Generalized fraction rules for monotonicity with higher antiderivatives and derivatives

DOI10.1007/s10958-024-06970-zMaRDI QIDQ6579985

Dan Ştefan Marinescu, Nikolaos Gialelis, Vasiliki Bitsouni

Publication date: 29 July 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Taylor polynomialhigh-order derivativeGromov's theoremTaylor remainderCauchy formula of repeated integrationfraction rules for monotonicityhigh-order antiderivativehigh-order meanL'Hôpital's rule for monotonicity

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) One-variable calculus (26A06)

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