Results 11 to 20 of about 101 (82)

Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions

Journal of Inequalities and Applications, 2008
Making use of the pullbacks, we reformulate the following quadratic functional equation: in the spaces of generalized functions. Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam ...
Lee Young-Su
doaj   +2 more sources

A Characterization for Fourier Hyperfunctions

Publications of the Research Institute for Mathematical Sciences, 1994
The space of test functions for Fourier hyperfunctions is characterized by two conditions \sup |φ (x)| \exp k|x|<∞ and \sup|\hat φ(ξ) | \exp h|ξ|<∞ for some
Chung, Jaeyoung, Chung, Soon-Yeong, Kim, Dohan   +2 more
openaire   +3 more sources

Periodic hyperfunctions and Fourier series [PDF]

Proceedings of the American Mathematical Society, 1999
Every periodic hyperfunction is a bounded hyperfunction and can be represented as an infinite sum of derivatives of bounded continuous periodic functions. Also, Fourier coefficients c
Chung, Soon-Yeong, Kim, Dohan, Lee, Eun Gu   +2 more
openaire   +2 more sources

Stability of Cubic Functional Equation in the Spaces of Generalized Functions

Journal of Inequalities and Applications, 2007
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functional equation f(ax+y)+f(ax−y)=af(x+y)+af(x−y)+2a(a2−1)f(x) for fixed integer a with a≠0,±1 in the spaces of Schwartz tempered
Soon-Yeong Chung, Young-Su Lee
doaj   +1 more source

Structure of the extended Fourier hyperfunctions

Japanese journal of mathematics. New series, 1993
\textit{T. Matsuzawa's} Methode zur Beschreibung der Struktur von Räumen von Distributionen, Ultradistributionen und Hyperfunktionen [Trans. Am. Math. Soc. 313, No. 2, 619-654 (1989; Zbl 0681.46042)] wird hier zur Strukturbeschreibung des Raumes \({\mathcal G}'\) von erweiterten Fourier Hyperfunktionen verwendet. Es wird gezeigt, daß jedes \(u\) in \({\
CHUNG, Soon-Yeong, KIM, Dohan, KIM, Sung Ki   +2 more
openaire   +3 more sources

High Hydrostatic Pressure‐Assisted Extraction of High‐Molecular‐Weight Melanoidins from Black Garlic: Composition, Structure, and Bioactive Properties

Journal of Food Quality, Volume 2019, Issue 1, 2019., 2019
Melanoidin is one of the most important ingredients in black garlic due to the high nutritional values and biological functions. High hydrostatic pressures from 200 to 500 MPa were employed to extract the melanoidins from black garlic for improving the extraction efficiency and enhancing the activities.
Yimeng Zhao, Yongli Jiang, Yanfang Ding, Danfeng Wang, Yun Deng, Celia Rodríguez-Pérez   +5 more
wiley   +1 more source

Estimating Mental Health Conditions of Patients with Opioid Use Disorder

Journal of Addiction, Volume 2019, Issue 1, 2019., 2019
Objectives. Noninvasive estimation of cortical activity aberrance may be a challenge but gives valuable clues of mental health in patients. The goal of the present study was to characterize specificity of electroencephalogram (EEG) electrodes used to assess spectral powers associated with mental health conditions of patients with opioid use disorder ...
Christopher Minnerly, Steven L. Bressler, Ibrahim M. Shokry, Rui Tao, Rebecca J. Houston   +4 more
wiley   +1 more source

Modulation Spectra Morphological Parameters: A New Method to Assess Voice Pathologies according to the GRBAS Scale

BioMed Research International, Volume 2015, Issue 1, 2015., 2015
Disordered voices are frequently assessed by speech pathologists using perceptual evaluations. This might lead to problems caused by the subjective nature of the process and due to the influence of external factors which compromise the quality of the assessment. In order to increase the reliability of the evaluations, the design of automatic evaluation
Laureano Moro-Velázquez, Jorge Andrés Gómez-García, Juan Ignacio Godino-Llorente, Gustavo Andrade-Miranda, Adam Klein   +4 more
wiley   +1 more source

Fourier hyperfunctions of general type

Kyoto Journal of Mathematics, 1988
The author studies vector valued Fourier hyperfunctions valued in a complex Hilbert space \(H\) which is not necessarily separable. This is a direct generalization of the author and \textit{Sh. Nagamachi} [Proc. Japan Acad. 51, 558-561 (1975; Zbl 0333.46031) and J. Math., Tokushima Univ. 9, 1-33 (1975; Zbl 0315.46039)]. He realizes \(H\)-valued Fourier
openaire   +4 more sources

Ulam Problem for the Cosine Addition Formula in Sato Hyperfunctions

Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015
We prove the Ulam problem for the cosine addition formula in the spaces of Schwartz distributions and Sato hyperfunctions with respect to bounded distributions and bounded hyperfunctions.
Jaeyoung Chung, Soon-Yeong Chung, Yuri Latushkin   +2 more
wiley   +1 more source