Open AccessEstimates on some quadrature rules via weighted Hermite-Hadamard inequality
Author(s) -
Josipa Barić,
Ljiljanka Kvesić,
Josip Pečarić,
Mihaela Ribicic-Penava
Publication year - 2022
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm201127013b
Subject(s) - mathematics , hadamard transform , quadrature (astronomy) , hermite polynomials , convex function , numerical integration , gauss–kronrod quadrature formula , jensen's inequality , identity (music) , gaussian quadrature , mathematical analysis , pure mathematics , regular polygon , convex optimization , integral equation , convex analysis , nyström method , geometry , physics , electrical engineering , acoustics , engineering
In this article new estimates on some quadrature rules are given using weighted Hermite-Hadamard inequality for higher order convex functions and weighted version of the integral identity expressed by w-harmonic sequences of functions. Obtained results are applied to weighted one-point formula for numerical integration in order to derive new estimates of the definite integral values.