Uncovers patterns in the decrease of properties for periodic functions, suggesting uniform behavior across various characteristics.
We find exact orders of decrease of quantities that characterize various properties of 2π -periodic summable functions on a class with given majorant of the second-order modulus of continuity. We show that all these quantities have the same order of decrease (with a single condition on the behavior of the majorant), which is attained on a singe extremal function.
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Ilyasov et al. (2026) studied this question.
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