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An Analytic Hierarchy Process-based case study on older adult-friendly community therapeutic landscape design. [PDF]

Front Public Health
Han Y, Li B, Zhang J.
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On the classes of functions of generalized bounded variation

Banach Journal of Mathematical Analysis, 2020
Assume that \(f:[a, b]\rightarrow\mathbb{R}\) is a function such that \begin{align*} &V(f, p_n\uparrow\infty, \phi, [a, b])\\ &:=\sup_n\sup_{\Delta}\left(\sum_{i=1}^{m}|f(t_i)-f(t_{i-1})|^{p_n}:\rho(\Delta)\ge\frac{1}{\phi(n)}\right)^{\frac{1}{p_n}}
Teimuraz Akhobadze, Koba Ivanadze
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FUNCTIONS OF BOUNDED GENERALIZED SECOND VARIATION

Mathematics of the USSR-Sbornik, 1980
This paper introduces the classes and of functions of variables. These classes, for , are more general than the class of functions of bounded second variation introduced by F.I. Harsiladze, and in the case they contain the classes of functions of bounded generalized variation introduced by B.I. Golubov.
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ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Mathematics of the USSR-Izvestiya, 1983
The following theorem by F. and M. Riesz is well known: If \(\Phi\) and its conjugate \({\tilde \Phi}\) are functions of bounded variation then \(\Phi\) and \({\tilde \Phi}\) are absolutely continuous. The author obtains the following generalization of this theorem. Theorem.
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Properties of Functions of Generalized Bounded Variations

2016
Summary: The class of functions of \(\Lambda BV^{(p)}\) shares many properties of functions of bounded variation. Here we have shown that \(\Lambda BV^{(p)}\) is a Banach space with a suitable norm, the intersection of \(\Lambda BV^{(p)}\), over all sequences \(\Lambda\), is the class of functions of BV\(^{(p)}\) and the union of \(\Lambda BV^{(p ...
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A Note on Generalized Tricircular Projections on Spaces of Bounded Variation Functions

Complex Analysis and Operator Theory, 2022
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A SUMMABILITY METHOD FOR FOURIER SERIES OF FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Analysis, 1997
The authors presented an interesting summability method which sums the Fourier series of a function of \(\Lambda\)-bounded variation everywhere to \({1\over 2}(f(x+)+ f(x-))\) and uniformly on any closed interval of points of continuity. Their method is given by a kernel function, in terms of the sequence \(\Lambda\), and this method is specific to the
D'Antonio, Lawrence A., Waterman, Daniel
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Two-Sided Estimates of the $$K$$-Functional for Spaces of Functions of Generalized Bounded Variation

Functional Analysis and Its Applications, 2022
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Convolution functions of several variables with generalized bounded variation

Analysis Mathematica, 2013
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