Xiang, Ruiyin; Chen, Feixiang On some integral inequalities related to Hermite-Hadamard-Fejér inequalities for coordinated convex functions. (English) Zbl 1317.26021 Chin. J. Math. (New York) 2014, Article ID 796132, 10 p. (2014). Summary: Several new mappings associated with coordinated convexity are proposed, by which we obtain some new Hermite-Hadamard-Fejér type inequalities for coordinated convex functions. We conclude that the results obtained in this work are the generalizations of the earlier results. Cited in 7 Documents MSC: 26D15 Inequalities for sums, series and integrals 26A51 Convexity of real functions in one variable, generalizations PDFBibTeX XMLCite \textit{R. Xiang} and \textit{F. Chen}, Chin. J. Math. (New York) 2014, Article ID 796132, 10 p. (2014; Zbl 1317.26021) Full Text: DOI References: [1] L. Fejér, “Uber die Fourierreihen, II,” Mathematischer und Naturwissenschaftlicher Anzeiger der Ungarischen Akademie der Wissenschaften, vol. 24, pp. 369-390, 1906 (Hungarian). · JFM 37.0286.01 [2] S. Abramovich, G. Farid, and J. Pe, “More about Hermite-HADamard inequalities, Cauchy’s means, and superquadracity,” Journal of Inequalities and Applications, vol. 2010, Article ID 102467, 14 pages, 2010. · Zbl 1205.26028 · doi:10.1155/2010/102467 [3] M. Bessenyei and Z. Páles, “Hadamard-type inequalities for generalized convex functions,” Mathematical Inequalities & Applications, vol. 6, no. 3, pp. 379-392, 2003. · Zbl 1043.26009 · doi:10.7153/mia-06-35 [4] S. S. Dragomir, “Two mappings in connection to Hadamard’s inequalities,” Journal of Mathematical Analysis and Applications, vol. 167, no. 1, pp. 49-56, 1992. · Zbl 0758.26014 · doi:10.1016/0022-247X(92)90233-4 [5] S. S. Dragomir, “On the Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane,” Taiwanese Journal of Mathematics, vol. 5, no. 4, pp. 775-788, 2001. · Zbl 1002.26017 [6] A. El Farissi, “Simple proof and refinement of Hermite-HADamard inequality,” Journal of Mathematical Inequalities, vol. 4, no. 3, pp. 365-369, 2010. · Zbl 1197.26017 · doi:10.7153/jmi-04-33 [7] X. Gao, “A note on the Hermite-HADamard inequality,” Journal of Mathematical Inequalities, vol. 4, no. 4, pp. 587-591, 2010. · Zbl 1208.26033 · doi:10.7153/jmi-04-52 [8] U. S. Kirmaci, M. K. Bakula, M. E. Özdemir, and J. Pe, “Hadamard-type inequalities for s-convex functions,” Applied Mathematics and Computation, vol. 193, no. 1, pp. 26-35, 2007. · Zbl 1193.26020 [9] M. Z. Sarikaya, A. Saglam, and H. Yildirim, “On some Hadamard-type inequalities for h-convex functions,” Journal of Mathematical Inequalities, vol. 2, no. 3, pp. 335-341, 2008. · Zbl 1166.26302 · doi:10.7153/jmi-02-30 [10] G.-S. Yang and M.-C. Hong, “A note on Hadamard’s inequality,” Tamkang Journal of Mathematics, vol. 28, no. 1, pp. 33-37, 1997. · Zbl 0880.26019 [11] D.-Y. Hwang, K.-L. Tseng, and G.-S. Yang, “Some Hadamard’s inequalities for co-ordinated convex functions in a rectangle from the plane,” Taiwanese Journal of Mathematics, vol. 11, no. 1, pp. 63-73, 2007. · Zbl 1132.26360 [12] M. Alomari and M. Darus, “Fejér inequality for double integrals,” Facta Universitatis: Series Mathematics and Informatics, vol. 24, no. 1, pp. 15-28, 2009. · Zbl 1265.26059 [13] G.-S. Yang and K.-L. Tseng, “On certain integral inequalities related to Hermite-HADamard inequalities,” Journal of Mathematical Analysis and Applications, vol. 239, no. 1, pp. 180-187, 1999. · Zbl 0939.26010 · doi:10.1006/jmaa.1999.6506 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.