On the number of fractional parts of a polynom lying in a given interval.
И.М. Виноградов ([unknown])
Matematiceskij sbornik
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И.М. Виноградов ([unknown])
Matematiceskij sbornik
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И.М. Виноградов (1936)
Matematiceskij sbornik
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Дж. Тукый ([unknown])
Matematiceskij sbornik
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George A. Anastassiou (2016)
Applicationes Mathematicae
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We introduce left general fractional Caputo style derivatives with respect to an absolutely continuous strictly increasing function g. We give various examples of such fractional derivatives for different g. Let f be a p-times continuously differentiable function on [a,b], and let L be a linear left general fractional differential operator such that L(f) is non-negative over a closed subinterval I of [a,b]. We find a sequence of polynomials Qₙ of degree ≤n such that L(Qₙ) is non-negative...
И.М. Виноградов ([unknown])
Matematiceskij sbornik
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B. Martić (1964)
Matematički Vesnik
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Masayoshi Hata (2005)
Acta Arithmetica
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Abdelbaki Djouambi, Abdelfatah Charef, Alina Voda besancon (2007)
International Journal of Applied Mathematics and Computer Science
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This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems fora given frequency band by a rational function are presented. The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase...
Helena Musielak (1973)
Colloquium Mathematicae
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Branislav Martić (1973)
Publications de l'Institut Mathématique
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