Results 211 to 220 of about 43,304 (241)

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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Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight

Journal of Applied Analysis, 2000
The author presents several properties of function spaces of bounded generalized variation of Riesz-Orlicz type including weight and then proves that each globally Lipschitzian superposition (or Nemytskij) operators between two such spaces must be affine.
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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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Deformable Image Registration Based on Functions of Bounded Generalized Deformation

International Journal of Computer Vision, 2021
Ziwei Nie, Hairong Liu, Xiaoping Yang
exaly  

The state-of-art of the generalizations of the Choquet integral: From aggregation and pre-aggregation to ordered directionally monotone functions

Information Fusion, 2020
Graçaliz Dimuro, Javier Fernandez, Benjamin Bedregal   +2 more
exaly  

Lagrange interpolation of functions of generalized bounded variation

Acta Mathematica Hungarica, 1989
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Some generalizations of Opial type inequalities for interval-valued functions

Fuzzy Sets and Systems, 2022
Dafang Zhao, Tianqing An, Guoju Ye
exaly  

BANACH ALGEBRAS OF FUNCTIONS HAVING GENERALIZED BOUNDED VARIATION

Real Analysis Exchange, 1986
openaire   +1 more source

Generalized monotonicity of sequences and functions of bounded p-variation

Acta Scientiarum Mathematicarum, 2016
S. S. Volosivets, A. A. Tyuleneva
openaire   +1 more source