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61 articles for “Generalized Function”
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Research ArticleOpen accessPhrase in the titleOne Algebra of New Generalized FunctionsSabra RamadanThe space of new Generalized functions ζ (Π(R)) has been constructed. The operation of associative multiplication Θ has been defined on ζ (Π(R)).The embedding Jπ : ζ(S(R))→ ζ( (R)) has been constructed. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 7,121 accessesView PDFCite
Research ArticleOpen accessIn the keywordsUnivariate Generalized Additive Models for Simulated Stationary and Non-Stationary Generalized Pareto DistributionMostafa Behzadi, Mohd Bakri Adam, Anwar FitriantoGeneralized additive models as a predictor in regression approaches, are made up over cubic spline basis and penalized regression splines. Despite of linear predictor in GLM, generalized additive models use a sum of smooth functions of covariates as a predictor. The data which are used in this study have generalized Pareto distribution and have been simulated by inversion method. The … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 3 Jun 2017 · 7,434 accessesView PDFCite
Research ArticleOpen accessIn the keywordsON THE PRODUCT AND RATIO OF TWO GENERALIZED ORDER STATISTICS FROM THE GENERALIZED BURR TYPE-II DISTRIBUTIONMohamed MaswadahIn this study, the probability density functions of the product and quotient of two generalized order statistics from the generalized Burr Type-XII distribution have been derived, using the Mellin transform and its inverse. Several interesting special cases have also been obtained such as the product and quotient of extreme generalized order statistics and the product and quotient of consecutive generalized … …Journal of Mathematics and Statistics, Vol. 9, Issue 2 · 10 May 2013 · 6,892 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn Parametric p-Valent Meromorphic FunctionsPoonam SharmaProblem statement: In this research, we studied parametric p-valent meromorphic functions Pαf by considering two classes Mαp (β) and Mαp (λ,A) . Approach: With the help of Jack’s Lemma an inclusion relation for the class Mαp was obtained and it is shown that this class is closed by an integral operator Ic. Results: A subordination result for the class Mαp … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,039 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Extended Laplace TransformSabra RamadanThe space of new generalized functions has been constructed. The operation of associative multiplication has been defined on this space. The Extended Laplace Transform has been defined. …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,071 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Probability Density Function of the Test Statistic for One Nonlinear GLR Detector Arising from fMRIFangyuan NanRecently an important and interesting nonlinear generalized likelihood ratio (GLR) detector emerged in functional magnetic resonance imaging (fMRI) data processing. However, the study of that detector is incomplete: the probability density function (pdf) of the test statistic was draw from numerical simulations without much theoretical support and is therefore, not firmly grounded. This correspondence presents more accurate (asymptotic) closed form … …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 7,108 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSolutions of the Duffing and Painlevé-Gambier Equations by Generalized Sundman TransformationDamien Kolawolé Kêgnidé Adjaï, Lucas Hervé Koudahoun, Jean Akande et al.A new approach using the generalized Sundman transformation to solve explicitly and exactly in a straightforward manner the cubic elliptic Duffing equation is proposed in this study. The method has the advantage to closely relate this equation to the linear harmonic oscillator equation and to be applied to solve other nonlinear differential equations. As a result, explicit and exact general … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 8 Nov 2018 · 7,255 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn Generalized Some (p, q)-Special PolynomialsUgur Duran, Mehmet Acikgoz, Serkan AraciIn this study, we introduce a new class of generalized (p, q)-Bernoulli, (p, q)-Euler and (p, q)-Genocchi polynomials and investigate their some properties. We derive (p, q)-generalizations of some familiar formulae belonging to classical Bernoulli, Euler and Genocchi polynomials. We also obtain a (p, q)-extension of the Srivastava-Pintér addition theorem. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 18 May 2018 · 7,440 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAn Approach to Develop a Dynamic Job Shop Scheduling by Fuzzy Rule Based System and Comparative Study with the Traditional Priority RulesRamin Ahmed, Md. Muzahid Khan, Md. Hasibul Haque, Md. Hasibur RahmanThis paper aims at developing a dynamic job shop scheduling by establishing fuzzy rule based system and comparing its effectiveness with the traditional priority rules. In order to understand the priorities of different jobs in a job shop, the paper investigates all the contributing criteria of different parameters. Since the traditional priority rules only emphasis on a single parameter at … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 2 · 11 Feb 2016 · 8,373 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Evolution Framework for Evaluating Intelligent Spectrum Sensing Mechanisms in Cognitive RadioArchana Krishnamuthy, Sudhindra Kumbhashi RajgopalCognitive radio technology has advanced to address the challenge of limited spectrum availability by employing spectrum sensing techniques. This process is framed as a detection problem involving two core hypotheses: Hypo-0 and Hypo-1. Hypo-0 represents the scenario where only noise is present, and its modeling depends on parameters such as the number of observed samples, the timing of signal acquisition, … …Journal of Computer Science, Vol. 21, Issue 8 · 4 Sep 2025 · 5,811 accessesView PDFCite