Zeros of orthogonal polynomials and some matrix inequalities

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Escribano, Carmen, Gonzalo, Raquel
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Functional Analysis
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

A Banach space with $L$-orthogonal sequences but without $L$-orthogonal elements
von: Avilés, Antonio, et al.
Veröffentlicht: (2025)

On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities
von: Lerner, Andrei, et al.
Veröffentlicht: (2023)

Numerical radius inequalities and its applications in estimation of zeros of polynomials
von: Bhunia, Pintu, et al.
Veröffentlicht: (2019)

Norm of the Hilbert matrix operator between some spaces of analytic functions
von: Hu, Hao, et al.
Veröffentlicht: (2024)

On operators preserving inequalities between polynomials
von: Gulzar, S., et al.
Veröffentlicht: (2024)

Some inequalities related to Heinz mean constant with Birkhoff orthogonality
von: Pal, Kallal, et al.
Veröffentlicht: (2025)

Degenerate constants in degree inequalities for Sobolev circle maps: on some problems posed by Brezis
von: Dou, Xu'an, et al.
Veröffentlicht: (2026)

How orthogonality influences geometric constants
von: Wang, Yuxin, et al.
Veröffentlicht: (2025)

The Szász inequality for matrix polynomials and functional calculus
von: Pikul, Piotr, et al.
Veröffentlicht: (2024)

On approximately orthogonality preserving and reversing operators
von: Khurana, Divya
Veröffentlicht: (2024)

A note on time-uniform concentration inequality for matrix products
von: Pham, Tuan, et al.
Veröffentlicht: (2025)

An algebraic characterization of linearity for additive maps preserving orthogonality
von: Li, Lei, et al.
Veröffentlicht: (2025)

On the numerical radius parallelism and the numerical radius Birkhoff orthogonality
von: Bi, Jiaye, et al.
Veröffentlicht: (2024)

On isosceles orthogonality and some geometric constants in a normed space
von: Sain, Debmalya, et al.
Veröffentlicht: (2024)

On the equivalent Zbǎganu constant associated with isosceles orthogonality in Banach spaces
von: Hu, Tingting, et al.
Veröffentlicht: (2025)

Generalized geometric constants related to Birkhoff orthogonality in Banach spaces
von: Qi, Junxiang, et al.
Veröffentlicht: (2026)

State polynomials: positivity, optimization and nonlinear Bell inequalities
von: Klep, Igor, et al.
Veröffentlicht: (2023)

Additive mappings preserving orthogonality between complex inner product spaces
von: Li, Lei, et al.
Veröffentlicht: (2024)

Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions
von: Pal, Sourav, et al.
Veröffentlicht: (2022)

Some relations between Schwarz-Pick inequality and von Neumann's inequality
von: Kojin, Kenta
Veröffentlicht: (2023)

From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality
von: Zhang, Teng
Veröffentlicht: (2024)

Generalized probabilistic approximation characteristic based on Birkhoff orthogonality and related conclusions in $S_{\infty}$-norm
von: Zhang, Weiye, et al.
Veröffentlicht: (2025)

A new class of orthogonal polynomials
von: Kahler, Stefan, et al.
Veröffentlicht: (2026)

On the equivalent p-th von Neumann-Jordan constant associated with isosceles orthogonality in Banach spaces
von: Wang, Yuxin, et al.
Veröffentlicht: (2025)

Sobolev inequalities for canceling operators
von: Breit, Dominic, et al.
Veröffentlicht: (2025)

On polynomially hypo-EP operators
von: Semmami, Rachid, et al.
Veröffentlicht: (2024)

A Variational link between the Olech-Opial inequality, the Wirtinger inequality, and Emden-Fowler equations
von: Pain, Jean-Christophe
Veröffentlicht: (2026)

The infinite-dimensional dissipation inequality
von: Reis, Timo
Veröffentlicht: (2025)

Localized frames without inequalities
von: Balazs, Peter, et al.
Veröffentlicht: (2025)

Quantization on Groups and Garding inequality
von: Benedetto, Lino, et al.
Veröffentlicht: (2023)

Improvement of the discrete Hardy inequality
von: Roychowdhury, Prasun, et al.
Veröffentlicht: (2022)

On a class of Rainville type generating functions for classical orthogonal polynomials
von: Zahaf, Mohammed Brahim, et al.
Veröffentlicht: (2024)

Linear matrix pencils and noncommutative convexity
von: Volčič, Jurij
Veröffentlicht: (2024)

Multilinear matrix weights
von: Kakaroumpas, Spyridon, et al.
Veröffentlicht: (2024)

Capacitary inradius and Poincaré-Sobolev inequalities
von: Bozzola, Francesco, et al.
Veröffentlicht: (2024)

Sobolev inequalities for nonlinear Dirichlet forms
von: Chill, Ralph, et al.
Veröffentlicht: (2026)

Sign-changing solutions of variational inequality
von: Xian, Xu, et al.
Veröffentlicht: (2024)

Positive m-homogeneous polynomial ideals
von: Bounabab, Adel, et al.
Veröffentlicht: (2025)

Lattice isomorphic Banach lattices of polynomials
von: Boyd, Christopher, et al.
Veröffentlicht: (2025)

Some central moments inequalities with applications
von: Verma, Mamta, et al.
Veröffentlicht: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"483cdd3c7beb746b0e55297779baedcc"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790979693.5858 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "483cdd3c7beb746b0e55297779baedcc" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; VUFIND_SESSION=483cdd3c7beb746b0e55297779baedcc; language=de"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"33221"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2503_15131/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2503_15131/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790979693.5815
REQUEST_TIME	1790979693

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler