CHEBYSHEVITY AND PROXIMITY IN QUOTIENT SPACES

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MAZAHERI HAMID

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

CHEBYSHEVITY AND PROXIMITY IN QUOTIENT SPACES

Author(s)

MAZAHERI HAMID | Issue Writer Certificate

Keywords

BEST APPROXIMATION

ε-PROXIMINALITY

ε-CHEBYSHEVITY

QUOTIENT SPACES

Abstract

WE OBTAIN A SUFFICIENT AND NECESSARY THEOREMS SIMPLE FOR CHEBYSHEVITY OF THE BEST APPROXIMATE SETS IN QUOTIENT SPACES. APPROXIMATION THEORY, WHICH MAINLY CONSISTS OF THEORY OF NEAREST POINTS (BEST APPROXIMATION) AND THEORY OF FARTHEST POINTS (WORST APPROXIMATION), IS AN OLD AND RICH BRANCH OF ANALYSIS. THE THEORY IS AS OLD AS MATHEMATICS ITSELF. THE ANCIENT GREEKS APPROXIMATED THE AREA OF A CLOSED CURVE BY THE AREA OF A POLYGON.

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APA: Copy

MAZAHERI, HAMID. (2015). CHEBYSHEVITY AND PROXIMITY IN QUOTIENT SPACES. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921090/en

Vancouver: Copy

MAZAHERI HAMID. CHEBYSHEVITY AND PROXIMITY IN QUOTIENT SPACES. 2015. Available from: https://sid.ir/paper/921090/en

IEEE: Copy

HAMID MAZAHERI, “CHEBYSHEVITY AND PROXIMITY IN QUOTIENT SPACES,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921090/en

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