Results 181 to 190 of about 849 (217)
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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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Generalized gap functions and error bounds for generalized variational inequalities
Applied Mathematics and Mechanics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Yan-hong, Song, Wen
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On a generalization of the class of functions with bounded Mocanu variation
Proceedings of the Indian Academy of Sciences - Section A, 1981The object of this paper is to generalise the well-known class of functions analytic in the unit disc having bounded Mocanu variation. Certain properties of this more general class are investigated using convolution techniques.
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Conditions for the existence of stieltjes integral of functions of bounded generalized variation
Analysis Mathematica, 1988Necessary and sufficient conditions for the functions \(\phi\) and \(\psi\) are given so that for any function f(x) and g(x) of bounded \(\phi\)- respectively \(\psi\)-variation and having no common breakpoints, the Stieltjes integral \(\int^{2\pi}_{0}f(x)dg(x)\) exists i.e. \(\phi\) and \(\psi\) form an S-pair. Also for functions \(\phi\) and \(\psi\)
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On generalization of uniformly Lipschitz functions and functions of bounded variation
1994Summary: We introduce the space of uniformly Lipschitz functions from \(\mathbb{R}^n\) into \(C(S)\), where \(S\) is quasi-Stonean and functions of bounded variation taking values in a Dedekind complete Riesz space. These are Riesz spaces when ordered by the cone of increasing maps. We then consider order properties of these spaces.
Wickstead, Anthony, Ercan, Z.
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A note on Lagrange interpolation of functions of generalized bounded variation
Approximation Theory and its Applications, 1993Summary: We solve a remainded problem posed by the author [Acta Math. Hung. 53, No. 1/2, 75-84 (1989; Zbl 0683.41001)], whether the following estimate approximation for the class \(f'\in C[-1,1]\cap BV\) by Lagrange interpolation based on the Jacobi abscissas: \(L^{(\alpha,\beta)}_ n(f,x)- f(x)= O(1/n)\) holds, if \(\alpha\neq\beta\alpha, \beta\geq -1\)
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On generalized bounded variation functions on Vilenkin groups and applications
Georgian Mathematical JournalAbstract In the present paper, we introduce certain classes of functions of weighted bounded oscillation on bounded Vilenkin groups. For such classes, we employ the summability methods of the theory of double Vilenkin–Fourier series.
Ushangi Goginava +3 more
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A generalized trapezoid inequality for functions of bounded variation
2000Let \(f\) be a real function of bounded variation on \([a,b]\) . Denote its total variation on that interval by \(\bigvee_{a}^{b}\left( f\right) \) . The authors prove the following inequality \[ \left|\int_{a}^{b}f(t)dt-f(a)(x-a)-f(b)(b-x)\right|\leq \left[ \frac{1}{2} (b-a)+\left|x-\frac{a+b}{2}\right|\right] \bigvee_{a}^{b}\left( f\right) \] for all
Cerone, P. +2 more
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Convolution functions of several variables with generalized bounded variation
Analysis Mathematica, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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