Results 151 to 160 of about 468,918 (185)

Variational bounds to the overlap

Chemical Physics Letters, 1975
Abstract Starting from a closed expression for the overlap, variational upper and lower bounds to the overlap are derived by means of operator inequalities.
Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof   +1 more
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Functions of Bounded Variation

2015
We know that if f is integrable, then the lower and upper sums of every partition F approximate its integral from below and above, and so the difference between either sum and the integral is at most \(S_{F} - s_{F} =\varOmega _{F}\), the oscillatory sum corresponding to F.
Vera T. Sós, Miklós Laczkovich
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Bounded Variation

2014
Chapter 8 concerns monotone functions and bounded variation. Basic properties of monotone functions are proved. Continuous and jump monotone functions are considered. Relationship of monotone and invertible functions is discussed. Example of a singular monotone function is presented. Monotone functions are generalized to functions of bounded variation.
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Functions of Bounded Variation

1989
A function of bounded variation of one variable can be characterized as an integrable function whose derivative in the sense of distributions is a signed measure with finite total variation. This chapter is directed to the multivariate analog of these functions, namely the class of L1functions whose partial derivatives are measures in the sense of ...
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On mappings of bounded variation

Journal of Dynamical and Control Systems, 1997
We present the properties of mappings of bounded variation defined on a subset of the real line with values in metric and normed spaces and show that major aspects of the theory of realvalued functions of bounded variation remains valid in this case. In particular, we prove the structure theorem and obtain the continuity properties of these mappings as
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Selections of Bounded Variation

Journal of Applied Analysis, 2004
The paper presents recent results concerning the problem of the existence of those selections, which preserve the properties of a given set-valued mapping of one real variable taking on compact values from a metric space. The properties considered are the boundedness of Jordan, essential or generalized variation, Lipschitz or absolute continu- ity ...
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Bound States and Variational Principle

2011
In this chapter we develop powerful techniques for proving existence of bound states (eigenfunctions) corresponding to isolated eigenvalues. We also give estimates of their number.
Stephen Gustafson, Israel Michael Sigal
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Bounded variation and sampling

2019
In this chapter, we shall consider certain problems where a function of bounded variation generates trigonometric series which are then compared with its Fourier integral. In fact, Chapter 4 in [198] is devoted to these problems. Here, the more modern term “sampling” is equivalent to the older “discretization”.
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Functions of Bounded Variation [PDF]

Journal of Advances and Scholarly Researches in Allied Education, 2018
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On Points of Bounded Variation

The American Mathematical Monthly, 1963
B. K. Lahiri, P. C. Bhakta
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