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Relevant bibliographies by topics / Denjoy integrals

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Academic literature on the topic 'Denjoy integrals'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Denjoy integrals"

1

BONGIORNO, B., L. DI PIAZZA, and K. MUSIAŁ. "APPROXIMATION OF BANACH SPACE VALUED NON-ABSOLUTELY INTEGRABLE FUNCTIONS BY STEP FUNCTIONS." Glasgow Mathematical Journal 50, no. 3 (2008): 583–93. http://dx.doi.org/10.1017/s0017089508004448.

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AbstractThe approximation of Banach space valued non-absolutely integrable functions by step functions is studied. It is proved that a Henstock integrable function can be approximated by a sequence of step functions in the Alexiewicz norm, while a Henstock–Kurzweil–Pettis and a Denjoy–Khintchine–Pettis integrable function can be only scalarly approximated in the Alexiewicz norm by a sequence of step functions. In case of Henstock–Kurzweil–Pettis and Denjoy–Khintchine–Pettis integrals the full approximation can be done if and only if the range of the integral is norm relatively compact.

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SIUDUT, STANISLAW. "ON THE DENJOY-PERRON-BOCHNER INTEGRAL." Tamkang Journal of Mathematics 25, no. 4 (1994): 295–300. http://dx.doi.org/10.5556/j.tkjm.25.1994.4457.

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   The notion of Denjoy integrals of abstract functions was first intro- duced by A. Alexiewicz [1]. His descriptive definitions are based upon a concept of the approximate derivative. In this paper we present another descriptive definition for the Denjoy-Perron integral of abstract functions - via the parametric derivative of Tolstov [8]. Some properties of this integral are examined.   

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3

Tulone, Francesco. "Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms." Tatra Mountains Mathematical Publications 42, no. 1 (2009): 27–37. http://dx.doi.org/10.2478/v10127-009-0003-z.

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Abstract Denjoy and P-path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are applied to obtain an inversion formula for the multiplicative integral transform.

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Shao, Ya Bin, and Xia Hong Cai. "On the Approximately Denjoy Integrals of Fuzzy-Valued Functions." Applied Mechanics and Materials 536-537 (April 2014): 869–75. http://dx.doi.org/10.4028/www.scientific.net/amm.536-537.869.

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In this paper, we give the definitions of approximately derivates, and then define the ap-Denjoy integral of fuzzy valued functions using fuzzy approximate Lusin function and investigate some properties of ap-Denjoy integral.

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Preiss, D., and B. S. Thomson. "The Approximate Symmetric Integral." Canadian Journal of Mathematics 41, no. 3 (1989): 508–55. http://dx.doi.org/10.4153/cjm-1989-023-8.

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By a symmetric integral is understood an integral obtained from some kind of symmetric derivation process. Such integrals arise most naturally in the study of trigonometric series and in particular to handle the following problem. Suppose that a trigonometric seriesconverges everywhere to a function À. It is known that this may occur without À being integrable in any of the more familiar senses so that the series may not be considered as a Fourier series of À; indeed Denjoy [4] has shown that if bnis a sequence of real numbers decreasing to zero but with+00 then the function À(x) = is not Denj

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6

Bongiorno, B., W. F. Pfeffer, and B. S. Thomson. "A Full Descriptive Definition of the Gage Integral." Canadian Mathematical Bulletin 39, no. 4 (1995): 395–401. http://dx.doi.org/10.4153/cmb-1996-047-x.

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AbstractWe consider a specific Riemann type integral, called the gage integral. Using variational measures, we characterize all additive functions of intervals that are indefinite gage integrals. The characterization generalizes the descriptive definition of the classical Denjoy-Perron integral to all dimensions.

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7

Sworowski, Piotr. "Some Kurzweil-Henstock-type integrals and the wide Denjoy integral." Czechoslovak Mathematical Journal 57, no. 1 (2007): 419–34. http://dx.doi.org/10.1007/s10587-007-0070-8.

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8

Cao. "ON VECTOR-VALUED HENSTOCK AND DENJOY INTEGRALS." Real Analysis Exchange 20, no. 1 (1994): 50. http://dx.doi.org/10.2307/44152458.

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9

YEE. "GENERALIZED CONVERGENCE THEOREMS FOR DENJOY–PERRON INTEGRALS." Real Analysis Exchange 14, no. 1 (1988): 48. http://dx.doi.org/10.2307/44153618.

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Park, Jae Myung, Jae Jung Oh, Chun-Gil Park, and Deuk Ho Lee. "The ap-Denjoy and ap-Henstock integrals." Czechoslovak Mathematical Journal 57, no. 2 (2007): 689–96. http://dx.doi.org/10.1007/s10587-007-0106-0.

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Dissertations / Theses on the topic "Denjoy integrals"

1

Larsson, David. "Generalized Riemann Integration : Killing Two Birds with One Stone?" Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-96661.

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Since the time of Cauchy, integration theory has in the main been an attempt to regain the Eden of Newton. In that idyllic time [. . . ] derivatives and integrals were [. . . ] different aspects of the same thing. -Peter Bullen, as quoted in [24] The theory of integration has gone through many changes in the past centuries and, in particular, there has been a tension between the Riemann and the Lebesgue approach to integration. Riemann's definition is often the first integral to be introduced in undergraduate studies, while Lebesgue's integral is more powerful but also more complicated and its

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David, Manolis. "The Henstock–Kurzweil Integral." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-166430.

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Since the introduction of the Riemann integral in the middle of the nineteenth century, integration theory has been subject to significant breakthroughs on a relatively frequent basis. We have now reached a point where integration theory has been thoroughly researched to a point where one has to delve quite deep into a particular subject in order to encounter open conjectures. In education the Riemann integral has for quite some time been the standard integral in elementary analysis courses and as the complexity of these courses incrementally increase the more general Lebesgue integral eventua

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3

Fratta, Giusy. "Analisi e razionalizzazione dei flussi di materiale in ingresso e dei trasporti in un'ottica di logistica integrata: il caso Denso Manufacturing Italia S.p.A." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2010. http://amslaurea.unibo.it/1318/.

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Negli ultimi anni è emerso chiaramente come la logistica rivesta un’importanza fondamentale per le aziende e costituisca un ottimo strumento per assicurarsi e mantenere un solido vantaggio competitivo. Inoltre, osservando l’ambiente attuale si evince come il sistema logistico sia caratterizzato da un progressivo aumento di complessità, sia in seguito alle maggiori esigenze dei mercati e sia come conseguenza della globalizzazione. In questo quadro evolutivo è mutato profondamente il ruolo ricoperto dalla logistica all’interno delle organizzazioni. Rispetto alla concezione tradizionale, che co

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4

Schäffer, Adriana. "Diskurzivní analýza mediální debaty "Sarrazin-Debatte": Analýza diskurzu o migraci v přesregionálních německých denících v roce 2010." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-352564.

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The diploma thesis "Discourse analysis of the "Sarrazin-Debatte": Analysis of the migration discourse in transregional daily newspaper in 2010"deals with the controversial "Sarrazin debate" and its impact on the migration discourse in 2010. After describing the process of the debate follows discourse analysis of four German transregional daily newspapers, which can be considered as representatives of a simple political spectrum from right to left wing. The goal of the analysis is to determine the thematic structure of the discourse and to define patterns of interpretation and statement of inte

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Books on the topic "Denjoy integrals"

1

Gordon, Russell A. The integrals of Lebesgue, Denjoy, Perron, and Henstock. American Mathematical Society, 1994.

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2

C̆elidze, V. G. The theory of the denjoy integral and some applications. World Scientific, 1989.

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Theory of the Denjoy Integral and Some Applications (Series in Real Analysis Vol, 3). World Scientific Pub Co Inc, 1989.

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Book chapters on the topic "Denjoy integrals"

1

Yee, Lee Peng. "Generalized convergence theorems for Denjoy-Perron integrals." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0083102.

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Gordon, Russell. "The Denjoy integral." In Graduate Studies in Mathematics. American Mathematical Society, 1994. http://dx.doi.org/10.1090/gsm/004/07.

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Pajot, Hervé. "6. The Denjoy and Vitushkin conjectures." In Analytic Capacity, Rectifiability, Menger Curvature and the Cauchy Integral. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-36074-2_6.

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Shao, Wenkai, Jiechang Ruan, and Shu Gong. "On Denjoy-McShane-Stieltjes Integral of Fuzzy-Number-Valued Functions." In Lecture Notes in Computer Science. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22053-6_17.

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5

"DENJOY INTEGRALS." In Series in Real Analysis. WORLD SCIENTIFIC, 1989. http://dx.doi.org/10.1142/9789814434515_0001.

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Yee, Lee Peng. "A Proof of the Generalized Dominated Convergence Theorem for Denjoy Integrals." In North-Holland Mathematics Studies. Elsevier, 1988. http://dx.doi.org/10.1016/s0304-0208(08)71334-3.

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"THE DENJOY-PERRON INTEGRAL." In Series in Real Analysis. WORLD SCIENTIFIC, 1989. http://dx.doi.org/10.1142/9789814434386_0002.

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8

"THE DOUBLE DENJOY INTEGRAL." In Series in Real Analysis. WORLD SCIENTIFIC, 1989. http://dx.doi.org/10.1142/9789814434515_0002.

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9

Model, Anselm. "Selbstüberschreitung: Jonas Cohns Wertphilosophie und Pädagogik vor dem Hintergrund der Ethik Friedrich Nietzsches." In The Paideia Archive: Twentieth World Congress of Philosophy. Philosophy Documentation Center, 1998. http://dx.doi.org/10.5840/wcp20-paideia19985118.

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Teaching philosophy and pedagogy at the University of Freiburg from 1897 to 1933, Jonas Cohn fought mainly against Friedrich Nietzsche and the influence of the ethics of Nietzsche on the youth of his time. A declaration made by Cohn in the Preface of his Science of Value (1932) shows this: "The title 'science of value' means polemics, too: I fight against all, who following Nietzsche deny the possibility of a science of value." But this opposition to Nietzsche and to his followers is not the only aspect of Cohn's relation to Nietzsche. On the other side, Cohn attempted to integrate some of the important traits of Nietzsche's ethic in his own conception of philosophy and pedagogics. The expression "self-transcendence" (Selbstüberschreitung) stands for this ambition of Cohn. This can be demonstrated by some biographical data and by the interpretation of Cohn's philosophy of value.

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Conference papers on the topic "Denjoy integrals"

1

Lopez varela, Susana, and Joan Moreno Sanz. "La red de transporte masivo como soporte del sistema de espacios abiertos metropolitanos. Caso de estudio: La Línea 2 del Metro de Lima." In ISUF-h 2019 - CIUDAD COMPACTA VERSUS CIUDAD DIFUSA. Editorial Universitat Politècnica de València, 2019. http://dx.doi.org/10.4995/isufh2019.2019.9654.

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El modelo de desarrollo urbano disperso y monofuncional, ha incrementado la movilidad urbana y la dependencia de sistemas de locomoción individuales, generando externalidades negativas ambientales y sociales: contaminación atmosférica, fragmentación de los espacios abiertos, desigualdad social, etc. La planificación urbana orientada a la movilidad sostenible es uno de los retos del desarrollo urbano futuro. La promoción de sistemas de transporte masivo en entornos urbanos densos y mixtos, debería contribuir, no sólo a mejorar la eficiencia de las redes de transporte y a reducir el impacto de l

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2

Lopez varela, Susana, and Joan Moreno Sanz. "La red de transporte masivo como soporte del sistema de espacios abiertos metropolitanos. Caso de estudio: La Línea 2 del Metro de Lima." In ISUF-h 2019 - CIUDAD COMPACTA VERSUS CIUDAD DIFUSA. Editorial Universitat Politècnica de València, 2020. http://dx.doi.org/10.4995/isufh2019.2020.9654.

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El modelo de desarrollo urbano disperso y monofuncional, ha incrementado la movilidad urbana y la dependencia de sistemas de locomoción individuales, generando externalidades negativas ambientales y sociales: contaminación atmosférica, fragmentación de los espacios abiertos, desigualdad social, etc. La planificación urbana orientada a la movilidad sostenible es uno de los retos del desarrollo urbano futuro. La promoción de sistemas de transporte masivo en entornos urbanos densos y mixtos, debería contribuir, no sólo a mejorar la eficiencia de las redes de transporte y a reducir el impacto de l

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