Results 21 to 30 of about 2,821,192 (174)

The additivity of polygamma functions [PDF]

Filomat, 2015
In the paper, the authors prove that the functions |?(i)(ex)| for i ? N are subadditive on (ln?i,?) and superadditive on (-?, ln ?i), where ?i ? (0,1) is the unique root of equation 2|?(i)(?)|= ?(i)(?2)|.
Bai-Ni Guo, Feng Qi, Qiu-Ming Luo
openaire   +1 more source

A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers

IET Radar, Sonar &Navigation, Volume 17, Issue 11, Page 1728-1742, November 2023., 2023
A robust algebraic algorithm based on lp ${l}_{p}$‐norm minimisation and IRLS is developed. The simulation results demonstrated that the localisation RMSE and bias of the existing algorithms increased dramatically in impulse measurement noise. In contrast, the localisation RMSE and bias of the developed algorithm were significantly lower at different ...
Jing Yang, Chengcheng Liu, Jie Huang, Ting Ding, Dexiu Hu, Chuang Zhao   +5 more
wiley   +1 more source

Information‐theoretic model of induced technical change: Theory and empirics

Metroeconomica, Volume 74, Issue 1, Page 2-39, February 2023., 2023
Abstract The paper develops an information‐theoretic model of induced technical change where payoff‐maximizing agents are exposed to a positive degree of uncertainty when adopting new technology due to unobserved cost factors. The derived equilibrium of the model comes in the form of a non‐degenerate probability distribution that defines the distance ...
Jangho Yang
wiley   +1 more source

The Best Bounds in Gautschi-Kershaw Inequalities [PDF]

, 2005
By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an alternative proof of a monotonicity and ...
Qi, Feng, Chen, Chao-Ping, Guo, Bai-Ni
core   +4 more sources

On the Hurwitz zeta function with an application to the beta-exponential distribution

Journal of Inequalities and Applications, 2020
We prove a monotonicity property of the Hurwitz zeta function which, in turn, translates into a chain of inequalities for polygamma functions of different orders.
Julyan Arbel, Olivier Marchal, Bernardo Nipoti   +2 more
doaj   +1 more source

Analysis of Eavesdropping Region in Hybrid mmWave‐Microwave Wireless Systems

Wireless Communications and Mobile Computing, Volume 2023, Issue 1, 2023., 2023
Hybrid communication systems, where millimeter‐wave (mmWave) links coexist with microwave links, have been an essential component in the fifth‐generation (5G) wireless networks. Nevertheless, the open feature of the wireless medium makes hybrid systems vulnerable to eavesdropping attacks.
Qianyue Qu, Yuanyu Zhang, Shoji Kasahara, Kechen Zheng   +3 more
wiley   +1 more source

On k-analogues of digamma and polygamma functions [PDF]

Journal of Classical Analysis, 2018
Summary: In this work, we obtain some integral representations of \(k\)-analogue of classical digammafunction \(\Psi(x)\). Then by using the concepts of neutrix and neutrix limit, we generalize the \(k\)-digamma function \(\Psi_k(x)\) and the \(k\)-polygamma function \(\Psi_k^{(r)}(x)\) for all real values of \(x\), \(r\in \mathbb N\) and \(k>0\). Also,
Yıldırım, Emrah, Ege, İncı
openaire   +1 more source

E‐Bayesian Estimation of Hierarchical Poisson‐Gamma Model on the Basis of Restricted and Unrestricted Parameter Spaces

Complexity, Volume 2023, Issue 1, 2023., 2023
In this study, we use the idea of the hierarchical model (HM) to estimate an unknown parameter of the hierarchical Poisson‐Gamma model using the E‐Bayesian (E‐B) theory. We propose the idea of hierarchical probability function instead of the traditional hierarchical prior density function.
Azeem Iqbal, Laila A. Al-Essa, Muhammad Yousaf Shad, Fuad S. Alduais, Mansour F. Yassen, Muhammad Ahmad Raza, Osnat Mokryn   +6 more
wiley   +1 more source

Certain Hermite–Hadamard Inequalities for Logarithmically Convex Functions with Applications

Mathematics, 2019
In this paper, we discuss various estimates to the right-hand (resp. left-hand) side of the Hermite⁻Hadamard inequality for functions whose absolute values of the second (resp. first) derivatives to positive real powers are log-convex.
Shilpi Jain, Khaled Mehrez, Dumitru Baleanu, Praveen Agarwal   +3 more
doaj   +1 more source

Early soft and flexible fusion of electroencephalography and functional magnetic resonance imaging via double coupled matrix tensor factorization for multisubject group analysis

Human Brain Mapping, Volume 43, Issue 4, Page 1231-1255, March 2022., 2022
The electroencephalography–functional magnetic resonance imaging fusion methods that have been reported so far ignore the underlying multi‐way nature of the data in at least one of the modalities and/or rely on very strong assumptions concerning the relation of the respective datasets.
Christos Chatzichristos, Eleftherios Kofidis, Wim Van Paesschen, Lieven De Lathauwer, Sergios Theodoridis, Sabine Van Huffel   +5 more
wiley   +1 more source