Results 211 to 220 of about 895 (256)
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On analytic functions with generalized bounded Mocanu variation
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalida Inayat Noor, Ali Muhammad
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ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION
Mathematics of the USSR-Izvestiya, 1983The 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, 1980This 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, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Derivatives and Integrals with Respect to a Base Function of Generalized Bounded Variation
Canadian Journal of Mathematics, 1967In 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, 2006A 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, 1997The 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, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties of Functions of Generalized Bounded Variations
2016Summary: 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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Gap functions and error bounds for generalized vector variational inequalities
Optimization Letters, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang-Kai Sun, Yi Chai 0003
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