Tuo-Yeong Lee (2013)
Czechoslovak Mathematical Journal
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We establish two new norm convergence theorems for Henstock-Kurzweil integrals. In particular, we provide a unified approach for extending several results of R. P. Boas and P. Heywood from one-dimensional to multidimensional trigonometric series.
Grosjean, Carl C. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Tuo-Yeong Lee (2011)
Mathematica Bohemica
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Several new integrability theorems are proved for multiple cosine or sine series.
Cañada, A., Ureña, A.J. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sokol B. Kaliaj, Agron D. Tato, Fatmir D. Gumeni (2012)
Czechoslovak Mathematical Journal
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In this paper we use a generalized version of absolute continuity defined by J. Kurzweil, J. Jarník, Equiintegrability and controlled convergence of Perron-type integrable functions, Real Anal. Exch. 17 (1992), 110–139. By applying uniformly this generalized version of absolute continuity to the primitives of the Henstock-Kurzweil-Pettis integrable functions, we obtain controlled convergence theorems for the Henstock-Kurzweil-Pettis integral. First, we present a controlled convergence...
F. Criado, Jr. Criado, F., N. Odishelidze (2004)
Czechoslovak Mathematical Journal
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This paper deals with two types of non-local problems for the Poisson equation in the disc. The first of them deals with the situation when the function value on the circle is given as a combination of unknown function values in the disc. The other type deals with the situation when a combination of the value of the function and its derivative by radius on the circle are given as a combination of unknown function values in the disc. The existence and uniqueness of the classical solution...