Noor, Muhammad Aslam; Awan, Muhammad Uzair; Noor, Khalida Inayat On some inequalities for relative semi-convex functions. (English) Zbl 1290.26034 J. Inequal. Appl. 2013, Paper No. 332, 16 p. (2013). Summary: We study a new class of convex functions that are called relative semi-convex functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are derived. Several special cases are also discussed. Cited in 12 Documents MSC: 26D15 Inequalities for sums, series and integrals 26A51 Convexity of real functions in one variable, generalizations 49J40 Variational inequalities Keywords:relative semi-convex function; convex set; Hermite-Hadamard inequality; fractional integral PDFBibTeX XMLCite \textit{M. A. Noor} et al., J. Inequal. Appl. 2013, Paper No. 332, 16 p. (2013; Zbl 1290.26034) Full Text: DOI References: [1] doi:10.1016/S0022-247X(02)00325-6 · Zbl 1072.90561 · doi:10.1016/S0022-247X(02)00325-6 [2] doi:10.12785/amis/070309 · Zbl 1264.49007 · doi:10.12785/amis/070309 [3] doi:10.1016/j.jmaa.2006.02.086 · Zbl 1111.26015 · doi:10.1016/j.jmaa.2006.02.086 [4] doi:10.1023/A:1021792726715 · Zbl 0937.90082 · doi:10.1023/A:1021792726715 [5] doi:10.1006/jmaa.2000.7042 · Zbl 0964.49007 · doi:10.1006/jmaa.2000.7042 [6] doi:10.4169/000298910X480126 · Zbl 1204.26036 · doi:10.4169/000298910X480126 [7] doi:10.1016/j.mcm.2011.12.048 · Zbl 1286.26018 · doi:10.1016/j.mcm.2011.12.048 [8] doi:10.1007/s10898-011-9721-2 · Zbl 1275.90087 · doi:10.1007/s10898-011-9721-2 [9] doi:10.1016/j.amc.2011.03.062 · Zbl 1231.26008 · doi:10.1016/j.amc.2011.03.062 [10] doi:10.1016/S0096-3003(03)00558-7 · Zbl 1134.49304 · doi:10.1016/S0096-3003(03)00558-7 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.