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On the Integral Quasicontinuity
-
Z. Grande
Veröffentlicht/Copyright:
9. Juni 2010
Abstract
A function 
satisfies the condition QI(x) (resp. 
, 
) at a point 
if for each real ε > 0 and for each set U ∋ x belonging to Euclidean topology in 
(resp. to the strong density topology [to the ordinary density topology]) there is an open set O such that O ∩ U ≠ ∅ and
These notions are some analogies of the quasicontinuity or the approximate quasicontinuity. In this article we compare these notions with the classical notion of the quasicontinuity.
Received: 2004-10-12
Revised: 2005-10-04
Published Online: 2010-06-09
Published in Print: 2006-December
© Heldermann Verlag
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Artikel in diesem Heft
- and Ultrafilters on ℚ and ω
- Remarks on Best Approximations in Generalized Convex Spaces
- A Note on P-Times and Time Projections
- The Apollonian Metric: The Comparison Property, Bilipschitz Mappings and Thick Sets
- On the Integral Quasicontinuity
- On Completeness of Random Transition Count for Markov Chains
- Notes on Uniqueness of Meromorphic Functions
- Strong and Weak Convergence of Implicit Iterative Process with Errors for Asymptotically Nonexpansive Mappings
- On Measurable Sierpiński-Zygmund Functions
- Extension Theorem for a Functional Equation
Artikel in diesem Heft
- and Ultrafilters on ℚ and ω
- Remarks on Best Approximations in Generalized Convex Spaces
- A Note on P-Times and Time Projections
- The Apollonian Metric: The Comparison Property, Bilipschitz Mappings and Thick Sets
- On the Integral Quasicontinuity
- On Completeness of Random Transition Count for Markov Chains
- Notes on Uniqueness of Meromorphic Functions
- Strong and Weak Convergence of Implicit Iterative Process with Errors for Asymptotically Nonexpansive Mappings
- On Measurable Sierpiński-Zygmund Functions
- Extension Theorem for a Functional Equation
