Results 221 to 230 of about 895 (256)

Generalized gap functions and error bounds for generalized variational inequalities

Applied Mathematics and Mechanics, 2009
zbMATH 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, 1981
The 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, 1988
Necessary 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

1994
Summary: 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, 1993
Summary: 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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A generalized trapezoid inequality for functions of bounded variation

2000
Let \(f\) 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., Dragomir, Sever S., Pearce, Charles E. M.   +2 more
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On generalized bounded variation functions on Vilenkin groups and applications

Georgian Mathematical Journal
Abstract 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, Gvantsa Shavardenidze, Tadael Mequanent, Yonathan Demeke   +3 more
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Convolution functions of several variables with generalized bounded variation

Analysis Mathematica, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On certain integral means of functions of generalized bounded variation

Georgian Mathematical Journal, 2019
Abstract For certain classes of functions of Λ-bounded variation on [ - π ,
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Embeddings of classes of continuous functions in classes of functions of bounded generalized variation

Sbornik: Mathematics, 2002
This paper is an investigation of necessary and sufficient conditions for embeddings of the function classes in classes of functions of bounded generalized variation. Theorems of a general character are obtained, along with embedding theorems under certain additional conditions imposed on the modulus of continuity.
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