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Note on generalized convex functions
Journal of Optimization Theory and Applications, 1990An important class of generalized convex functions, called invex functions, is defined under a general framework, and some properties of the functions in this class are derived. It is also shown that a function is (generalized) pseudoconvex if and only if it is quasiconvex and invex.
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On generalized convex functions and generalized subdifferential II
Optimization Letters, 2021M H Alizadeh Mohammad Hossein Alizadeh
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On Further Inequalities for Convex Functions via Generalized Weighted-Type Fractional Operators
Fractal and Fractional, 2023Gauhar Rahman +2 more
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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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Generalized Subharmonic and Weakly Convex Functions
Trends in Mathematics, 2022Ana Maria Acu, Ioan Rasa, Rasa Ioan
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