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Extremal functions for Trudinger–Moser inequalities with nonnegative weights [PDF]

Journal of Inequalities and Applications, 2018
Using blow-up analysis, the author proves the existence of extremal functions for Trudinger–Moser inequalities with nonnegative weights on bounded Euclidean domains or compact Riemannian surfaces. This extends recent results of Yang (J. Differ. Equ.
Songbo Hou
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On the Realization of Exact Upper Bounds of the Best Approximations on the Classes H^1,1 by Favard Sums

Axioms, 2023
In this paper, we find the sets of all extremal functions for approximations of the Hölder classes of H1 2π-periodic functions of one variable by the Favard sums, which coincide with the set of all extremal functions realizing the exact upper bounds of ...
Dmytro Bushev, Inna Kal’chuk
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Asymptotic Properties of the Extremal Quotient [PDF]

The Egyptian Statistical Journal, 1992
In this work the class of possible nondegenerate limit distribution functions (d.f.'s) of the extremal quotient is investigated. It 1s also shown that the midrange may be used Instead of the extremal quotient for large sample size for the derivation of ...
H. M. Barakat, E. M. Nigm
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Pole-skipping in rotating BTZ black holes

Journal of High Energy Physics, 2023
Motivated by the connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators, we study the pole-skipping phenomena for rotating BTZ black holes.
Hyun-Sik Jeong, Chang-Woo Ji, Keun-Young Kim   +2 more
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Extremal p-Adic L-Functions

Mathematics, 2021
In this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is amenable to generalizations to ...
Santiago Molina
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Optimal recovery of derivatives of Hardy class functions [PDF]

E3S Web of Conferences, 2019
The paper considers the best linear method for approximating the values of derivatives of Hardy class functions in the unit circle at zero according to the information about the values of functions at a finite number of points z1,...,zn that form a ...
Ovchintsev Mikhail
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A New Dependence Condition for Time Series and the Extremal Index of Higher-Order Markov Chains

Revstat Statistical Journal, 2006
We present a new dependence condition for time series and extend the extremal types theorem. The dependence structure of a stationary sequence is described by a sequence of extremal functions.
Helena Ferreira
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Extremal problems related to convexity

Journal of Inequalities and Applications, 2016
We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition ψ on a product of the unit ball with itself, with the ℓ p $\ell^{p}$ -norm. In 1986, Burkholder explicitly found the
Aimo Hinkkanen, Sineenuch Suwannaphichat
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Search Optimization Opportunities of Modified Self-Organizing Migrating Algorithm in Multi-Extremal Tasks Environment

Journal of Advanced Engineering and Computation, 2017
The paper studies the search optimization task of multi-extremal objects, which are more complicated than mono-extremal. Paper postulates that to find extreme suitable values on complex test function the heuristic algorithm is one way.
Ivan Chernogorov, Victor Polyakh, Orkhan Yarakhmedov   +2 more
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Holography for people with no time

SciPost Physics, 2023
We study the gravitational description of extremal supersymmetric black holes. We point out that the $AdS_2$ near horizon geometry can be used to compute interesting observables, such as correlation functions of operators.
Henry W. Lin, Juan Maldacena, Liza Rozenberg, Jieru Shan
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