Просмотр по теме "Convex functions"

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Constructing Mixed Algorithms on the Basis of Some Bundle Method

Yarullin R. (2020)

© 2020, Springer Nature Switzerland AG. In the paper, a method is proposed for minimizing a nondifferentiable convex function. This method belongs to a class of bundle methods. In the developed method it is possible to ...
On the Coefficients of Quasiconformality for Convex Functions

Avkhadiev F.; Wirths K. (2010)

Let f be holomorpic and univalent in the unit disc E and f(E) be convex. We consider the conformal radius R = R(D,z) = {pipe;} f′(ζ){pipe;}(1-ζ̄) of D = f(E) at the point z = f(ζ). In [3] and [4] the coefficient kf(r), r ...
The punishing factors for convex pairs are 2n-1

Avkhadiev F.; Wirths K. (2007)

Let Ω and ∏ be two simply connected proper subdomains of the complex plane ℂ. We are concerned with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω),z ∈ Ω, of the ...

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