Max product exponential approximation operators

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

doi:10.1109/ISIE.2006.295516

Max product exponential approximation operators

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	International Symposium on Industrial Electronics 2006, ISIE 2006
Pages	542-547
Number of pages	6
DOIs	https://doi.org/10.1109/ISIE.2006.295516
Publication status	Published - 2006
Externally published	Yes
Event	International Symposium on Industrial Electronics 2006, ISIE 2006 - Montreal, QC, Canada Duration: 9 Jul 2006 → 13 Jul 2006

Publication series

Name	IEEE International Symposium on Industrial Electronics
Volume	1

Conference

Conference	International Symposium on Industrial Electronics 2006, ISIE 2006
Country/Territory	Canada
City	Montreal, QC
Period	9/07/06 → 13/07/06

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10.1109/ISIE.2006.295516

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Bencsik, A. L., Bede, B., Noje, D., Nobuhara, H., & Hirota, K. (2006). Max product exponential approximation operators. In International Symposium on Industrial Electronics 2006, ISIE 2006 (pp. 542-547). Article 4077985 (IEEE International Symposium on Industrial Electronics; Vol. 1). https://doi.org/10.1109/ISIE.2006.295516

@inproceedings{3f251b6eabcf4b5db021a68e53155efd,

title = "Max product exponential approximation operators",

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.",

author = "Bencsik, {Attila L.} and Barnab{\'a}s Bede and Dan Noje and Hajime Nobuhara and Kaoru Hirota",

year = "2006",

doi = "10.1109/ISIE.2006.295516",

language = "English",

isbn = "1424404975",

series = "IEEE International Symposium on Industrial Electronics",

pages = "542--547",

booktitle = "International Symposium on Industrial Electronics 2006, ISIE 2006",

note = "International Symposium on Industrial Electronics 2006, ISIE 2006 ; Conference date: 09-07-2006 Through 13-07-2006",

}

Bencsik, AL, Bede, B, Noje, D, Nobuhara, H & Hirota, K 2006, Max product exponential approximation operators. in International Symposium on Industrial Electronics 2006, ISIE 2006., 4077985, IEEE International Symposium on Industrial Electronics, vol. 1, pp. 542-547, International Symposium on Industrial Electronics 2006, ISIE 2006, Montreal, QC, Canada, 9/07/06. https://doi.org/10.1109/ISIE.2006.295516

TY - GEN

T1 - Max product exponential approximation operators

AU - Bencsik, Attila L.

AU - Bede, Barnabás

AU - Noje, Dan

AU - Nobuhara, Hajime

AU - Hirota, Kaoru

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=53649105259&partnerID=8YFLogxK

U2 - 10.1109/ISIE.2006.295516

DO - 10.1109/ISIE.2006.295516

M3 - Conference contribution

AN - SCOPUS:53649105259

SN - 1424404975

SN - 9781424404971

T3 - IEEE International Symposium on Industrial Electronics

SP - 542

EP - 547

BT - International Symposium on Industrial Electronics 2006, ISIE 2006

T2 - International Symposium on Industrial Electronics 2006, ISIE 2006

Y2 - 9 July 2006 through 13 July 2006

ER -

Max product exponential approximation operators

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