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Some properties of integral averages of functions on intervals and their asymptotic behavior are investigated. The results are aimed at applications to entire and subharmonic functions.

Complex Variables · Mathematics 2019-12-20 Bulat N. Khabibullin

A new category of topological spaces with additional structures, called m-towers, is introduced. It is shown that there is a covariant functor which establishes a one-to-one correspondences between unital (resp. arbitrary) subhomogeneous…

Operator Algebras · Mathematics 2013-10-22 Piotr Niemiec

Compactifications of heterotic M-theory are shown to provide solutions to the weak- and axion-scale hierarchy problems as a consequence of warped large extra dimensions. They allow a description that is reminiscent of the so-called…

High Energy Physics - Theory · Physics 2019-02-12 Sang Hui Im , Hans Peter Nilles , Marek Olechowski

In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite points case, and we obtain some sufficient and necessary…

Complex Variables · Mathematics 2025-06-02 Qi'an Guan , Xun Sun , Zheng Yuan

We consider Dirichlet spaces with superharmonic weights. This class contains both the harmonic weights and the power weights. Our main result is a characterization of the Dirichlet spaces with superharmonic weights that can be identified as…

Complex Variables · Mathematics 2015-10-29 Omar El-Fallah , Karim Kellay , Hubert Klaja , Javad Mashreghi , Thomas Ransford

Orders and types of entire and meromorphic functions have been actively investigated by many authors. In the present paper, we aim at investigating some basic properties in connection with sum and product of relative $(p,q)$-$\varphi$…

Complex Variables · Mathematics 2019-05-16 Tanmay Biswas

We study algorithmic randomness notions via effective versions of almost-everywhere theorems from analysis and ergodic theory. The effectivization is in terms of objects described by a computably enumerable set, such as lower semicomputable…

Logic · Mathematics 2016-03-22 Kenshi Miyabe , André Nies , Jing Zhang

In this paper we investigate properties of the family of weight functions and especiallyin the "weight function" model. We etablish in theintroduced algebra topological sharp structures analogous tothe ones introduced in Colombeau algebra.

Functional Analysis · Mathematics 2025-06-23 Anatole Khelif , Dimitris Scarpalezos

In this paper, we first introduce the new class of multiple weights $A^\vc_{\vec{p}}$ which is larger than the class of multiple weights in \cite{LOPTG}. Then, using this class of weights, we study the weighted norm inequalities for certain…

Functional Analysis · Mathematics 2012-03-23 The Anh Bui

In recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We also introduce the concept of harmonically convex functions on the co-ordinates. Also, we establish…

Classical Analysis and ODEs · Mathematics 2014-04-28 Erhan Set , Imdat Iscan

In this paper we propose an algebraic formalization of connectors in the quantitative setting, in order to address their non-functional features in architectures of component-based systems. We firstly present a weighted Algebra of…

Logic in Computer Science · Computer Science 2022-09-22 Christina Chrysovalanti Fountoukidou , Maria Pittou

We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a horizontal strip. We also prove that Fourier coefficients of…

Complex Variables · Mathematics 2007-05-23 S. Favorov , A. Rakhnin

We characterize the full classes of M-estimators for semiparametric models of general functionals by formally connecting the theory of consistent loss functions from forecast evaluation with the theory of M-estimation. This novel…

Statistics Theory · Mathematics 2023-05-10 Timo Dimitriadis , Tobias Fissler , Johanna Ziegel

In this paper, using the theory of category, we generalize known properties of symmetric polynomials and functions and characterize the multi-indicial symmetric functions. Examples have been given on Schur functions.

Combinatorics · Mathematics 2009-06-09 Joseph Ben Geloun , Mahouton Norbert Hounkonnou

In this paper, we introduce a subclass of close-to-convex functions defined in the open unit disk. We obtain the inclusion relationships, coefficient estimates and Fekete-Szego inequality. The results presented here would provide extension…

Complex Variables · Mathematics 2016-06-02 Yao Liang Chung , See Keong Lee , Maisarah Haji Mohd

In this paper we extend some previous results on weak pseudo-bosons and on their related bi-coherent states. The role of {\em compatible} functions is discussed in details, and some examples are considered. The pseudo-bosonic ladder…

Mathematical Physics · Physics 2022-07-18 Fabio Bagarello

In this paper, we define \varphi_{h,m}-convex functions and prove some inequalities for this class.

Functional Analysis · Mathematics 2012-05-23 M. E. Özdemir , M. Avci

We extend some results of M.G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new versions of de Branges' Ordering Theorem for nearly…

Complex Variables · Mathematics 2018-04-03 Evgeny Abakumov , Anton Baranov , Yurii Belov

We introduce a generalization of symmetric functions and apply the resulting theory to compute the class in the Grothendieck ring of varieties of the space of geometrically irreducible hypersurfaces of a fixed degree in projective space.

Algebraic Geometry · Mathematics 2024-11-27 Asvin G , Andrew O'Desky

This paper deals with functions that defined in metric spaces and valued in complete paranormed vector spaces or valued in Banach spaces, and obtains some necessary and sufficient conditions for weak convergence of finite measures.

Probability · Mathematics 2024-05-03 Renying Zeng
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