Search results for "Lebesgue improper integral"

showing 3 items of 3 documents

Bollettino di Matematica pura e applicata

2020

The paper emphasizes some the advances of knowledge in mathematics problems ad new applications. The Bollettino is open to the contribution of Italian or foreign researchers.

Block designLebesgue improper integralBmPaSettore MAT/05 - Analisi MatematicaBoll. di mat. Pura ed appl.Liquid Helium II.Hadamard designFirst return integralNon Equilibrium Thermodynamic
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HENSTOCK INTEGRAL AND DINI-RIEMANN THEOREM

2009

In [5] an analogue of the classical Dini-Riemann theorem related to non-absolutely convergent series of real number is obtained for the Lebesgue improper integral. Here we are extending it to the case of the Henstock integral.

Lebesgue improper integralHenstock integralMeasure preserving mappingSettore MAT/05 - Analisi Matematicalcsh:MathematicsMathematics::Classical Analysis and ODEsDini-Riemann theoremlcsh:QA1-939Henstock Integral Dini-Riemann theorem
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A generalized first-return integration process

2020

We extend the first-return integration process, introduced in [5] by U.B. Darji and M.J. Evans, and prove that each Lebesgue-improper integrable function f : [a, b] --> R is first-return integrable in this generalized sense to (Li)int_a^b f(t) dt.

Settore MAT/05 - Analisi MatematicaFirst return integral Lebesgue improper integral.
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