Article

On an optimal formula for approximate integration

Kholmat ShadimetovTashkent State Transport University, Temiryo’lchilar street street, 1, Tashkent, 100167, UzbekistanFotima DavlatovaV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, University Street, 9, Tashkent, 100174, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, in the space L 2 ( 2 ) (0, 1) - the space of functions whose second-order generalized derivative is summed with a square on the interval [0, 1], we consider the construction of a weighted optimal lattice quadrature formula with derivatives. We are further finding the extremal function of the error functional of quadrature formulas, constructing optimal quadrature formulas with first-order derivatives, and obtaining analytical expressions for the coefficients of these weighted optimal quadrature formulas with first-order derivatives.

Topics

Advanced Numerical Analysis Techniques Iterative Methods for Nonlinear Equations Mathematical functions and polynomials

Identifiers

DOI: 10.1063/5.0199935

Citations and references

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