On the number of fractional parts of a polynom lying in a given interval.
И.М. Виноградов ([unknown])
Matematiceskij sbornik
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Displaying similar documents to “On the distribution of the fractional part of a statistical variable.”
On the number of fractional parts of a polynom lying in a given interval.
Supplement to the paper "On the number of fractional parts of a polynom lying in a given interval"
И.М. Виноградов (1936)
Matematiceskij sbornik
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Fractional Korovkin Theory Based on Statistical Convergence
Anastassiou, George A., Duman, Oktay (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 41A25, 41A36, 40G15. In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.
Fractional Trigonometric Korovkin Theory in Statistical Sense
Anastassiou, George A., Duman, Oktay (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 41A25, 41A36. In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.
Approximation by mean of fractional parts of a polynomial.
И.М. Виноградов ([unknown])
Matematiceskij sbornik
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Generalized Fractional Calculus With Application in Mechanics
Ljubica Oparnica (2002)
Matematički Vesnik
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On a sum of fractional parts
B. Martić (1964)
Matematički Vesnik
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Note on the fractional parts of λθⁿ
Masayoshi Hata (2005)
Acta Arithmetica
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A Note On Fractional Integration
Branislav Martić (1973)
Publications de l'Institut Mathématique
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On fractional derivatives
Helena Musielak (1973)
Colloquium Mathematicae
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Fractional Derivatives in Spaces of Generalized Functions
Stojanović, Mirjana (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo We generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of...