August 17, 2025FilomatOpen Access

Consecutive optimization of the weighted quadrature formulas with derivative

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Explicit expressions for coefficients are derived, minimizing the norm of the error functional.
The optimization problem leads to a system of linear equations that provide optimal coefficients.
Analytical solutions utilize the Sobolev method to achieve convergence with integral values.
Numerical experiments validate the convergence of the quadrature approximation to actual integral values.

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Implication

This analysis formulates and solves an optimization problem for weighted quadrature formulas, indicating effective coefficient determination and error minimization.

Cite This Study

Samandar Babaev (2025) studied this question.

synapsesocial.com/papers/68a36f8a0a429f7973332633 https://doi.org/10.2298/fil2508805b

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Implication

This analysis formulates and solves an optimization problem for weighted quadrature formulas, indicating effective coefficient determination and error minimization.

Consecutive optimization of the weighted quadrature formulas with derivative

Key Points

Discussion

Implication

Cite This Study

Consecutive optimization of the weighted quadrature formulas with derivative

Key Points

Discussion

Implication

Cite This Study

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Also Consider