On the -uniformly close to convex functions with respect to a convex domain.
Blezu, Dorin (2001)
General Mathematics
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Blezu, Dorin (2001)
General Mathematics
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A. W. Goodman (1991)
Annales Polonici Mathematici
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We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.
Darus, Maslina (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Acu, Mugur (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Oros, Georgia Irina (2005)
General Mathematics
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Singh, Ram, Singh, Sukhjit (2000)
International Journal of Mathematics and Mathematical Sciences
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Breaz, Daniel, Breaz, Nicoleta (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Oros, Georgia Irina (2005)
General Mathematics
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Acu, Mugur, Al-Oboudi, Fatima, Darus, Maslina, Owa, Shigeyoshi, Polatog̃lu, Yaşar, Yavuz, Emel (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Martini, Horst, Wenzel, Walter (2003)
Beiträge zur Algebra und Geometrie
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Acu, Mugur (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Oros, Georgia Irina (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Jolanta Plewnia (1993)
Annales Polonici Mathematici
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If C is a non-empty convex subset of a real linear space E, p: E → ℝ is a sublinear function and f:C → ℝ is concave and such that f ≤ p on C, then there exists a linear function g:E → ℝ such that g ≤ p on E and f ≤ g on C. In this result of Hirano, Komiya and Takahashi we replace the sublinearity of p by convexity.
Wang, Zhigang, Gao, Chunyi, Yuan, Shaomou (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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