New properties of complex functions with mean value conditions

DOI10.1155/2011/167160zbMath1230.30007OpenAlexW2170755245WikidataQ58654037 ScholiaQ58654037MaRDI QIDQ657100

Juan-Miguel Gracia

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/167160

zbMATH Keywords

mean value theoremmollifiers

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Cites Work

• The mean value theorem and analytic functions of a complex variable
• Parabolic mean values and maximal estimates for gradients of temperatures
• Mean value theorem for continuous vector functions by smooth approximations.
• First-order and second-order optimality conditions for nonsmooth constrained problems via convolution smoothing
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