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This research addresses the maximum integral values for a positive definite function using power weights.

Siegel-Szasz extremal problem for a power weight

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Randomized trial explores maximal integral values with power weight in radial measures, highlighting analytical methods.

This research addresses the maximum integral values for a positive definite function using power weights.
Presented a general method for solving the multidimensional Siegel-Szász problem.
Reduced the problem to one-dimensional analysis on the real line using spectral analysis.
Discussed connections to quadrature formulae and duality theory.
Identified a solution method based on the Dunkl integral convolution operator.
Established links between the problem and existing theoretical frameworks.

Горбачев et al. (2026) studied this question.

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