Dragomir, S. S.; Gomm, I. Some applications of Fejér’s inequality for convex functions. I. (English) Zbl 1264.26025 Aust. J. Math. Anal. Appl. 10, No. 1, Article No. 9, 11 p. (2013). Summary: Some applications of Fejér’s inequality for convex functions are explored. Upper and lower bounds for the weighted integral \[ \int^b_a(b-x)(x-a)f(x)dx \] under various assumptions on \(f\) with applications to the trapezoidal quadrature rule are given. Some inequalities for special means are also provided. Cited in 1 ReviewCited in 2 Documents MSC: 26D15 Inequalities for sums, series and integrals 26D10 Inequalities involving derivatives and differential and integral operators 26E70 Real analysis on time scales or measure chains Keywords:convex functions; Hermite-Hadamard inequality; Fejér’s inequality; special means PDFBibTeX XMLCite \textit{S. S. Dragomir} and \textit{I. Gomm}, Aust. J. Math. Anal. Appl. 10, No. 1, Article No. 9, 11 p. (2013; Zbl 1264.26025) Full Text: Link