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Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae

Author

Listed:
  • Mihaela Ribičić Penava

    (Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Trg Ljudevita Gaja 6, 31000 Osijek, Croatia)

Abstract

The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w -harmonic sequences of functions. In special cases, Hermite–Hadamard–Fejér-type estimates are derived for various classical quadrature formulae such as the Gauss–Legendre three-point quadrature formula and the Gauss–Chebyshev three-point quadrature formula of the first and of the second kind.

Suggested Citation

  • Mihaela Ribičić Penava, 2021. "Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae," Mathematics, MDPI, vol. 9(15), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1720-:d:598925
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