The discrete fractional Karamata theorem and its applications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU152519" target="_blank" >RIV/00216305:26210/24:PU152519 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.degruyter.com/document/doi/10.1515/ms-2024-0087/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/ms-2024-0087/html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/ms-2024-0087" target="_blank" >10.1515/ms-2024-0087</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The discrete fractional Karamata theorem and its applications

Popis výsledku v původním jazyce

We establish a fractional extension of the discrete Karamata integration theorem for two types of fractional sum operators. This result, along with other properties of regularly varying sequences and the tools such as comparison theorems and a fixed point theorem in FK-space, is then used to study asymptotic properties of solutions to a nonlinear fractional difference equation. We also establish and utilize a fractional extension of the Stolz-Ces & aacute;ro theorem, i.e., of the discrete l'Hospital rule. Both, the discrete fractional Karamata theorem and the discrete fractional l'Hospital rule, are believed to find applications in a broader context within the discrete fractional calculus.

Název v anglickém jazyce

The discrete fractional Karamata theorem and its applications

Popis výsledku anglicky

We establish a fractional extension of the discrete Karamata integration theorem for two types of fractional sum operators. This result, along with other properties of regularly varying sequences and the tools such as comparison theorems and a fixed point theorem in FK-space, is then used to study asymptotic properties of solutions to a nonlinear fractional difference equation. We also establish and utilize a fractional extension of the Stolz-Ces & aacute;ro theorem, i.e., of the discrete l'Hospital rule. Both, the discrete fractional Karamata theorem and the discrete fractional l'Hospital rule, are believed to find applications in a broader context within the discrete fractional calculus.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematica Slovaca

ISSN

0139-9918

e-ISSN

1337-2211

Svazek periodika

74

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

10

Strana od-do

1205-1214

Kód UT WoS článku

001334471700003

EID výsledku v databázi Scopus

2-s2.0-85207252922