Article

Optimal Formulas for Calculating Linear Functionals

Kh. M. ShadimetovRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanN. H. MamatovaBukhara State University, 200118, Bukhara, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

The main result of this work are the construction of composite optimal quadrature formulas in the Sobolev space of periodic functions. Here we find the optimal coefficients of the composite quadrature formulas at $$t=0,t=1,t=2$$ for any $$m\geq 1$$ . In addition, the norm of the error functionals of the constructed optimal quadrature formulas are calculated, i.e. the norms of optimal error functionals of composite quadrature formulas in the conjugate Sobolev space of periodic functions are obtained.

Topics

Mathematical functions and polynomials Electromagnetic Scattering and Analysis Matrix Theory and Algorithms

Identifiers

DOI: 10.1134/s1995080224600195

Citations and references

Cited by 1 18 references

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