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pro vyhledávání: '"Daniell integral"'
Akademický článek
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Conference
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Autor:
Alina Gavriluţ, Alina Iosif
Publikováno v:
Fuzzy Sets and Systems. 355:26-41
In this paper, a new type of integral of a fuzzy-valued function relative to a non-negative set function is proposed as a new useful tool in modeling uncertainties. Various properties of this new type of integral are established concerning the behavi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a982c57187ea844991715c8495b4a2c
https://doi.org/10.1016/j.fss.2017.08.003
https://doi.org/10.1016/j.fss.2017.08.003
Autor:
J. J. Grobler
Publikováno v:
Trends in Mathematics ISBN: 9783030709730
We show that the paper in which P.J. Daniell introduced his well-known integral, used modern Riesz space techniques to derive the properties of the integral and to prove a fundamental decomposition result for the integral. The latter result was prove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e6d00794614ffda74061da64e8cf5cd
https://doi.org/10.1007/978-3-030-70974-7_8
https://doi.org/10.1007/978-3-030-70974-7_8
Autor:
Youssef Azouzi, Kawtar Ramdane
Publikováno v:
Quaestiones Mathematicae; Vol 41, No 2 (2018); 257-264
The notion of distribution function with respect to a conditional expectation is defined and studied in the framework of Riesz spaces.Keywords: Riesz space, conditional expectation operator, distribution function, Daniell integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e0456d9face993a421d30aecd819de4
https://doi.org/10.2989/16073606.2017.1377310
https://doi.org/10.2989/16073606.2017.1377310
Riesz Lattices and Daniell Spaces. Measure Spaces, Associated Daniell Spaces, and Stieltjes Functionals. The Closure of a Daniell Space. The Integral for a Daniell Space. Integrals Derived from Measures and Measurability. Historical Remarks on the De
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::387aea6a4429afd0313ad55a0fcb3ac6
https://doi.org/10.1201/9780203750568-4
https://doi.org/10.1201/9780203750568-4
Publikováno v:
Real and Functional Analysis ISBN: 9783030382186
In this chapter we study the Lebesgue integral and obtain fundamental results about passage to the limit under the integral sign and spaces of integrable functions. In addition, we prove very important theorems due to Radon and Nikodym and Fubini.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6d6e3935a5931a247b614cf1a477cf8
https://doi.org/10.1007/978-3-030-38219-3_3
https://doi.org/10.1007/978-3-030-38219-3_3
Publikováno v:
Journal of Mathematical Analysis and Applications. 456:151-162
In this paper we introduce the concept of maximal cluster of minimal atoms on monotone measure spaces and by means of this new concept we continue to investigate the relation between the Choquet integral and the pan-integral on finite spaces. It is p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fcd50e6625200b41018d3b0661afe14
https://doi.org/10.1016/j.jmaa.2017.06.086
https://doi.org/10.1016/j.jmaa.2017.06.086
Autor:
Bulat N. Khabibullin, R. A. Baladai
Publikováno v:
Russian Mathematics. 61:11-20
Obtaining pointwise estimates from above for a function or its averages, under known integral restrictions on the growth of the function, often arise in the function theory. We offer an approach to such problems based on integral Jensen’s inequalit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99db57995e63c1ae5435b1b9600873fe
https://doi.org/10.3103/s1066369x17100036
https://doi.org/10.3103/s1066369x17100036
Publikováno v:
The Journal of Nonlinear Sciences and Applications. 10:4552-4563
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::704ba73d4bb1e89de721cd6d02d5ac8d
https://doi.org/10.22436/jnsa.010.09.01
https://doi.org/10.22436/jnsa.010.09.01