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Toward New Directions in Human Biology: A Roadmap for Anthropological Causal Inference With Observational Data. [PDF]

Am J Hum Biol
Watson EJ, Glass DJ, Petito LC.
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On analytic functions with generalized bounded Mocanu variation

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalida Inayat Noor
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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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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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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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A Note on Generalized Tricircular Projections on Spaces of Bounded Variation Functions

Complex Analysis and Operator Theory, 2022
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Derivatives and Integrals with Respect to a Base Function of Generalized Bounded Variation

Canadian Journal of Mathematics, 1967
In this paper we consider measures determined by arbitrary functions G(x) for which finite right and left limits exist everywhere and indicate how some of these measures permit the definition of generalized integrals of constructive or Denjoy type. These definitions are related to corresponding descriptive definitions based on the Perron approach as ...
Ellis, H. W., Jeffery, R. L.
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On Bounded Variation Functions by General MKZD Operators

Acta Mathematica Sinica, English Series, 2006
A family of operators, related to the classical Bernstein polynomial operators, were defined by Meyer-King and Zeller in 1960. These operators and their variants including integral versions have been the interest of considerable research since then. The author proves tight bounds for the rate of convergence for a Bézier-type variant of recent interest.
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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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