engleski

Fejér type inequalities for higher order convex functions and weighted three-point quadrature formulae

The main aim of this note is to present some new Fejér type inequalities for higher order convex functions and a general three-point integral formula. The importance and significance of our paper are reflected in the way in which we prove new Fejér-type inequalities for higher-order convex functions and the general weighted three- point quadrature formula by using a weighted version of the integral identity expressed by w- harmonic sequences of functions, the properties of harmonic sequences of polynomials and the properties of n-convex functions. Also, we derive Fejér-type estimates for a generalization of the Gauss–Legendre three-point quadrature formula, and a generalization of the Gauss– Chebyshev three- point quadrature formula of the first and of the second kind.

Fejér type inequalities, three-point integral formula, higher order convex functions

nije evidentirano