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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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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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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, 2021Hairong Liu, Ziwei Nie, Xiaoping Yang
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Properties of functions with bounded second variation in the generalized sense
2012We define the second generalized variation of a measurable function $f:[a,b]\rightarrow\mathfrak{R}$ by means of Burkill-Cesari type integral of a proper interval function, obtaining in this manner a direct method for its calculus. We establish then several propertes of bounded second generalized variation functions.
Gori Cocchieri, Candida, Ragni, Marcello
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Generalizations of multivalent Mocanu functions
Applied Mathematics and Computation, 2015Jacek Dziok
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Hornich Operations on Functions of Bounded Boundary Rotations and Order α\alpha
Computational Methods and Function Theory, 2019Swadesh Sahoo +2 more
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