Matches in SemOpenAlex for { <https://semopenalex.org/work/W2009553944> ?p ?o ?g. }
Showing items 1 to 53 of
53
with 100 items per page.
- W2009553944 endingPage "4" @default.
- W2009553944 startingPage "1" @default.
- W2009553944 abstract "We deal with the stability of the exponential Cauchy functional equation<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>F</mml:mi><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mrow><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi></mml:mrow><mml:mo stretchy=false>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>F</mml:mi><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow><mml:mi>F</mml:mi><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>in the class of functions<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mi>F</mml:mi><mml:mo>:</mml:mo><mml:mi>G</mml:mi><mml:mo>→</mml:mo><mml:mi>L</mml:mi></mml:math>mapping a group (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>, +) into a Riesz algebra<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:math>. The main aim of this paper is to prove that the exponential Cauchy functional equation is stable in the sense of Hyers-Ulam and is not superstable in the sense of Baker. To prove the stability we use the Yosida Spectral Representation Theorem." @default.
- W2009553944 created "2016-06-24" @default.
- W2009553944 creator A5025017016 @default.
- W2009553944 date "2014-01-01" @default.
- W2009553944 modified "2023-09-28" @default.
- W2009553944 title "Stability of the Exponential Functional Equation in Riesz Algebras" @default.
- W2009553944 cites W1501797494 @default.
- W2009553944 cites W1980306557 @default.
- W2009553944 cites W1981722970 @default.
- W2009553944 cites W1996694825 @default.
- W2009553944 cites W2011591412 @default.
- W2009553944 cites W2052843136 @default.
- W2009553944 cites W2122765616 @default.
- W2009553944 cites W4231759532 @default.
- W2009553944 cites W4248217835 @default.
- W2009553944 cites W4255808826 @default.
- W2009553944 doi "https://doi.org/10.1155/2014/848540" @default.
- W2009553944 hasPublicationYear "2014" @default.
- W2009553944 type Work @default.
- W2009553944 sameAs 2009553944 @default.
- W2009553944 citedByCount "1" @default.
- W2009553944 countsByYear W20095539442014 @default.
- W2009553944 crossrefType "journal-article" @default.
- W2009553944 hasAuthorship W2009553944A5025017016 @default.
- W2009553944 hasBestOaLocation W20095539441 @default.
- W2009553944 hasConcept C11413529 @default.
- W2009553944 hasConcept C154945302 @default.
- W2009553944 hasConcept C41008148 @default.
- W2009553944 hasConceptScore W2009553944C11413529 @default.
- W2009553944 hasConceptScore W2009553944C154945302 @default.
- W2009553944 hasConceptScore W2009553944C41008148 @default.
- W2009553944 hasLocation W20095539441 @default.
- W2009553944 hasLocation W20095539442 @default.
- W2009553944 hasLocation W20095539443 @default.
- W2009553944 hasOpenAccess W2009553944 @default.
- W2009553944 hasPrimaryLocation W20095539441 @default.
- W2009553944 hasRelatedWork W2051487156 @default.
- W2009553944 hasRelatedWork W2052122378 @default.
- W2009553944 hasRelatedWork W2053286651 @default.
- W2009553944 hasRelatedWork W2073681303 @default.
- W2009553944 hasRelatedWork W2317200988 @default.
- W2009553944 hasRelatedWork W2544423928 @default.
- W2009553944 hasRelatedWork W2947381795 @default.
- W2009553944 hasRelatedWork W2181413294 @default.
- W2009553944 hasRelatedWork W2181743346 @default.
- W2009553944 hasRelatedWork W2187401768 @default.
- W2009553944 hasVolume "2014" @default.
- W2009553944 isParatext "false" @default.
- W2009553944 isRetracted "false" @default.
- W2009553944 magId "2009553944" @default.
- W2009553944 workType "article" @default.