Naslov
New estimates on the weighted three-point quadrature rule

Autori
Barić, Josipa

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
Transactions of A. Razmadze Mathematical Institute (2023)

Status rada
Prihvaćen

Ključne riječi
higher order convex function ; harmonic sequence ; three-point formula ; weighted function

Sažetak
In this article, weighted three-point integral quadrature formula is estimated by the new bounds using the new method of calculating estimates for quadrature rules applying the weighted Hermite--Hadamard inequality for higher-order convex functions and weighted version of the integral identity expressed by $w$-harmonic sequences of functions. The importance of those results lies in providing new estimates of the definite integral values using weighted three-point formula for numerical integration. Obtained results are employed in establishing new estimates for the Legendre-Gauss three point quadrature formula using specific form of the weight function $w$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA