Preprint

Optimal Quadrature Formulas in the Sense of Sard in $W_2^{(m,m-1)}$ Space

Kh. M. ShadimetovInstitute of Mathematics , National University of Uzbekistan , Tashkent , UzbekistanA.R. HayotovInstitute of Mathematics , National University of Uzbekistan , Tashkent , Uzbekistan

arXiv (Cornell University)repository2010en

ABI

Abstract

In this paper in $W_2^{(m,m-1)}(0,1)$ space the problem of construction of optimal quadrature formula in the sense of Sard is considered and using S.L. Sobolev's method it is obtained new optimal quadrature formula of such type. For the optimal coefficients explicit formulas are obtained. Furthermore, the numerical results which confirm the theoretical results of this work is given.

Topics

Iterative Methods for Nonlinear Equations Mathematical functions and polynomials Fractional Differential Equations Solutions

Identifiers

DOI: 10.48550/arxiv.1010.5172

Citations and references

Cited by 012 references

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