Results 241 to 250 of about 552,211 (279)

A generalization of bounded variation

Acta Mathematica Hungarica, 1990
The notion of bounded \(p\)-variation was introduced by \textit{N. Wiener} in 1924 [see Mass. J. Math. 3, 72--94 (1924; JFM 50.0203.01)]. \textit{D. Waterman} [Stud. Math. 44, 107--117 (1972; Zbl 0207.06901)] and \textit{Z. A. Chanturiya} [Dokl. Akad. Nauk SSSR 214, 63--66 (1974; Zbl 0295.26008)] have made important contributions concerning the concept
Kita, H., Yoneda, K.
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A generalization of bounded variation

Acta Mathematica Hungarica, 2002
The author proves some properties of the class \(\text{B}\Lambda(p(n)\uparrow \infty,\varphi)\). In particular he shows that if \(f\in \text{BV}(p(n)\uparrow\infty,\varphi)\), then \(f\in \text{B}\Lambda(p(n)\uparrow \infty,\varphi)\). The author establishes the exact order of the Fourier coefficients of functions in \(\text{B}\Lambda (p(n)\uparrow ...
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ON FUNCTIONS OF BOUNDED $ p$-VARIATION

Mathematics of the USSR-Izvestiya, 1968
In this article we obtain an asymptotic formula for the approximations to functions in the class (, ) by Fourier sums in the metric of (). We find sufficient conditions and also criteria for the continuity of the derivative of a function in the class . We also give some results on the Fourier coefficients of functions in the above class.
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Omniscience Principles and Functions of Bounded Variation

MLQ, 2002
Omniscience principles are general statements that can be proved classically but not constructively. They are used to show that other, more subject-specific statements that imply some omniscience principle do not have a constructive proof. The strongest omniscience principle is the law of excluded middle itself.
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Functions of Bounded Variation

2015
We know that if f is integrable, then the lower and upper sums of every partition F approximate its integral from below and above, and so the difference between either sum and the integral is at most \(S_{F} - s_{F} =\varOmega _{F}\), the oscillatory sum corresponding to F.
Miklós Laczkovich, Vera T. Sós
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Bounded Variation in Binary Sequences

2022
Christoph Buchheim, Maja Hügging
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Bounded variation and sampling

2019
In this chapter, we shall consider certain problems where a function of bounded variation generates trigonometric series which are then compared with its Fourier integral. In fact, Chapter 4 in [198] is devoted to these problems. Here, the more modern term “sampling” is equivalent to the older “discretization”.
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Bivariate functions of bounded variation: Fractal dimension and fractional integral

Indagationes Mathematicae, 2020
Saurabh Verma, P Viswanathan
exaly  

Bounded Variation

1996
R. Kannan, Carole King Krueger
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Relatively compact sets of Banach space-valued bounded-variation spaces

Banach Journal of Mathematical Analysis, 2022
Jingshi ‍Xu
exaly