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Majorization formulas for functions in \(C^{m,\lambda}_{\mathrm {loc}}(\Omega), C^{m,\lambda}(\Omega),\; \mathrm{and}\;C^{m}(\Omega)\)

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Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}

Part of the book series: Frontiers in Mathematics ((FM))

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Abstract

In Section 5.1 we will prove some lemmas containing inequalities of general validity which will be useful in the sequel, but they are also of independent interest. These inequalities appear also in [43].

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Fiorenza, R. (2016). Majorization formulas for functions in \(C^{m,\lambda}_{\mathrm {loc}}(\Omega), C^{m,\lambda}(\Omega),\; \mathrm{and}\;C^{m}(\Omega)\) . In: Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-47940-8_5

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