On Extreme Points of Families of Analytic Functions with Values in a Convex Set.
Julian Gevirtz (1986)
Mathematische Zeitschrift
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Julian Gevirtz (1986)
Mathematische Zeitschrift
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Achim Clausing (1978)
Mathematische Zeitschrift
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Ky Fan (1957/58)
Mathematische Zeitschrift
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Javier Martínez-Maurica, C. Pérez García (1986)
Extracta Mathematicae
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L. L. Veselý, L. Zajíček
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We investigate delta-convex mappings between normed linear spaces. They provide a generalization of functions which are representable as a difference of two convex functions (labelled as 5-convex or d.c. functions) and are considered in many articles. We show that delta-convex mappings have many good differentiability properties of convex functions and the class of them is very stable. For example, the class of locally delta-convex mappings is closed under superpositions and (in some...
Qiu, Jing Hui, McKennon, Kelly (1994)
International Journal of Mathematics and Mathematical Sciences
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Marek Lassak (1985)
Compositio Mathematica
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Seldon Y. Trimble (1969)
Mathematische Zeitschrift
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W. Grabowski (1974)
Applicationes Mathematicae
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P. Ganapathi (1934)
Mathematische Zeitschrift
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Hidetaka Hamada, Gabriela Kohr (2002)
Annales Polonici Mathematici
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We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.
N.T. Peck, N.J. Kaiton (1980)
Mathematische Annalen
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Swadesh Kumar Sahoo, Navneet Lal Sharma (2015)
Annales Polonici Mathematici
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The paper of M. Ismail et al. [Complex Variables Theory Appl. 14 (1990), 77-84] motivates the study of a generalization of close-to-convex functions by means of a q-analog of the difference operator acting on analytic functions in the unit disk 𝔻 = {z ∈ ℂ:|z| < 1}. We use the term q-close-to-convex functions for the q-analog of close-to-convex functions. We obtain conditions on the coefficients of power series of functions analytic in the unit disk which ensure that they generate...
Juan Jorge Schäffer (1970)
Mathematische Zeitschrift
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Walter Pranger (1973)
Mathematische Annalen
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