Max product exponential approximation operators

Attila L. Bencsik, Barnabás Bede, Dan Noje, Hajime Nobuhara, Kaoru Hirota

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Max-product exponential approximation operators are introduced and studied. The results show that the usual addition and multiplication used exclusively in approximation theory can be substituted by operations that are provided by fuzzy logic or pseudo-analysis. Jackson-type error estimates are obtained together with Weierstrass-type approximation theorem. Some numerical results are also presented and the results show the effectiveness of the proposed method with respect to the corresponding classical approximation operators.

Original languageEnglish
Title of host publicationInternational Symposium on Industrial Electronics 2006, ISIE 2006
Pages542-547
Number of pages6
DOIs
Publication statusPublished - 2006
Externally publishedYes
EventInternational Symposium on Industrial Electronics 2006, ISIE 2006 - Montreal, QC, Canada
Duration: 9 Jul 200613 Jul 2006

Publication series

NameIEEE International Symposium on Industrial Electronics
Volume1

Conference

ConferenceInternational Symposium on Industrial Electronics 2006, ISIE 2006
Country/TerritoryCanada
CityMontreal, QC
Period9/07/0613/07/06

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