Function spaces underpin the analysis of partial differential equations and operator theory. Over recent decades, the classical Sobolev spaces have been generalised into broader frameworks, including ...
In the present paper, optimal quadrature formulas in the sense of Sard are constructed fornumerical integration of the integral ∫ a b e 2πiωx φ( x )dx with ω ∈ ℝ in the Sobolev space L 2 ( m ) [ a,b ] ...
Elliptic differential equations constitute a fundamental class of partial differential equations that arise in the modelling of steady-state phenomena in physics, engineering, and beyond. Their study ...
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