## 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
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