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Displaying similar documents to “Symmetric integrals and trigonometric series”

Some results about the Henstock-Kurzweil Fourier transform

Francisco J. Mendoza Torres, Juan A. Escamilla Reyna, Salvador Sánchez Perales (2009)

Mathematica Bohemica

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We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We prove that the classical results related to the Riemann-Lebesgue lemma, existence and continuity are true in appropriate subspaces.

Adjoint classes of functions in the H 1 sense

Piotr Sworowski (2007)

Czechoslovak Mathematical Journal

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Using the concept of the H 1 -integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.

The ap-Denjoy and ap-Henstock integrals

Jae Myung Park, Jae Jung Oh, Chun-Gil Park, Deuk Ho Lee (2007)

Czechoslovak Mathematical Journal

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In this paper we define the ap-Denjoy integral and show that the ap-Denjoy integral is equivalent to the ap-Henstock integral and the integrals are equal.