On Summability, Multipliability, and Integrability

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10333140" target="_blank" >RIV/00216208:11320/16:10333140 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-981-10-0913-6" target="_blank" >http://dx.doi.org/10.1007/978-981-10-0913-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-981-10-0913-6" target="_blank" >10.1007/978-981-10-0913-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Summability, Multipliability, and Integrability

Popis výsledku v původním jazyce

We define and study summability and multipliability of families indexed by well-ordered sets of real numbers. These concepts generalize the classical notions of convergence of infinite series and products. The members of the families are assumed to be elements of general Banach spaces or Banach algebras, but most of our results are new even in the real-valued case. Our studies are also motivated by problems in integration theory of functions of one variable. In particular, we describe the relation between integrability and product integrability on one side, and summability and multipliability on the other side. Applications in the theory of differential equations with impulses and distributional differential equations are presented, and concrete examples are introduced to illustrate the derived theoretical results.

Název v anglickém jazyce

On Summability, Multipliability, and Integrability

Popis výsledku anglicky

We define and study summability and multipliability of families indexed by well-ordered sets of real numbers. These concepts generalize the classical notions of convergence of infinite series and products. The members of the families are assumed to be elements of general Banach spaces or Banach algebras, but most of our results are new even in the real-valued case. Our studies are also motivated by problems in integration theory of functions of one variable. In particular, we describe the relation between integrability and product integrability on one side, and summability and multipliability on the other side. Applications in the theory of differential equations with impulses and distributional differential equations are presented, and concrete examples are introduced to illustrate the derived theoretical results.

Druh

C - Kapitola v odborné knize

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Current Topics in Summability Theory and Applications

ISBN

978-981-10-0912-9

Počet stran výsledku

59

Strana od-do

181-239

Počet stran knihy

431

Název nakladatele

Springer Singapore

Místo vydání

Singapur

Kód UT WoS kapitoly

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