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Convex Functions and Generalized Convex Functions
2023Giorgio Giorgi +2 more
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On generalized convex functions and generalized subdifferential II
Optimization Letters, 2021M H Alizadeh Mohammad Hossein Alizadeh
exaly
On Further Inequalities for Convex Functions via Generalized Weighted-Type Fractional Operators
Fractal and Fractional, 2023Gauhar Rahman +2 more
exaly
Generalized Subharmonic and Weakly Convex Functions
Trends in Mathematics, 2022Ana Maria Acu, Ioan Rasa
exaly
Generating starlike and convex univalent functions
In this paper the authors show that when there exist points on the boundary of the unit disc for which the inequalities \[ \text{Re}\left(z\,\frac{f'(z)}{f(z)}\right)>0,\quad \text{Re}\left(1+z\,\frac{f''(z)}{f'(z)}\right) >0 \] reduce to equalities, then the function \(f(z)\) reduces to a polynomial or to an entire function.Bertoni, Vanessa, Dimitrov, Dimitar
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