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Article

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

Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Trg Ljudevita Gaja 6, 31000 Osijek, Croatia
Academic Editor: Janusz Brzdęk
Mathematics 2021, 9(15), 1720; https://doi.org/10.3390/math9151720
Received: 28 June 2021 / Revised: 17 July 2021 / Accepted: 20 July 2021 / Published: 22 July 2021
(This article belongs to the Special Issue Mathematical Inequalities with Applications)
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. View Full-Text
Keywords: Hermite–Hadamard–Fejér inequalities; weighted three-point formulae; higher-order convex functions; w-harmonic sequences of functions; harmonic sequences of polynomials Hermite–Hadamard–Fejér inequalities; weighted three-point formulae; higher-order convex functions; w-harmonic sequences of functions; harmonic sequences of polynomials
MDPI and ACS Style

Ribičić Penava, M. Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae. Mathematics 2021, 9, 1720. https://doi.org/10.3390/math9151720

AMA Style

Ribičić Penava M. Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae. Mathematics. 2021; 9(15):1720. https://doi.org/10.3390/math9151720

Chicago/Turabian Style

Ribičić Penava, Mihaela. 2021. "Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae" Mathematics 9, no. 15: 1720. https://doi.org/10.3390/math9151720

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