ESTIMATES ON SOME QUADRATURE RULES VIA WEIGHTED HERMITE-HADAMARD INEQUALITY

Applicable Analysis and Discrete Mathematics

article

Josipa Barić¹  Ljiljanka Kvesić²  Josip Pečarić³  Mihaela Ribičić Penava⁴ 

[1] Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split;Faculty of Science and Education, University of Mostar;Croatian Academy of Sciences and Arts;Department of Mathematics, University of Osijek

关键词: Hermite-Hadamard inequality;    Higher order convex function;    Harmonic sequence;    One-point formula.;   

DOI  :  10.2298/AADM201127013B

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this article new estimates on some quadrature rules are given usingweighted Hermite-Hadamard inequality for higher order convex functions andweighted version of the integral identity expressed by w-harmonic sequencesof functions. Obtained results are applied to weighted one-point formula fornumerical integration in order to derive new estimates of the definite integralvalues.

【 授权许可】

Unknown