Calculation of Coefficients of the Optimal Quadrature Formulas in W2(7,0) Space

In this paper, we construct an optimal quadrature formula in the sense of Sard by Sobolev’s method in the W2(7,0) space. We give explicit expressions for the corresponding optimal coefficients. This formula is exact for exponentional–trigonometric functions.

Authors

Institutions

Publication Details

Journal
Axioms
Published
2025-03-17
DOI
https://doi.org/10.3390/axioms14030220
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Calculation of Coefficients of the Optimal Quadrature Formulas in W2(7,0) Space

Xuehua Li, Ying Yang
Axioms
Advanced Numerical Analysis Techniques
article

Calculation of Coefficients of the Optimal Quadrature Formulas in W2(7,0) Space

Xuehua Li, Ying Yang
article en

Abstract

In this paper, we construct an optimal quadrature formula in the sense of Sard by Sobolev’s method in the W2(7,0) space. We give explicit expressions for the corresponding optimal coefficients. This formula is exact for exponentional–trigonometric functions.

AxiomsVol. 14(3)
North China University of Technology (CN)
Openalex Percentile: Top 94%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Calculation of Coefficients of the Optimal Quadrature Formulas in W2(7,0) Space — Xuehua Li, Ying Yang · Axioms (2025) | TGRS Research Map | TGRS