On some Properties of the Rising Sun Function
rising sun function, semi-continuity, darboux continuity, lower (upper) semicontinuity, lower (upper) semi-quasicontinuity, symmetric continuity, cliq
Abstract
This paper studies a few interesting properties of the rising sun function of a bounded real function defined on a closed and bounded interval on the real line. An operator on the space of all bounded real functions defined on a closed and bounded interval is introduced and its properties are investigated.
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References
A. Bruckner (1978) Differentiation of Real functions.
E. Kreyszig (1978) Introductory Functional Analysis with Applications.
F. Riesz, B. Sz, Nagy (1995) Functional Analysis.
V. Srinivasa kumar (2012) Srinivasa kumar, V. On Lower and Upper Semi-Quasicontinuous, Functions, International Journal of Mathematical Archive. (6), 2249-2257.
V. Srinivasa kumar On Some Properties of Cliquish Functions.
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2014-04-29
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