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A Generalized Theory of Convexity
Proceedings of the London Mathematical Society, 1967openaire +1 more source
1978
I consider four generalizations of the concept of a convex set in Rd. A subset X of R belongs to the family T(a) if for all x, y e X ax + (1 -a)y e X where a e R. Properties of elements of T(a) are considered in Chapter 1.Also in Chapter 1 a planar generalization of the family T(a) is considered.
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I consider four generalizations of the concept of a convex set in Rd. A subset X of R belongs to the family T(a) if for all x, y e X ax + (1 -a)y e X where a e R. Properties of elements of T(a) are considered in Chapter 1.Also in Chapter 1 a planar generalization of the family T(a) is considered.
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Convex Functions and Generalized Convex Functions
2023Giorgio Giorgi +2 more
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Monotonicity, Convexity and Inequalities Involving the Generalized Elliptic Integrals
Acta Mathematica Scientia, 2019Wen Zhang, Yu-Ming Chu
exaly
Characterizations of generalized convexities via generalized directional derivatives
Numerical Functional Analysis and Optimization, 1998Jean-Paul Penot, Pham Huu Sach
exaly
Generalized convexities and generalized gradients based on algebraic operations
Journal of Mathematical Analysis and Applications, 2006Panos M Pardalos +2 more
exaly
Generalized monotonicity and convexity of non-differentiable functions
Journal of Mathematical Analysis and Applications, 2003Sanyang Liu, Liya Fan
exaly

