Real Analysis Exchange

On local characterization of the strong Światkowski property for a function f:[a,b]→ℝ.

Joanna Kucner and Ryszard J. Pawlak

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Abstract

In this paper we introduce the idea of a function having the strong \'Swi\c{a}tkowski property at a point. The main result of this work is proving that the class of functions which have the %``locally" strong \'Swi\c{a}tkowski property at each point, is equal to the class of all strong \'Swi\c{a}tkowski functions.

Article information

Source
Real Anal. Exchange, Volume 28, Number 2 (2002), 563-572.

Dates
First available in Project Euclid: 20 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.rae/1184963817

Mathematical Reviews number (MathSciNet)
MR2010337

Zentralblatt MATH identifier
1048.26004

Subjects
Primary: 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27}

Keywords
strong \'Swi\c{a}tkowski property; local characterization; quasi-continuity

Citation

Kucner, Joanna; Pawlak, Ryszard J. On local characterization of the strong Światkowski property for a function f :[ a , b ]→ℝ. Real Anal. Exchange 28 (2002), no. 2, 563--572. https://projecteuclid.org/euclid.rae/1184963817


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