[1] |
N. Elezović and J. Pečarić, A note on Schur-convex functions, Rocky Mountain J. Math. 30 (2000), no. 3, 853-856, DOI: https://doi.org/10.1216/RMJM/1021477248. · Zbl 0978.26013 |
[2] |
H.-N. Shi, Schur-convex functions related to Hadamard-type inequalities, J. Math. Inequal. 1 (2007), no. 1, 127-136, DOI: https://doi.org/10.7153/JMI-01-13. · Zbl 1131.26017 |
[3] |
B.-Y. Long, Y.-P. Jiang, and Y.-M. Chu, Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional, J. Numer. Anal. Approx. Theory 42 (2013), no. 1, 72-81, DOI: https://doi.org/10.33993/jnaat421-983. · Zbl 1299.26031 |
[4] |
J. Sun, Z.-L. Sun, B.-Y. Xi, and F. Qi, Schur-geometric and Schur-harmonic convexity of an integral mean for convex functions, Turkish J. Anal. Number Theory 3 (2015), no. 3, 87-89, DOI: https://doi.org/10.12691/tjant-3-3-4. |
[5] |
V. Čuljak, I. Franjić, R. Ghulam, and J. Pečarić, Schur-convexity of averages of convex functions, J. Inequal. Appl. 2011 (2011), 581918, DOI: https://doi.org/10.1155/2011/581918. · Zbl 1220.26021 |
[6] |
X.-M. Zhang and Y.-M. Chu, Convexity of the integral arithmetic mean of a convex function, Rocky Mountain J. Math. 40 (2010), no. 3, 1061-1068, DOI: https://doi.org/10.1216/RMJ-2010-40-3-1061. · Zbl 1200.26021 |
[7] |
Y.-M. Chu, G.-D. Wang, and X.-H. Zhang, Schur convexity and Hadamard’s inequality, Math. Inequal. Appl. 13 (2010), no. 4, 725-731, DOI: https://doi.org/10.7153/MIA-13-51. · Zbl 1205.26030 |
[8] |
S.-Y. Jiang, D.-S. Wang, and H.-N. Shi, Two Schur-convex functions related to the generalized integral quasiarithmetic means, Adv. Inequal. Appl. 2017 (2017), 7, https://scik.org/index.php/aia/article/view/3023. |
[9] |
N. Safaei and A. Barani, Schur-convexity of integral arithmetic means of co-ordinated convex functions in R3, Math. Anal. Convex Optim. 1 (2020), no. 1, 15-24, DOI: https://doi.org/10.29252/maco.1.1.3. |
[10] |
H.-N. Shi, Two Schur-convex functions related to Hadamard-type integral inequalities, Publ. Math. Debrecen 78 (2011), no. 2, 393-403, DOI: https://doi.org/10.5486/PMD.2011.4777. · Zbl 1240.26052 |
[11] |
S. Kovaccc, Schur-geometric and Schur-harmonic convexity of weighted integral mean, Trans. A. Razmadze Math. Inst. 175 (2021), no. 2, 225-233, https://rmi.tsu.ge/transactions/TRMI-volumes/175-2/v175(2)-6.pdf. · Zbl 1481.26017 |
[12] |
S. S. Dragomir, Operator Schur convexity and some integral inequalities, Linear Multilinear Algebra 69 (2021), no. 14, 2733-2748, DOI: https://doi.org/10.1080/03081087.2019.1694484. · Zbl 1540.47028 |
[13] |
H.-N. Shi, Schur-Convex Functions and Inequalities, Volume 2: Applications in Inequalities, De Gruyter, Harbin Institute of Technology Press, Berlin, Boston, 2019. · Zbl 1436.26002 |
[14] |
H.-N. Shi, D.-S. Wang, and C.-R. Fu, Schur-convexity of the mean of convex functions for two variables, Axioms 11 (2022), no. 12, 681, DOI: https://doi.org/10.3390/axioms11120681. |
[15] |
S. S. Dragomir, On the Hadamardas inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese J. Math. 5 (2001), no. 4, 775-788, DOI: https://doi.org/10.11650/twjm/1500574995. · Zbl 1002.26017 |
[16] |
M. K. Bakula and J. Pečarić, On the Jensenas inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese J. Math. 10 (2006), no. 5, 1271-1292, DOI: https://doi.org/10.11650/twjm/1500557302. · Zbl 1114.26019 |
[17] |
B.-Y. Wang, Foundations of Majorization Inequalities, Beijing Normal University Press, Beijing, 1990. (in Chinese) |
[18] |
A. W. Marshall, I. Olkin, and B. C. Arnold, Inequalities: Theory of Majorization and Its Application, 2nd ed., Springer, New York, 2011. · Zbl 1219.26003 |
[19] |
X.-M. Zhang, Geometrically Convex Functions, Anhui University Press, Hefei, 2004. (in Chinese) |
[20] |
Y.-M. Chu, G.-D. Wang, and X.-H. Zhang, The Schur multiplicative and harmonic convexities of the complete symmetric function, Math. Nachr. 284 (2011), no. 5-6, 653-663, DOI: https://doi.org/10.1002/mana.200810197. · Zbl 1221.26020 |
[21] |
Y.-M. Chu, W.-F. Xia, and X.-H. Zhang, The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications, J. Multivariate Anal. 105 (2012), no. 1, 412-421, DOI: https://doi.org/10.1016/j.jmva.2011.08.004. · Zbl 1241.05148 |
[22] |
Z.-H. Yang, Schur power convexity of Stolarsky means, Publ. Math. Debrecen 80 (2012), no. 1-2, 43-66, DOI: https://doi.org/10.5486/PMD.2012.4812. · Zbl 1299.26035 |
[23] |
H.-N. Shi, Schur-Convex Functions and Inequalities, Vol. 1, Concepts, Properties, and Applications in Symmetric Function Inequalities, De Gruyter, Harbin Institute of Technology Press, Berlin, Boston, 2019. · Zbl 1436.26003 |