Molnár, Lajos; Simon, Richárd On some algebraic properties related to Heron type operator means on positive definite cones of \(C^\ast\)-algebras. (English) Zbl 07799873 Linear Algebra Appl. 685, 214-246 (2024). MSC: 47A64 47B65 46L05 PDFBibTeX XMLCite \textit{L. Molnár} and \textit{R. Simon}, Linear Algebra Appl. 685, 214--246 (2024; Zbl 07799873) Full Text: DOI
Dinh, Trung Hoa; Osaka, Hiroyuki; Tikhonov, Oleg E. Matrix inequalities and characterizations of operator monotone functions. (English) Zbl 07678099 Aron, Richard M. (ed.) et al., Operator and norm inequalities and related topics. Cham: Birkhäuser. Trends Math., 97-130 (2022). MSC: 47A30 47A50 47A63 46B20 47B35 PDFBibTeX XMLCite \textit{T. H. Dinh} et al., in: Operator and norm inequalities and related topics. Cham: Birkhäuser. 97--130 (2022; Zbl 07678099) Full Text: DOI
Zuo, Hongliang; Li, Yuwei Some inequalities involving interpolations between arithmetic and geometric mean. (English) Zbl 1518.26019 Tatra Mt. Math. Publ. 81, 93-106 (2022). MSC: 26E60 47A64 PDFBibTeX XMLCite \textit{H. Zuo} and \textit{Y. Li}, Tatra Mt. Math. Publ. 81, 93--106 (2022; Zbl 1518.26019) Full Text: DOI
Ghazanfari, Amir Ghasem; Malekinejad, Somayeh Heron means and Pólya inequality for sector matrices. (English) Zbl 07691450 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 64(112), No. 4, 329-339 (2021). MSC: 15A60 15B48 PDFBibTeX XMLCite \textit{A. G. Ghazanfari} and \textit{S. Malekinejad}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 64(112), No. 4, 329--339 (2021; Zbl 07691450)
Zhu, Ling Sharp bounds for Heinz mean by Heron mean and other means. (English) Zbl 1485.26060 AIMS Math. 5, No. 1, 723-731 (2020). MSC: 26E60 47A64 PDFBibTeX XMLCite \textit{L. Zhu}, AIMS Math. 5, No. 1, 723--731 (2020; Zbl 1485.26060) Full Text: DOI
Raïssouli, M.; Furuichi, S. Some inequalities involving Heron and Heinz means of two convex functionals. (English) Zbl 1463.47054 Anal. Math. 46, No. 2, 345-365 (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 47A64 47A63 47N10 PDFBibTeX XMLCite \textit{M. Raïssouli} and \textit{S. Furuichi}, Anal. Math. 46, No. 2, 345--365 (2020; Zbl 1463.47054) Full Text: DOI arXiv
Xu, Renxu; Xu, Huizuo; Qian, Weimao Optimal bounds for a quasi-arithmetic mean in terms of other bivariate means. (Chinese. English summary) Zbl 1449.26045 Math. Pract. Theory 49, No. 9, 304-310 (2019). MSC: 26D15 26E60 PDFBibTeX XMLCite \textit{R. Xu} et al., Math. Pract. Theory 49, No. 9, 304--310 (2019; Zbl 1449.26045)
Ito, Masatoshi Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces. (English) Zbl 1425.26023 Math. Inequal. Appl. 22, No. 3, 949-966 (2019). MSC: 26E60 15A45 47A63 PDFBibTeX XMLCite \textit{M. Ito}, Math. Inequal. Appl. 22, No. 3, 949--966 (2019; Zbl 1425.26023) Full Text: DOI
Yang, Changsen; Ren, Yonghui Some results of Heron mean and Young’s inequalities. (English) Zbl 1498.47045 J. Inequal. Appl. 2018, Paper No. 172, 9 p. (2018). MSC: 47A63 47A64 PDFBibTeX XMLCite \textit{C. Yang} and \textit{Y. Ren}, J. Inequal. Appl. 2018, Paper No. 172, 9 p. (2018; Zbl 1498.47045) Full Text: DOI
Furuichi, Shigeru; Moradi, Hamid Reza Some refinements of classical inequalities. (English) Zbl 1507.47039 Rocky Mt. J. Math. 48, No. 7, 2289-2309 (2018). MSC: 47A63 PDFBibTeX XMLCite \textit{S. Furuichi} and \textit{H. R. Moradi}, Rocky Mt. J. Math. 48, No. 7, 2289--2309 (2018; Zbl 1507.47039) Full Text: DOI arXiv Euclid
Ito, Masatoshi Estimations of the Lehmer mean by the Heron mean and their generalizations involving refined Heinz operator inequalities. (English) Zbl 06946376 Adv. Oper. Theory 3, No. 4, 763-780 (2018). MSC: 47A63 26E60 47A64 PDFBibTeX XMLCite \textit{M. Ito}, Adv. Oper. Theory 3, No. 4, 763--780 (2018; Zbl 06946376) Full Text: DOI Euclid Link
Dinh, Trung Hoa; Dumitru, Raluca; Franco, Jose A. The matrix power means and interpolations. (English) Zbl 06902458 Adv. Oper. Theory 3, No. 3, 647-654 (2018). MSC: 47A63 47A64 47A56 PDFBibTeX XMLCite \textit{T. H. Dinh} et al., Adv. Oper. Theory 3, No. 3, 647--654 (2018; Zbl 06902458) Full Text: DOI Euclid Link
Hoa, Dinh Trung Some inequalities for the matrix Heron mean. (English) Zbl 1403.15013 Linear Algebra Appl. 528, 321-330 (2017). MSC: 15A45 15B57 15A42 PDFBibTeX XMLCite \textit{D. T. Hoa}, Linear Algebra Appl. 528, 321--330 (2017; Zbl 1403.15013) Full Text: DOI arXiv
Choi, Daeshik About Heinz mean inequalities. (English) Zbl 1463.47053 Int. J. Anal. Appl. 15, No. 1, 57-61 (2017). MSC: 47A64 47A63 PDFBibTeX XMLCite \textit{D. Choi}, Int. J. Anal. Appl. 15, No. 1, 57--61 (2017; Zbl 1463.47053) Full Text: Link
Ito, Masatoshi Estimations of power difference mean by Heron mean. (English) Zbl 1373.26035 J. Math. Inequal. 11, No. 3, 831-843 (2017). MSC: 26E60 47A63 PDFBibTeX XMLCite \textit{M. Ito}, J. Math. Inequal. 11, No. 3, 831--843 (2017; Zbl 1373.26035) Full Text: DOI
Choi, Daeshik Inequalities related to Heron means for positive operators. (English) Zbl 1370.47019 J. Math. Inequal. 11, No. 1, 217-223 (2017). MSC: 47A64 47A63 PDFBibTeX XMLCite \textit{D. Choi}, J. Math. Inequal. 11, No. 1, 217--223 (2017; Zbl 1370.47019) Full Text: DOI
Murali, K.; Nagaraja, K. M. Schur convexity of Stolarsky’s extended mean values. (English) Zbl 1348.26011 J. Math. Inequal. 10, No. 3, 725-735 (2016). MSC: 26D10 26D15 PDFBibTeX XMLCite \textit{K. Murali} and \textit{K. M. Nagaraja}, J. Math. Inequal. 10, No. 3, 725--735 (2016; Zbl 1348.26011) Full Text: DOI
Zhao, Jianguo; Wu, Junliang; Cao, Haisong; Liao, Wenshi Operator inequalities involving the arithmetic, geometric, Heinz and Heron means. (English) Zbl 1321.47041 J. Math. Inequal. 8, No. 4, 747-756 (2014). Reviewer: Mohammad Sal Moslehian (Karlstad) MSC: 47A63 47A64 15A45 15A60 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Math. Inequal. 8, No. 4, 747--756 (2014; Zbl 1321.47041) Full Text: DOI Link
Nagaraja, K. M.; Murali, K.; Lokesha, V. Schur convexity and concavity of Gnan mean. (English) Zbl 1298.26057 Proc. Jangjeon Math. Soc. 17, No. 3, 355-367 (2014). MSC: 26D10 26D15 PDFBibTeX XMLCite \textit{K. M. Nagaraja} et al., Proc. Jangjeon Math. Soc. 17, No. 3, 355--367 (2014; Zbl 1298.26057)
Costin, Iulia; Toader, Gheorghe Optimal evaluations of some Seiffert-type means by power means. (English) Zbl 1473.26040 Appl. Math. Comput. 219, No. 9, 4745-4754 (2013). MSC: 26E60 PDFBibTeX XMLCite \textit{I. Costin} and \textit{G. Toader}, Appl. Math. Comput. 219, No. 9, 4745--4754 (2013; Zbl 1473.26040) Full Text: DOI
Kittaneh, Fuad; Krnić, Mario Refined Heinz operator inequalities. (English) Zbl 1278.47026 Linear Multilinear Algebra 61, No. 8, 1148-1157 (2013). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A63 26A51 47A60 PDFBibTeX XMLCite \textit{F. Kittaneh} and \textit{M. Krnić}, Linear Multilinear Algebra 61, No. 8, 1148--1157 (2013; Zbl 1278.47026) Full Text: DOI
Kaur, Rupinderjit; Singh, Mandeep Complete interpolation of matrix versions of Heron and Heinz means. (English) Zbl 1264.15022 Math. Inequal. Appl. 16, No. 1, 93-99 (2013). Reviewer: Ilya Spitkovsky (Williamsburg) MSC: 15A60 15B48 47A64 47A30 47A63 PDFBibTeX XMLCite \textit{R. Kaur} and \textit{M. Singh}, Math. Inequal. Appl. 16, No. 1, 93--99 (2013; Zbl 1264.15022) Full Text: DOI
Qiu, Yefang; Wang, Miaokun; Chu, Yuming The optimal generalized Heronian mean bounds for the identric mean. (English) Zbl 1244.26060 Int. J. Pure Appl. Math. 72, No. 1, 19-26 (2011). MSC: 26E60 PDFBibTeX XMLCite \textit{Y. Qiu} et al., Int. J. Pure Appl. Math. 72, No. 1, 19--26 (2011; Zbl 1244.26060) Full Text: Link
Zong, Cheng; Chu, Yuming Sharp one-parameter mean bounds for the Heron mean. (English) Zbl 1249.26053 J. Hangzhou Norm. Univ., Nat. Sci. 10, No. 4, 309-311, 353 (2011). MSC: 26E60 PDFBibTeX XMLCite \textit{C. Zong} and \textit{Y. Chu}, J. Hangzhou Norm. Univ., Nat. Sci. 10, No. 4, 309--311, 353 (2011; Zbl 1249.26053) Full Text: DOI
Chu, Yu-Ming; Wang, Miao-Kun; Qiu, Ye-Fang An optimal double inequality between power-type Heron and Seiffert means. (English) Zbl 1210.26021 J. Inequal. Appl. 2010, Article ID 146945, 11 p. (2010). Reviewer: Roman Wituła (Gliwice) MSC: 26D15 26E60 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., J. Inequal. Appl. 2010, Article ID 146945, 11 p. (2010; Zbl 1210.26021) Full Text: DOI EuDML
Lokesha, V.; Nagaraja, K. M.; Simsek, Y. New inequalities on the homogeneous functions. (English) Zbl 1216.26017 J. Indones. Math. Soc. 15, No. 1, 49-59 (2009); corrigendum ibid. 21, No. 1, 71-72 (2015). MSC: 26E60 26D15 11B57 PDFBibTeX XMLCite \textit{V. Lokesha} et al., J. Indones. Math. Soc. 15, No. 1, 49--59 (2009; Zbl 1216.26017)
Bhatia, Rajendra; Kosaki, Hideki Mean matrices and infinite divisibility. (English) Zbl 1124.15015 Linear Algebra Appl. 424, No. 1, 36-54 (2007). Reviewer: Martín Argerami (Regina) MSC: 15A45 15B57 47A63 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{H. Kosaki}, Linear Algebra Appl. 424, No. 1, 36--54 (2007; Zbl 1124.15015) Full Text: DOI Link
Lokesha, V.; Zhang, Zh.-H.; Nagaraja, K. M. \(r^{th}\) oscillatory mean for several positive arguments. (English) Zbl 1177.26063 Ultra Sci. Phys. Sci. 18, No. 3 (M), 519-522 (2006). MSC: 26E60 PDFBibTeX XMLCite \textit{V. Lokesha} et al., Ultra Sci. Phys. Sci. 18, No. 3 (M), 519--522 (2006; Zbl 1177.26063)
Lokesha, V.; Zhang, Zhi-Hua The weighted Heron dual mean in \(n\) variables. (English) Zbl 1118.26023 Adv. Stud. Contemp. Math., Kyungshang 13, No. 2, 165-170 (2006). Reviewer: László Tóth (Pécs) MSC: 26D15 PDFBibTeX XMLCite \textit{V. Lokesha} and \textit{Z.-H. Zhang}, Adv. Stud. Contemp. Math., Kyungshang 13, No. 2, 165--170 (2006; Zbl 1118.26023)
Bhatia, Rajendra Interpolating the arithmetic–geometric mean inequality and its operator version. (English) Zbl 1092.15018 Linear Algebra Appl. 413, No. 2-3, 355-363 (2006). Reviewer: Martín Argerami (Regina) MSC: 15A45 15A60 26E60 PDFBibTeX XMLCite \textit{R. Bhatia}, Linear Algebra Appl. 413, No. 2--3, 355--363 (2006; Zbl 1092.15018) Full Text: DOI
Zhang, Zhi-Hua; Lokesha, V.; Wu, Yu-Dong The new bounds of the logarithmic mean. (English) Zbl 1079.26021 Adv. Stud. Contemp. Math., Kyungshang 11, No. 2, 185-191 (2005). MSC: 26D15 26E60 PDFBibTeX XMLCite \textit{Z.-H. Zhang} et al., Adv. Stud. Contemp. Math., Kyungshang 11, No. 2, 185--191 (2005; Zbl 1079.26021)
Jia, Gao; Cao, Jinde A new upper bound of the logarithmic mean. (English) Zbl 1048.26015 JIPAM, J. Inequal. Pure Appl. Math. 4, No. 4, Paper No. 80, 4 p. (2003). MSC: 26D15 26E60 PDFBibTeX XMLCite \textit{G. Jia} and \textit{J. Cao}, JIPAM, J. Inequal. Pure Appl. Math. 4, No. 4, Paper No. 80, 4 p. (2003; Zbl 1048.26015) Full Text: EuDML
Liu, Zheng Comparison of some means. (English) Zbl 1021.26015 J. Math. Res. Expo. 22, No. 4, 583-588 (2002). Reviewer: Peter S.Bullen (Vancouver) MSC: 26D15 26E60 PDFBibTeX XMLCite \textit{Z. Liu}, J. Math. Res. Expo. 22, No. 4, 583--588 (2002; Zbl 1021.26015)