For periodic functions of one variable in the metric spaces LΨ [0, 2π], we establish an analog of Marchaud’s inequality for multiple modules of continuity.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 12, pp. 1712–1716, December, 2019.
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Pichugov, S.A. Marchaud’s Inequality for Multiple Modules of Continuity in Metric Spaces. Ukr Math J 71, 1959–1964 (2020). https://doi.org/10.1007/s11253-020-01758-1
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DOI: https://doi.org/10.1007/s11253-020-01758-1