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8 articles for “generalized integral”
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Research ArticleOpen accessPhrase in the titleGeneralized Cauchy's Models and Generalized IntegralsSabra RamadanThe space of generalized complex numbers C* has been constructed. The Cachy's model in the space of new generalized functions is well defined. The generalized integral of new generalized function over the compact K has been defined. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 6,659 accessesView PDFCite
Research ArticleOpen accessIn the abstractLogic and the Mathematic Model of the Subject-Area Description for Corporate Information SystemsKonstantin Yurievich Maslenikov, Georgiy Ivanovich RevunkovAiming to build and receive a logic-mathematical substantiation and model of the process of constructing the description of any subject area for corporate information systems, the authors divided the subject area for building the system into constituent elements and the relationships between them. Using discrete mathematics methods to the graphs and two-seater predicates of the first order, we built an … …Journal of Computer Science, Vol. 18, Issue 1 · 2 Feb 2022 · 6,580 accessesView PDFCite
Research ArticleOpen accessIn the abstractAccessing the Appropriateness of a Spatial Regression Using Generalized (h1h2-)Slepian Random FieldWayan Somayasa, Jamhir Safani, La Ode Ngkoimani, Muhamad Zamrun F.In this study we derived asymptotic goodness-of-fit test (model check) for spatial regression where the critical region as well as the p-value of the tests are approximated based on the distribution of a type of the integral functional of the generalized (h1h2-)-Slepian field and the set-indexed Gaussian white noise. Such random fields are obtained as the limit process of the … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 2 May 2017 · 7,362 accessesView PDFCite
Research ArticleOpen accessIn the abstractHilbert-Type Inequalities RevisitedWaleed AbuelelaConsidering different parameters, Hilbert-type integral inequality for functions f(x), g(x) in L2[0, ∞) will be generalized. …Journal of Mathematics and Statistics, Vol. 12, Issue 2 · 28 Apr 2016 · 7,085 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn 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 · 7,033 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual MethodElayaraja Aruchunan, Jumat SulaimanProblem statement: This research purposely brought up to solve complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and others. Many physical phenomena contain mathematical formulations such integro-differential equations which are arise in fluid dynamics, biological models and chemical kinetics. In fact, several formulations and numerical solutions of the linear Fredholm integro-differential equation of second … …American Journal of Applied Sciences, Vol. 7, Issue 6 · 30 Jun 2010 · 8,198 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn 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 · 7,106 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordThe Solution to Some Hypersingular Integral EquationsAlexander G. RammGel’fand, I. M., & Shilov, G. E. (1964). Generalized Functions. Volume I: Properties and Operations (1st ed., Vol. 1). Academic Press. Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I (1st ed.). Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96750-4 Ramm, A. G. (2022). The Navier-Stokes Problem (2nd ed.). Springer Nature. Ramm, A. G. (2023). Analysis of the Navier-Stokes problem (2nd ed.). … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 25 May 2024 · 5,683 accessesView PDFCite