Results 71 to 80 of about 1,569 (191)

Trace inequalities of Shisha-Mond type for operators in Hilbert spaces

Concrete Operators, 2017
Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
doaj   +1 more source

A discrete Hilbert-type inequality in the whole plane

Journal of Inequalities and Applications, 2016
By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given.
Dongmei Xin, Bicheng Yang, Qiang Chen
doaj   +1 more source

Density‐Valued ARMA Models by Spline Mixtures

Journal of Time Series Analysis, EarlyView.
ABSTRACT This paper proposes a novel framework for modeling time series of probability density functions by extending autoregressive moving average (ARMA) models to density‐valued data. The method is based on a transformation approach, wherein each density function on a compact domain [0,1]d$$ {\left[0,1\right]}^d $$ is approximated by a B‐spline ...
Yasumasa Matsuda, Rei Iwafuchi
wiley   +1 more source

On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function

Journal of Inequalities and Applications, 2016
By applying the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed by the gamma ...
Jianquan Liao, Bicheng Yang
doaj   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source

A Hilbert-type inequality related to the higher derivative of cotangent function(一个关联余切函数高阶导数的Hilbert型不等式)

Zhejiang Daxue xuebao. Lixue ban
By introducing multiple parameters, and using partial fraction expansion of Cotangent function, a new Hilbert-type inequality defined in the whole plane with the constant factor related to the higher derivative of cotangent function is established. Also,
时小春(SHI Xiaochun)
doaj   +1 more source

Refinements of local fractional Hilbert-type inequalities

Ukrains’kyi Matematychnyi Zhurnal, 2023
UDC 517.5 We study the re nements of several well-known local fractional Hilbert-type inequalities by interpolating the Lebesgue norms of the local fractional Laplace transforms of the functions involved in the inequalities. As an application, the main results are compared with some our results previously known from the literature.
openaire   +2 more sources

Band‐Pass Filtering With High‐Dimensional Time Series. A Synthetic Indicator of the Medium‐to‐Long Run Component of Growth

Journal of Time Series Analysis, EarlyView.
ABSTRACT The paper deals with the construction of a synthetic indicator of economic growth, obtained by projecting a quarterly measure of aggregate economic activity, namely gross domestic product (GDP), into the space spanned by a finite number of smooth principal components, representative of the medium‐to‐long‐run component of economic growth of a ...
Alessandro Giovannelli, Marco Lippi, Tommaso Proietti   +2 more
wiley   +1 more source

Testing Distributional Granger Causality With Entropic Optimal Transport

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a novel nonparametric test for Granger causality in distribution based on entropic optimal transport. Unlike classical mean‐based approaches, the proposed method directly compares the full conditional distributions of a response variable with and without the history of a candidate predictor.
Tao Wang
wiley   +1 more source

A Hilbert-type integral inequality(一个Hilbert型积分不等式)

Zhejiang Daxue xuebao. Lixue ban, 2007
通过估算权函数，建立一个含参数的具有最佳常数因子的Hilbert型积分不等式.同时建立它的两种最佳推广式及相应的等价形式.
YANGBi-cheng(杨必成)
doaj   +1 more source