Positivity
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Sắp xếp:
Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces
Positivity - Tập 17 - Trang 1021-1041 - 2013
In this paper, we introduce the concept of a $$w^{*}$$ -compatible mappings to
obtain coupled coincidence point and coupled common fixed points of nonlinear
contractive mappings in partially ordered metric spaces. Our results generalize,
extend, unify, enrich and complement various comparable results in the existing
literature....
On the Riemann-Hilbert factorization problem for positive definite functions
Positivity - Tập 20 - Trang 743-754 - 2015
We give several general theorems concerning positive definite solutions of
Riemann-Hilbert problems on the real line. Furthermore, as an example, we apply
our theory to the characteristic function of a class of Lévy processes and we
find the distribution of their extrema at a given stopping time.
Về các điều kiện tối ưu và định lý đối ngẫu cho các nghiệm xấp xỉ của vấn đề tối ưu hóa vô hạn không trơn Dịch bởi AI
Positivity - - 2023
Trong bài báo này, chúng tôi đề cập đến các nghiệm tối ưu gần đúng $$\varepsilon
$$ cho một vấn đề tối ưu hóa vô hạn không trơn xét theo khái niệm phụ vi phân
Mordukhovich/giới hạn. Các kết quả đạt được cải thiện hoặc bao gồm một số kết
quả gần đây đã biết. Một số ví dụ minh họa cũng được cung cấp.
#Tối ưu hóa vô hạn #Phụ vi phân Mordukhovich #Nghiệm xấp xỉ #Điều kiện tối ưu #Định lý đối ngẫu
Function spaces arising from kernel operators
Positivity - Tập 14 - Trang 637-653 - 2010
Given a probability space (Ω, μ) and a rearrangement invariant space X on [0,1],
in certain situations inequalities for spaces of $${\mathbb {R}}$$ -valued
functions on Ω are equivalent to the boundedness of an associated operator T K :
L ∞ ([0, 1]) → X generated by a kernel K ≥ 0 on the unit square (e.g. Sobolev
type inequalities or Riesz potentials on subsets $${\Omega \subset \mathbb
{R}^n}$$ )...
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind
Positivity - Tập 23 - Trang 727-757 - 2018
In the present paper, we will characterize the boundedness of the generalized
fractional integral operators $$I_{\rho }$$ and the generalized fractional
maximal operators $$M_{\rho }$$ on Orlicz spaces, respectively. Moreover, we
will give a characterization for the Spanne-type boundedness and the Adams-type
boundedness of the operators $$M_{\rho }$$ and $$I_{\rho }$$ on generalized
Orlicz–Morrey ...
A variational formula on the Cramér function of series of independent random variables
Positivity - Tập 21 - Trang 273-282 - 2016
In (Zajkowski, Positivity 19:529–537, 2015) it has been proved some variational
formula on the Legendre–Fenchel transform of the cumulant generating function
(the Cramér function) of Rademacher series with coefficients in the space $$\ell
^1$$ . In this paper we show a generalization of this formula to series of a
larger class of any independent random variables with coefficients that belong
to th...
On a tensor-analogue of the Schur product
Positivity - Tập 20 - Trang 621-624 - 2015
We consider the tensorial Schur product $$R \circ ^\otimes S = [r_{ij} \otimes
s_{ij}]$$ for $$R \in M_n(\mathcal {A}), S\in M_n(\mathcal {B}),$$ with
$$\mathcal {A}, \mathcal {B}~\text{ unital }~ C^*$$ -algebras, verify that such
a ‘tensorial Schur product’ of positive operators is again positive, and then
use this fact to prove (an apparently marginally more general version of) the
classical res...
Domains of Holomorphy of Generating Functions of Pólya Frequency Sequences of Finite Order*
Positivity - Tập 8 - Trang 89-100 - 2004
A domain $$G \subset \bar {\mathbb{C}}$$ is the domain of holomorphy of the
generating function of a Pólya frequency sequence of order r if and only if it
satisfies the following conditions: (A) G contains the point z = 0, (B) G is
symmetric with respect to the real axis, (C) T = dist(0,∂G)ε∂G.
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