Results 21 to 30 of about 232,650 (275)
Central Limit Theorems for Wavelet Packet Decompositions of Stationary Random Processes [PDF]
This paper provides central limit theorems for the wavelet packet decomposition of stationary band-limited random processes. The asymptotic analysis is performed for the sequences of the wavelet packet coefficients returned at the nodes of any given path
Atto, Abdourrahmane, Pastor, Dominique
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Mean Value Theorems on Manifolds [PDF]
We derive several mean value formulae on manifolds, generalizing the classical one for harmonic functions on Euclidean spaces as well as later results of Schoen-Yau, Michael-Simon, etc, on curved Riemannian manifolds. For the heat equation a mean value theorem with respect to `heat spheres' is proved for heat equation with respect to evolving ...
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A generalization of contraction principle
In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping.
K. M. Ghosh
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We present a streamlined, slightly modified version, in the two-variable situation, of a beautiful, but not so well known, theory by Bögel, already from the 1930s, on an alternative higher dimensional calculus of real functions, a double calculus, which ...
Patrik Lundström
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Degree distribution of shortest path trees and bias of network sampling algorithms [PDF]
In this article, we explicitly derive the limiting degree distribution of the shortest path tree from a single source on various random network models with edge weights.
Bhamidi, Shankar +3 more
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A General Mean-Value Theorem [PDF]
In a paper published in 1906t, Professor G. D. Birkhoff treated the meanvalue and remainder theorems belonging to polynomial interpolation, in which the linear differelntial operator lt(n) played a particular role. It is natural to expect that a generalization of many of the ideas of that paper may apply to the general linear differential operator of ...
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Giaccardi inequality for generalized convex functions and related results
In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) $(h,m)$ -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m.
Wasim Iqbal, Atiq ur Rehman
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Characterization of matrix transformation of complex uncertain sequences via expected value operator
The aim of this paper is to study the concept of matrix transformation between complex uncertain sequences in mean. The characterization of the matrix transformation has been made by applying the concept of convergence of complex uncertain series ...
B. Das, P. Debnath, B.C. Tripathy
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Mean-value theorem for vector-valued functions [PDF]
Summary: For a differentiable function \(f\: I\rightarrow \mathbb {R}^k\), where \(I\) is a real interval and \(k\in \mathbb {N}\), a counterpart of the Lagrange mean-value theorem is presented. Necessary and sufficient conditions for the existence of a mean \(M\: I^2\rightarrow I\) such that \[ f(x)-f(y)=(x-y)f'(M(x,y)),\; x,y\in I, \] are given ...
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About some mean-value theorems for B-differentiable functions
In this paper we shall demonstrate a general mean-value theorem for \(B\) -differentiable functions. By particularization, we obtain Pompeiu-type and Ivan-type theorems for \(B\)-differentiable functions.
Ovidiu T. Pop, Mircea Farcaş
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