Fejér type inequalities for higher order convex functions and quadrature formulae

Josipa Barić; LJILJANKA KVESIĆ; PEČARIĆ JOSIP; Mihaela Ribičić Penava

Detalji o radu

Broj pregleda rada: 37

Naslov: Fejér type inequalities for higher order convex functions and quadrature formulae

DOI: 10.1007/s00010-021-00825-7

Godina: 2022

Autori: JOSIPA BARIĆ, LJILJANKA KVESIĆ, PEČARIĆ JOSIP, MIHAELA RIBIČIĆ PENAVA

Sažetak: The aim of this paper is to obtain Fejér type inequalities for higher order convex functions and the general weighted integral formula involving w-harmonic sequences of functions. Also, Fejér type inequalities are obtained for the general three, four and five point quadrature formulae. Further, Fejér type inequalities for the corrected three, corrected four and corrected five point quadrature formulae are considered. In special cases, Fejér type estimates for Simpson, Maclaurin, corrected Simpson and corrected Maclaurin quadrature rules are derived.

Vrsta rada: Izvorni znanstveni članak

Izdanje: Aequationes mathematicae

Znanstvena područja: MATEMATIKA , FIZIKA , KEMIJA , GEOZNANOSTI , BIOLOGIJA , RAČUNALNE I INFORMATIČKE ZNANOSTI , INTERDISCIPLINARNE PRIRODNE ZNANOSTI , PRIRODNE ZNANOSTI