Measure on time scales with Mathematica

dc.contributor.author Unal Ufuktepe
dc.contributor.author Ahmet Yantir
dc.contributor.author Ufuktepe, Ünal
dc.contributor.author Yantir, Ahmet
dc.date.accessioned 2025-10-06T17:53:21Z
dc.date.issued 2006
dc.description.abstract In this paper we study the Lebesgue Δ-measure on time scales. We refer to [3 4] for the main notions and facts from the general measure and Lebesgue Δ integral theory. The objective of this paper is to show how the main concepts of Mathematica can be applied to fundamentals of Lebesgue Δ- and Lebesgue ∇- measure on an arbitrary time scale and also on a discrete time scale whose rule is given by the reader. As the time scale theory is investigated in two parts by means of σ and ρ operators we named the measures on time scales by the set function DMeasure and NMeasure respectively for arbitrary time scales. © Springer-Verlag Berlin Heidelberg 2006. © 2015 Elsevier B.V. All rights reserved.
dc.description.sponsorship et al., IBM, Intel Corporation, Microsoft Research, SGI, University of Reading
dc.identifier.doi 10.1007/11758501_137
dc.identifier.isbn 9789819698936, 9789819698042, 9789819698110, 9789819698905, 9789819512324, 9783032026019, 9783032008909, 9783031915802, 9789819698141, 9783031984136
dc.identifier.isbn 3540343792
dc.identifier.isbn 9783540343790
dc.identifier.issn 16113349, 03029743
dc.identifier.issn 0302-9743
dc.identifier.scopus 2-s2.0-33746651018
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dc.identifier.uri https://gcris.yasar.edu.tr/handle/123456789/10388
dc.identifier.uri https://doi.org/10.1007/11758501_137
dc.language.iso English
dc.publisher Springer Verlag
dc.relation.ispartof ICCS 2006: 6th International Conference on Computational Science
dc.relation.ispartofseries LECTURE NOTES IN COMPUTER SCIENCE
dc.rights info:eu-repo/semantics/closedAccess
dc.source Lecture Notes in Computer Science
dc.subject Integral Equations, Set Theory, Discrete Time Scale, Lebesgue Δ Integral Theory, Nmeasure, Mathematical Techniques
dc.subject Integral equations, Set theory, Discrete time scale, Lebesgue Δ integral theory, NMeasure, Mathematical techniques
dc.title Measure on time scales with Mathematica
dc.type Conference Object
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gdc.author.id Ufuktepe, Unal/0000-0002-7903-6385
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gdc.author.wosid Yantir, Ahmet/K-3751-2019
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gdc.description.department
gdc.description.departmenttemp Izmir Inst Technol, Izmir, Turkey; Yasar Univ, Izmir, Turkey
gdc.description.endpage 919
gdc.description.publicationcategory Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
gdc.description.startpage 916
gdc.description.volume 3991
gdc.description.woscitationindex Conference Proceedings Citation Index - Science - Science Citation Index Expanded
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gdc.virtual.author Yantir, Ahmet
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person.identifier.scopus-author-id Ufuktepe- Unal (55961498200), Yantir- Ahmet (8943676000)
publicationvolume.volumeNumber 3991 LNCS - I
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