Results 31 to 40 of about 18,466 (195)
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Approximating trigonometric functions by using exponential inequalities
Journal of Inequalities and Applications, 2019 In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
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Deep Underground Science and Engineering, EarlyView.An analytical framework delivers a closed‐form stress solution for lined compressed air energy storage chambers, enabling the determination of the minimum safe burial depth. The solution quantitatively evaluates lining support effectiveness, offering a reliable tool for chamber design and optimization.
Zeyuan Sun +3 more
wiley +1 more source
On a theorem of S.S.Bhatia and B.Ram [PDF]
, 2003 In this paper some inequalities for Dirichlet\u27s and Fejer\u27s kernels proved in [6] are refined and extended. Then we have obtained the conditions for L^1-convergence of the r-th derivatives of complex trigonometric series.
Ž. Tomovski
core
The Impact of Democratization and Globalization on Environmental Sustainability in Brazil
Geological Journal, EarlyView.Fossil fuel, economic globalisation, and economic growth drive environmental degradation while democratisation positively influences environmental quality. ABSTRACT Although Brazil still possesses significant ecological reserves, the surplus in its biocapacity has been rapidly declining in recent years.
Mustafa Naimoğlu +3 more
wiley +1 more source
Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions
Journal of Inequalities and Applications, 2016 In this paper, we present Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions.
Jun-Ling Sun, Chao-Ping Chen
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On new Simpson’s type ınequalities for trigonometrically convex functions with applications
Cumhuriyet Science Journal, 2020 The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Mahir Kadakal +3 more
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On a new generalization of some Hilbert-type inequalities
Open Mathematics, 2021 In this work, by introducing several parameters, a new kernel function including both the homogeneous and non-homogeneous cases is constructed, and a Hilbert-type inequality related to the newly constructed kernel function is established.
You Minghui, Song Wei, Wang Xiaoyu
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Lattice point problems and distribution of values of quadratic forms
, 1999 For d-dimensional irrational ellipsoids E with d >= 9 we show that the number of lattice points in rE is approximated by the volume of rE, as r tends to infinity, up to an error of order o(r^{d-2}). The estimate refines an earlier authors' bound of order
Bentkus, Vidmantas, Götze, Friedrich
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Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, EarlyView.ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source