Research on Optimal Quadrature Problems in the W2(9,0) Space

In this paper, we derive an explicit expression for the coefficients of optimal quadrature formulas that are exact for exponential trigonometric functions in the W2(9,0) space. The optimal quadrature formulas are constructed based on Sard’s sense for Sobolev’s method.

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Publication Details

Journal
Axioms
Published
2026-07-22
DOI
https://doi.org/10.3390/axioms15070550
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

Research on Optimal Quadrature Problems in the W2(9,0) Space

Ying Yang, Xuehua Li
Axioms
Mathematical functions and polynomials
article

Research on Optimal Quadrature Problems in the W2(9,0) Space

Ying Yang, Xuehua Li
article en

Abstract

In this paper, we derive an explicit expression for the coefficients of optimal quadrature formulas that are exact for exponential trigonometric functions in the W2(9,0) space. The optimal quadrature formulas are constructed based on Sard’s sense for Sobolev’s method.

AxiomsVol. 15(7)
North China University of Technology (CN)
Openalex Percentile: Top 4%
Mathematical functions and polynomials
DOIOpen Access PDFOpenAlex
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Research on Optimal Quadrature Problems in the W2(9,0) Space — Ying Yang, Xuehua Li · Axioms (2026) | TGRS Research Map | TGRS