Upper Bounds
New Upper Bounds for Mathieu-Type Series
... various bounds have been established for S, S. In this note we obtain e new upper bounds over S(r), S(r) with the help of Hardy–Hilbert double in- e tegral ...
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Lower and Upper Bounds for the Master Bay Planning Problem
... the bounds with three sets of instances. Each lower and upper bound solved all the instances and the results were analyzed by computing the proximity to the best known objective ...lower bounds with ...
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New estimations on the upper bounds for the nuclear norm of a tensor
... new upper bounds on the nuclear norms through using the orthogonal rank of the tensor [9, ...the upper bounds on the nuclear norms are ...
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Upper bounds for the bondage number of graphs on topological surfaces
... the bounds of Theorems 8 and 9 by replacing the terms h + 2 and k + 1, respectively, or to provide asymptotically better ...the upper bounds on the minimum vertex degree of graphs embeddable on ...
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New upper bounds on the spreads of the sporadic simple groups
... previous upper bounds for the larger sporadic groups proved in [4]; the new upper bounds proved here and the lower bounds proved in ...
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Upper bounds on the uniform spreads of the sporadic simple groups
... We can extend Algorithm-3 for any number of maximal subgroups from different conjugacy classes that intersect both mX and cY . Since Algorithm-2 and Algorithm-3 use large amounts of memory, we often use Algorithm-1 to ...
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General Upper Bounds on the Runtime of Parallel Evolutionary Algorithms
... to upper bounds obtained for a single panmictic island by the fitness-level method, for ring graphs the expected waiting time for an improvement can be replaced by its square root in the par- allel running ...
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Upper Bounds for the Euclidean Operator Radius and Applications
... Abstract. The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space. The tools used are ...
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Some Upper Bounds for Relative Entropy and Applications
... Abstract. In this paper we derive some upper bounds for the relative entropy D(p k q) of two probability distribution and apply them to mutual information and entropy mapping. To achieve this we use an ...
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Upper Bounds for the Euclidean Operator Radius and Applications
... The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n-tuple of bounded linear operators on a Hilbert space. The tools used are provided by ...
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Upper bounds for the number of spanning trees of graphs
... some upper bounds for the number of spanning trees of graphs in terms of the number of vertices, the number of edges and the vertex degrees of ...these upper bounds is always better than the ...
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Upper bounds for the eigenvalues of differential equations
... p(x)y + λq(x)y = 0, 0 < x < l, y(0) = y(l) = 0. (1.5) This will be achieved by first considering the intermediate problem in (2.1). The second goal is to establish upper bounds for fourth-order ...
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On Lower and Upper Bounds in Smooth and Strongly Convex Optimization
... and upper bounds are derived. Whereas existing lower bounds for this setting are only valid when the dimensionality scales with the number of iterations, our lower bound holds in the natural regime ...
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New upper bounds of n!
... The organization of this article is as follows. In Section 2, we deduce a general dou- ble inequality of n!, which already obtained in [9] with different proof. Section 3 is devoted to getting a new family of ...
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Upper bounds for α domination parameters
... which generalises another well-known upper bound of Alon and Spencer [2], Arnautov [3], Lov´ asz [14] and Payan [15]. Finally, we introduce the α-rate domination number, which combines together the concepts of ...
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Lower and upper bounds of shortest paths in reachability graphs
... 5. Extended free-choice systems. In this section, we obtain an upper bound for the length of the shortest paths between two reachable markings of a live and safe extended free-choice system. It is never greater ...
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On Lower and Upper Bounds of Matrices
... lower bounds for an arbitrary non-negative matrix acting on non-increasing non-negative sequences in l p when p ≥ 1, Bennett [3] determined the best possible ...
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Unprovability of circuit upper bounds in Cook's theory PV
... For the reader familiar with the argument in [19, Theorem 1.1], notice that we crucially used that the second application of their initial assumption does not require the uniformity condition. Roughly speaking, this ...
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Lower and upper bounds of number of zeros of random algebraic polynomials
... Therefore number of roots and the measure of the exceptional set in the set [ , ] are twice the corresponding value can be considered and now show that this upper bound is same as in [0, 1]. There are many ...
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Improved McClelland and Koolen–Moulton bounds for distance energy of a graph
... and upper bounds for the distance energy of a ...these bounds. The lower and upper bounds obtained in this paper improve the McClelland and Koolen– Moulton bounds for the ...
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