Revista Matematica Complutense最新文献

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A note on the supersolution method for Hardy’s inequality 关于Hardy不等式的超解方法的一个注记

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-09-07 DOI: 10.1007/s13163-023-00460-7

F. Bianchi, L. Brasco, Firoj Sk, A. C. Zagati

引用次数: 1

Stability results on the Kirchhoff plate equation with delay terms on the dynamical boundary controls 具有时滞项的Kirchhoff板方程在动态边界控制下的稳定性结果

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-08-18 DOI: 10.1007/s13163-022-00437-y

Mohammad Akil, Haidar Badawi, S. Nicaise, A. Wehbe

引用次数: 6

Convexity of ratios of the modified Bessel functions of the first kind with applications. 修正的贝塞尔第一类函数比率的凸性及其应用。

IF 1.4 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-08-09 DOI: 10.1007/s13163-022-00439-w

Zhen-Hang Yang, Jing-Feng Tian

Let $I_{ν} (x)$ be the modified Bessel function of the first kind of order $ν$ . Motivated by a conjecture on the convexity of the ratio $W_{ν} (x) = x I_{ν} (x) / I_{ν + 1} (x)$ for $ν > - 2$ , using the monotonicity rules for a ratio of two power series and an elementary technique, we present fully the convexity of the functions $W_{ν} (x)$ , $W_{ν} (x) - x^{2} / (2 ν + 4)$ and $W_{ν} (x^{1 / θ})$ for $θ \geq 2$ on $(0, \infty)$ in different value ranges of $ν$ , which give an answer to the conjecture and extend known results. As consequences, some monotonicity results and new functional inequalities for $W_{ν} (x)$ are established. As applications, an open problem and a conjectures are settled. Finally, a conjecture on the complete monotonicity of $W_{ν} (x^{1 / θ})$ for $θ \geq 2$ is proposed.

设 I ν x 为阶数为 ν 的第一类修正贝塞尔函数。出于对 ν > - 2 时比率 W ν x = x I ν x / I ν + 1 x 的凸性猜想，我们利用两个幂级数之比的单调性规则和基本技术、我们充分展示了函数 W ν x , W ν x - x 2 / 2 ν + 4 和 W ν x 1 / θ 在不同的 ν 值范围内对于 θ ≥ 2 on 0 , ∞ 的凸性，给出了猜想的答案并扩展了已知结果。作为结果，建立了 W ν x 的一些单调性结果和新的函数不等式。作为应用，解决了一个未决问题和一个猜想。最后，提出了关于 θ ≥ 2 时 W ν x 1 / θ 的完全单调性的猜想。

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引用次数: 0

The impact of the zero order term in the study of Dirichlet problems with convection or drift terms 零阶项在有对流或漂移项的狄利克雷问题研究中的影响

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-07-20 DOI: 10.1007/s13163-022-00434-1

L. Boccardo

引用次数: 4

Poincaré–Reeb graphs of real algebraic domains 实代数域的poincar<s:1> - reeb图

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-07-14 DOI: 10.1007/s13163-023-00469-y

Arnaud Bodin, P. Popescu-Pampu, Miruna-Stefana Sorea

引用次数: 7

The k-nearest neighbors method in single index regression model for functional quasi-associated time series data 函数拟相关时间序列数据单指标回归模型中的k近邻方法

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-07-06 DOI: 10.1007/s13163-022-00436-z

S. Bouzebda, Ali Laksaci, Mustapha Mohammedi

引用次数: 5

Two theorems on the intersections of horospheres in asymptotically harmonic spaces 渐近调和空间中星座交点的两个定理

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-06-26 DOI: 10.1007/s13163-023-00459-0

Sinhwi Kim, JeongHyeong Park

引用次数: 0

Anisotropic Dirichlet double phase problems with competing nonlinearities 具有竞争非线性的各向异性Dirichlet双相位问题

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-06-18 DOI: 10.1007/s13163-022-00432-3

S. Leonardi, Nikolaos S. Papageorgiou

引用次数: 10

The class of c-almost periodic functions defined on vertical strips in the complex plane 复平面上垂直条上定义的一类c概周期函数

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-06-16 DOI: 10.1007/s13163-022-00433-2

H. Ounis, J. M. Sepulcre

引用次数: 1

Smooth norms in dense subspaces of $$ell _p(Gamma )$$ and operator ranges $$ell _p(Gamma )$$的密子空间和算子范围中的光滑范数

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2022-05-23 DOI: 10.1007/s13163-023-00479-w

Sheldon Dantas, P. H'ajek, T. Russo

引用次数: 0

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