E05 26A51 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Appl. Anal. Discrete Math. 14, No. 1, 255--271 (2020; Zbl 1474.33081) Full Text: DOI
Wang, Miaokun; He, Zaiyin; Chu, Yuming Concavity of the complete \(p\)-elliptic integral of the second kind according to Hölder mean. (Chinese. English summary) Zbl 1474.33082 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1269-1281 (2020). MSC: 33E05 26A51 26E60 PDFBibTeX XMLCite \textit{M. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1269--1281 (2020; Zbl 1474.33082)
Wang, Miaokun; Chu, Yuming; Qiu, Songliang The simple proof and generalization of a conjecture concerning generalized Legendre identity. (Chinese. English summary) Zbl 1463.33008 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 662-666 (2020). MSC: 33C05 33E05 PDFBibTeX XMLCite \textit{M. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 662--666 (2020; Zbl 1463.33008)
He, Zai-Yin; Wang, Miao-Kun; Jiang, Yue-Ping; Chu, Yu-Ming Bounds for the perimeter of an ellipse in terms of power means. (English) Zbl 1456.26023 J. Math. Inequal. 14, No. 3, 887-899 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 26E60 33E05 33C75 PDFBibTeX XMLCite \textit{Z.-Y. He} et al., J. Math. Inequal. 14, No. 3, 887--899 (2020; Zbl 1456.26023) Full Text: DOI
Wang, Miao-Kun; Chu, Yu-Ming; Li, Yong-Min; Zhang, Wen Asymptotic expansion and bounds for complete elliptic integrals. (English) Zbl 1455.33013 Math. Inequal. Appl. 23, No. 3, 821-841 (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33E05 26E60 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Math. Inequal. Appl. 23, No. 3, 821--841 (2020; Zbl 1455.33013) Full Text: DOI
Wang, Miao-Kun; He, Zai-Yin; Chu, Yu-Ming Sharp power mean inequalities for the generalized elliptic integral of the first kind. (English) Zbl 1437.33018 Comput. Methods Funct. Theory 20, No. 1, 111-124 (2020). MSC: 33E05 26E60 33C05 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Comput. Methods Funct. Theory 20, No. 1, 111--124 (2020; Zbl 1437.33018) Full Text: DOI
Wang, Miaokun; Zhang, Wen; Chu, Yuming Monotonicity, convexity and inequalities involving the generalized elliptic integrals. (English) Zbl 1499.33072 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1440-1450 (2019). MSC: 33E05 PDFBibTeX XMLCite \textit{M. Wang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1440--1450 (2019; Zbl 1499.33072) Full Text: DOI
Wang, Miao-Kun; Chu, Hong-Hu; Chu, Yu-Ming Precise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integrals. (English) Zbl 1426.33050 J. Math. Anal. Appl. 480, No. 2, Article ID 123388, 9 p. (2019). MSC: 33E05 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., J. Math. Anal. Appl. 480, No. 2, Article ID 123388, 9 p. (2019; Zbl 1426.33050) Full Text: DOI
Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen Monotonicity and inequalities involving zero-balanced hypergeometric function. (English) Zbl 1416.33007 Math. Inequal. Appl. 22, No. 2, 601-617 (2019). MSC: 33C05 26D07 33E05 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Math. Inequal. Appl. 22, No. 2, 601--617 (2019; Zbl 1416.33007) Full Text: DOI
Wang, Miao-Kun; Qiu, Song-Liang; Chu, Yu-Ming Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function. (English) Zbl 1402.30022 Math. Inequal. Appl. 21, No. 3, 629-648 (2018). MSC: 30C62 33E05 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Math. Inequal. Appl. 21, No. 3, 629--648 (2018; Zbl 1402.30022) Full Text: DOI
Wang, Miao-Kun; Chu, Yu-Ming Landen inequalities for a class of hypergeometric functions with applications. (English) Zbl 1384.33034 Math. Inequal. Appl. 21, No. 2, 521-537 (2018). MSC: 33E05 33C05 PDFBibTeX XMLCite \textit{M.-K. Wang} and \textit{Y.-M. Chu}, Math. Inequal. Appl. 21, No. 2, 521--537 (2018; Zbl 1384.33034) Full Text: DOI
Wang, Miaokun; Chu, Yuming Refinements of transformation inequalities for zero-balanced hypergeometric functions. (English) Zbl 1399.33006 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 3, 607-622 (2017). MSC: 33C05 33E05 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Y. Chu}, Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 3, 607--622 (2017; Zbl 1399.33006) Full Text: DOI
Wang, Miaokun; Chu, Yuming; Jiang, Yueping; Yan, Dandan A class of quadratic transformation inequalities for zero-balanced hypergeometric functions. (Chinese. English summary) Zbl 1324.33005 Acta Math. Sci., Ser. A, Chin. Ed. 34, No. 4, 999-1007 (2014). MSC: 33C05 33E05 PDFBibTeX XMLCite \textit{M. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 34, No. 4, 999--1007 (2014; Zbl 1324.33005)
Wang, Miao-Kun; Chu, Yu-Ming; Jiang, Yue-Ping; Qiu, Song-Liang Bounds of the perimeter of an ellipse using arithmetic, geometric and harmonic means. (English) Zbl 1285.26053 Math. Inequal. Appl. 17, No. 1, 101-111 (2014). MSC: 26E60 33E05 33C05 41A10 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Math. Inequal. Appl. 17, No. 1, 101--111 (2014; Zbl 1285.26053) Full Text: DOI
Chu, Y. M.; Qiu, S. L.; Wang, M. K. Sharp inequalities involving the power mean and complete elliptic integral of the first kind. (English) Zbl 1314.33019 Rocky Mt. J. Math. 43, No. 5, 1489-1496 (2013). Reviewer: Tim Huber (Edinburg) MSC: 33E05 26E60 PDFBibTeX XMLCite \textit{Y. M. Chu} et al., Rocky Mt. J. Math. 43, No. 5, 1489--1496 (2013; Zbl 1314.33019) Full Text: DOI Euclid
Wang, Miao-Kun; Chu, Yu-Ming; Qiu, Song-Liang Some monotonicity properties of generalized elliptic integrals with applications. (English) Zbl 1276.33029 Math. Inequal. Appl. 16, No. 3, 671-677 (2013). MSC: 33E05 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Math. Inequal. Appl. 16, No. 3, 671--677 (2013; Zbl 1276.33029) Full Text: DOI
Chu, Yu-Ming; Wang, Miao-Kun; Ma, Xiao-Yan Sharp bounds for Toader mean in terms of contraharmonic mean with applications. (English) Zbl 1276.26056 J. Math. Inequal. 7, No. 2, 161-166 (2013). MSC: 26E60 33E05 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., J. Math. Inequal. 7, No. 2, 161--166 (2013; Zbl 1276.26056) Full Text: DOI Link
Wang, Miao-Kun; Chu, Yu-Ming Asymptotical bounds for complete elliptic integrals of the second kind. (English) Zbl 1264.33029 J. Math. Anal. Appl. 402, No. 1, 119-126 (2013). MSC: 33E05 PDFBibTeX XMLCite \textit{M.-K. Wang} and \textit{Y.-M. Chu}, J. Math. Anal. Appl. 402, No. 1, 119--126 (2013; Zbl 1264.33029) Full Text: DOI arXiv
Chu, Yu-Ming; Wang, Miao-Kun; Qiu, Song-Liang Optimal combinations bounds of root-square and arithmetic means for Toader mean. (English) Zbl 1276.26057 Proc. Indian Acad. Sci., Math. Sci. 122, No. 1, 41-51 (2012). MSC: 26E60 33E05 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., Proc. Indian Acad. Sci., Math. Sci. 122, No. 1, 41--51 (2012; Zbl 1276.26057) Full Text: DOI
Ma, Xiao-Yan; Wang, Miao-Kun; Zhong, Gen-Hong; Qiu, Song-Liang; Chu, Yuming Some inequalities for the generalized distortion functions. (English) Zbl 1251.33016 Math. Inequal. Appl. 15, No. 4, 941-954 (2012). MSC: 33E05 30C62 PDFBibTeX XMLCite \textit{X.-Y. Ma} et al., Math. Inequal. Appl. 15, No. 4, 941--954 (2012; Zbl 1251.33016) Full Text: DOI
Chu, Yu-Ming; Qiu, Ye-Fang; Wang, Miao-Kun Hölder mean inequalities for the complete elliptic integrals. (English) Zbl 1258.33011 Integral Transforms Spec. Funct. 23, No. 7, 521-527 (2012). Reviewer: József Sándor (Cluj-Napoca) MSC: 33E05 26E60 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., Integral Transforms Spec. Funct. 23, No. 7, 521--527 (2012; Zbl 1258.33011) Full Text: DOI
Chu, Yu-Ming; Wang, Miao-Kun; Qiu, Song-Liang; Jiang, Yue-Ping Bounds for complete elliptic integrals of the second kind with applications. (English) Zbl 1247.33034 Comput. Math. Appl. 63, No. 7, 1177-1184 (2012). MSC: 33E05 33F05 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., Comput. Math. Appl. 63, No. 7, 1177--1184 (2012; Zbl 1247.33034) Full Text: DOI
Chu, Yu-Ming; Wang, Miao-Kun; Jiang, Yue-Ping; Qiu, Song-Liang Concavity of the complete elliptic integrals of the second kind with respect to Hölder means. (English) Zbl 1251.33015 J. Math. Anal. Appl. 395, No. 2, 637-642 (2012). MSC: 33E05 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., J. Math. Anal. Appl. 395, No. 2, 637--642 (2012; Zbl 1251.33015) Full Text: DOI
Qiu, Song-Liang; Qiu, Ye-Fang; Wang, Miao-Kun; Chu, Yu-Ming Hölder mean inequalities for the generalized Grötzsch ring and Hersch-Pfluger distortion functions. (English) Zbl 1243.33062 Math. Inequal. Appl. 15, No. 1, 237-245 (2012). MSC: 33E05 PDFBibTeX XMLCite \textit{S.-L. Qiu} et al., Math. Inequal. Appl. 15, No. 1, 237--245 (2012; Zbl 1243.33062) Full Text: DOI
Wang, Miao-Kun; Chu, Yu-Ming; Qiu, Song-Liang; Jiang, Yue-Ping Convexity of the complete elliptic integrals of the first kind with respect to Hölder means. (English) Zbl 1235.33013 J. Math. Anal. Appl. 388, No. 2, 1141-1146 (2012). MSC: 33C75 33E05 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., J. Math. Anal. Appl. 388, No. 2, 1141--1146 (2012; Zbl 1235.33013) Full Text: DOI
Chu, Yu-Ming; Wang, Miao-Kun; Qiu, Ye-Fang On Alzer and Qiu’s conjecture for complete elliptic integral and inverse hyperbolic tangent function. (English) Zbl 1226.33010 Abstr. Appl. Anal. 2011, Article ID 697547, 7 p. (2011). MSC: 33E05 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., Abstr. Appl. Anal. 2011, Article ID 697547, 7 p. (2011; Zbl 1226.33010) Full Text: DOI
Wang, Miao-Kun; Chu, Yu-Ming; Qiu, Ye-Fang; Qiu, Song-Liang An optimal power mean inequality for the complete elliptic integrals. (English) Zbl 1216.33044 Appl. Math. Lett. 24, No. 6, 887-890 (2011). MSC: 33E05 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Appl. Math. Lett. 24, No. 6, 887--890 (2011; Zbl 1216.33044) Full Text: DOI
Wang, Miao-Kun; Qiu, Ye-Fang; Chu, Yu-Ming An optimal double inequality among the one-parameter, arithmetic and harmonic means. (English) Zbl 1249.33016 Rev. Anal. Numér. Théor. Approx. 39, No. 2, 169-175 (2010). MSC: 33E05 26E60 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Rev. Anal. Numér. Théor. Approx. 39, No. 2, 169--175 (2010; Zbl 1249.33016)