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Subjects
26-XX Real functions
26Axx Functions of one variable
26A39 Denjoy and Perron integrals, other special integrals

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Nonabsolutely convergent series

Dana Fraňková (1991)

Mathematica Bohemica

Assume that for any $t$ from an interval $[a, b]$ a real number $u (t)$ is given. Summarizing all these numbers $u (t)$ is no problem in case of an absolutely convergent series $\sum_{t \in [a, b]} u (t)$ . The paper gives a rule how to summarize a series of this type which is not absolutely convergent, using a theory of generalized Perron (or Kurzweil) integral.

Nonlinear Volterra integral equations in Henstock integrability setting.

Satco, Bianca-Renata (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonstandard analysis and generalized Riemann integrals

Jean Mawhin (1986)

Časopis pro pěstování matematiky

Note on generalized multiple Perron integral

Josef Král (1985)

Časopis pro pěstování matematiky

Notes on integration

Vladimír Lovicar (1970)

Časopis pro pěstování matematiky

Currently displaying 1 – 5 of 5

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