[PDF] Top 20 New Upper Bounds for Mathieu-Type Series
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New Upper Bounds for Mathieu-Type Series
... L´eonard Mathieu (1835–1890), who investigated it in his 1890 book [9] written on the elasticity of solid ...bodies. Bounds for this series are needed for the solution of boundary value problems for ... See full document
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Computable solution of fractional kinetic equations using Mathieu type series
... generalized Mathieu-type series with the help of Laplace and Sumudu transform ...generalized Mathieu-type series (25), our main results can yield several new solutions of ... See full document
13
Two S type Z eigenvalue inclusion sets for tensors
... two new S-type Z-eigenvalue inclusion ...present upper bounds on the spectral radius of weakly symmetric nonnegative tensors and show that the results are sharper than the upper ... See full document
12
New upper bounds on the spreads of the sporadic simple groups
... The support classes giving the best bound found in this way are given in Table 3. For completeness we give these support classes for each of the sporadic groups that possesses one, that is every sporadic simple group ... See full document
8
Integral Representation of Mathieu (a,λ)-Series
... The series (1) we call Mathieu (a, λ)-series in the ...derive upper and lower bounds for the Mathieu (a, ...generalized Mathieu series using first kind Bessel ... See full document
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Some New Bounds for Mathieu's Series
... After 2000, among other things, several open problems on the estimations and integral representations of generalized Mathieu’s series were posed in [14, 26, 27] by B.-N. Guo and F. Qi. Stimulated by or originated ... See full document
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New Inequalities of Shafer Fink Type for Arc Hyperbolic Sine
... In this paper, we obtain new lower and upper bounds of arc hyperbolic sine sinh−1 x, and we show simple proofs of the following two Shafer-Fink-type inequalities... Journal of Inequaliti[r] ... See full document
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Certain fractional calculus formulas involving extended generalized Mathieu series
... a new fractional derivative which is more suitable than the classical Caputo fractional derivative for many engineering and thermodynamical ...a new fractional derivative to study the nature of Fisher’s ... See full document
30
Optimal convex combination bounds of geometric and Neuman means for Toader type mean
... combination bounds of the geometric and Neuman means for the Toader-type mean, and give several new upper and lower bounds for the complete elliptic integral of the second ... See full document
10
Integral Expression and Inequalities of Mathieu Type Series
... Using the quadrature formulas, some new inequalities of Mathieu series (1) were established in [8]. By the help of Laplace transform, the open problem mentioned above was partially solved, for ... See full document
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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 ... See full document
9
New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations
... [12] F. Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, Comput. Math. Appl. (2006), accepted. RGMIA Res. Rep. Coll. 9 ... See full document
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Improvements of bounds for the Sándor–Yang means
... 5 Conclusion We present sharp upper and lower bounds for the Sándor–Yang means RAQ and RQA in terms of the arithmetic and contraharmonic means and provide new bounds for the Seiffert mea[r] ... See full document
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An improvement of the infinity norm bound for the inverse of \(\{P {1},P {2}\}\) Nekrasov matrices
... find upper bounds for the infinity norm of the inverse of H-matrices, because it can be used to the convergence analysis of matrix splitting and matrix multi-splitting iterative methods for solving large ... See full document
12
Polynomial multiplication over binary finite fields: new upper bounds
... Abstract. When implementing a cryptographic algorithm, efficient operations have high relevance both in hardware and software. Since a number of operations can be performed via polynomial multiplication, the arithmetic ... See full document
21
Interleave Variational Optimization with Monte Carlo Sampling: A Tale of Two Approximate Inference Paradigms
... Variational bounds (Wainwright and Jordan 2008) and closely related approximate elimination methods (Dechter and Rish 2003; Liu and Ihler 2011) provide deterministic guarantees on the partition ...these ... See full document
8
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 ... See full document
18
New upper bounds for \(\|A^{ 1}\| {\infty}\) of strictly diagonally dominant M matrices
... A new upper bound for the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix is given, and the lower bound for the minimum eigenvalue of the matrix is ...an upper bound for the ... See full document
8
Upper and lower bounds for the Bregman divergence
... Note that this idea is not at all new. Already in [6, 7] this kind of connection between F and F ∗ was discussed in depth. So again one can just make use of the smoothness of F ∗ to conclude lower bounds ... See full document
12
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 ... See full document
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