ESTIMATES ON SOME QUADRATURE RULES VIA WEIGHTED HERMITE-HADAMARD INEQUALITY

被引：6

作者：

Baric, Josipa ^{[1
]}

Kvesic, Ljiljanka ^{[2
]}

Pecaric, Josip ^{[3
]}

Penava, Mihaela Ribicic ^{[4
]}

机构：

[1] Univ Split, Fac Elect Engn Mech Engn & Naval Architecture, Rudjera Boskovica 32, Split, Croatia

[2] Univ Mostar, Fac Sci & Educ, Matice Hrvatske Bb, Mostar 88000, Bosnia & Herceg

[3] Croatian Acad Sci & Arts, Zagreb, Croatia

[4] Univ Osijek, Dept Math, Trg Ljudevita Gaja 6, Osijek 31000, Croatia

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2022年 / 16卷 / 01期

关键词：

Hermite-Hadamard inequality; Higher order convex function; Harmonic sequence; One-point formula;

D O I：

10.2298/AADM201127013B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 omega-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.

引用

页码：232 / 245

页数：14