An improved one point quadrature formula

Nikhil Khanna, J. H. Arredondo, S. K. Kaushik, Leena Kathuria

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Sweldens and Piessens [23] gave the crucial relationship between the first and the second scaling moment in order to derive an effective one-point quadrature formula to reproduce polynomials up to degree 2. Finěk [6] derived quadrature formulas with exactness for polynomials of degree 3 with the use of scaling functions of the Daubechies wavelets. In this paper, some relations between the moments of the scaling function associated with multiresolution analysis are derived and a one point quadrature formula with degree of precision 4 is constructed which helps in the approximation of a function (Formula presented.) in (Formula presented.).

Original languageEnglish
Pages (from-to)123-131
Number of pages9
JournalNumerical Functional Analysis and Optimization
Issue number2
Publication statusPublished - 2021


  • MRA
  • Wavelets
  • moments
  • scaling function

ASJC Scopus subject areas

  • Control and Optimization
  • Analysis
  • Signal Processing
  • Computer Science Applications

Cite this