On the intersections of transforms of linear sets
Roy Davies, J. Marstrand, S. Taylor (1960)
Colloquium Mathematicae
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Roy Davies, J. Marstrand, S. Taylor (1960)
Colloquium Mathematicae
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Dana Fraňková (1991)
Mathematica Bohemica
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Assume that for any from an interval a real number is given. Summarizing all these numbers is no problem in case of an absolutely convergent series . 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.
J. Novák (1962)
Fundamenta Mathematicae
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S. Taylor (1959)
Fundamenta Mathematicae
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Tibor Šalát (1971)
Časopis pro pěstování matematiky
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Tadeusz Jankowski (1994)
Applications of Mathematics
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A general theory of one-step methods for two-point boundary value problems with parameters is developed. On nonuniform nets , one-step schemes are considered. Sufficient conditions for convergence and error estimates are given. Linear or quadratic convergence is obtained by Theorem 1 or 2, respectively.