The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas

Abstract The discrete analog of the differential operator plays a significant role in constructing interpolation, quadrature, and cubature formulas. In this work, we consider a discrete analog D m ( h β ) $D_{m}(h\beta )$ of the differential operator d 2 m d x 2 m + 1 $\frac{d^{2m}}{dx^{2m}}+1$ desi...

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Bibliographic Details
Main Authors: K. M. Shadimetov, J. R. Davronov
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-024-03111-7