×

Some applications of Fejér’s inequality for convex functions. I. (English) Zbl 1264.26025

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.

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
PDF BibTeX XML Cite
Full Text: Link