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

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

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 <i>w</i>-harmonic sequences of functions. In special cases, Hermite–Hadamard–Fejér-typ...

Full description

Bibliographic Details
Main Author: Mihaela Ribičić Penava
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Hermite–Hadamard–Fejér inequalities
weighted three-point formulae
higher-order convex functions
w-harmonic sequences of functions
harmonic sequences of polynomials
Online Access:https://www.mdpi.com/2227-7390/9/15/1720
id doaj-c82fcd1a29854f97885080aa0b17dd87
record_format Article
spelling doaj-c82fcd1a29854f97885080aa0b17dd872021-08-06T15:28:12ZengMDPI AGMathematics2227-73902021-07-0191720172010.3390/math9151720Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature FormulaeMihaela Ribičić Penava0Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Trg Ljudevita Gaja 6, 31000 Osijek, CroatiaThe 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 <i>w</i>-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.https://www.mdpi.com/2227-7390/9/15/1720Hermite–Hadamard–Fejér inequalitiesweighted three-point formulaehigher-order convex functionsw-harmonic sequences of functionsharmonic sequences of polynomials
collection DOAJ
language English
format Article
sources DOAJ
author Mihaela Ribičić Penava
spellingShingle Mihaela Ribičić Penava
Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
Mathematics
Hermite–Hadamard–Fejér inequalities
weighted three-point formulae
higher-order convex functions
w-harmonic sequences of functions
harmonic sequences of polynomials
author_facet Mihaela Ribičić Penava
author_sort Mihaela Ribičić Penava
title Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
title_short Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
title_full Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
title_fullStr Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
title_full_unstemmed Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
title_sort hermite–hadamard–fejér-type inequalities and weighted three-point quadrature formulae
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-07-01
description 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 <i>w</i>-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.
topic Hermite–Hadamard–Fejér inequalities
weighted three-point formulae
higher-order convex functions
w-harmonic sequences of functions
harmonic sequences of polynomials
url https://www.mdpi.com/2227-7390/9/15/1720
work_keys_str_mv AT mihaelaribicicpenava hermitehadamardfejertypeinequalitiesandweightedthreepointquadratureformulae
_version_ 1721217967606202368

Similar Items