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9 articles for “error bounds”
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Research ArticleOpen accessPhrase in the titleThe Existence, Uniqueness and Error Bounds of Approximation Splines Interpolation for Solving Second-Order Initial Value ProblemsAbbas Y. Al Bayati, Rostam K. Saeed, Faraidun K. Hama-SalhProblem statement: The lacunary interpolation problem, which we had investigated in this study, consisted in finding the six degree spline S(x) of deficiency four, interpolating data given on the function value and third and fifth order in the interval [0,1]. Also, an extra initial condition was prescribed on the first derivative. Other purpose of this construction was to solve the … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 8,172 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGeneralization of (0, 4) Lacunary Interpolation by Quantic SplineJwamer Karwan Hama Faraj, Ridha G. KaremProblem statement: Spline functions are the best tool of polynomials used as the basic means of approximation theory in nearly all areas of numerical analysis. Also in the problem of interpolation by g-spline construction of spline, existences, uniqueness and error bounds needed. Approach: In this study, we generalized (0,4) lacunary interpolation by quanta spline function. Results: The results obtained, the … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,310 accessesView PDFCite
Review ArticleOpen accessIn the abstractA Comprehensive Review of Post-Quantum Cryptography AlgorithmsSamandeep Kaur, Jaswinder SinghThe development of quantum computing has been rapid, and an existential threat to computational hardness assumptions that underlie today's public-key cryptography has been encountered. This manuscript is a complete and thoroughly organized review of Post-Quantum Cryptography (PQC), discussing the mathematical concepts, complexity, and mechanisms of the algorithms that underpin quantum-safe security infrastructures. Rather than the principles of quantum mechanics, the … …Journal of Computer Science, Vol. 22, Issue 9 · 25 Sep 2026 · 723 accessesView PDFCite
Research ArticleOpen accessIn the abstractWest African Emerging Economies: Comparative Insights on Ghana’s and Nigeria’s Stock Market DevelopmentFisayo Fagbemi, John Oluwasegun AjibikeThe study examines the long-run and causal relationship between stock market development and West African emerging economies in a comparative context of Ghana and Nigeria. Based on Autoregressive Distributed Lag (ARDL) bounds test approach, the findings support the evidence of long-run cointegration between stock market development and economic growth in Ghana, whereas further evidence reveals an insignificant positive long-run impact … …American Journal of Economics and Business Administration, Vol. 14, Issue 1 · 2 Dec 2022 · 6,548 accessesView PDFCite
Research ArticleOpen accessIn the abstractCoherent Polarization Shift Keying Modulated Free Space Optical Links Over a Gamma-Gamma Turbulence ChannelX. Tang, Z. Ghassemlooy, S. Rajbhandari et al.Problem statement: The optical signal propagating through the Free Space Optical (FSO) channel suffers from irradiance and phase fluctuations caused by the atmospheric turbulence, which results in Bit Error Rate (BER) performance degradation. Approach: In this study the performance of the Multilevel Coherent Polarization Shift Keying (M-POLSK) based FSO communication system operating over the gamma-gamma turbulence channel is investigated. To … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 4 · 18 Jan 2012 · 7,954 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Sixtic Lacunary Spline Solutions of Second Order Initial Value ProblemJwamer Karwan Hama FarajProblem statement: The lacunary problem, which we had investigated in this study, consider in finding the spline function of degree six S(x) of deficiency four, interpolating data given on the function value and third, forth order in the interval [0,1]. Also, on the extra initial condition was prescribed on the first derivative. Other purpose of this construction was to solve … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,763 accessesView PDFCite
Research ArticleOpen accessIn the abstractAggregate Import Demand and Expenditure Components in GhanaOteng-Abayie Eric Fosu, Frimpong Joseph MagnusThe behaviour of Ghana’s imports during the period 1970-2002 was studied using disaggregated expenditure components of total national income. We used newly developed bounds testing approach to cointegration and estimated an error correction model to separate the short- and long-run elements of the import demand relationship. The study revealed inelastic import demand for all the expenditure components and relative price. … …Journal of Social Sciences, Vol. 4, Issue 1 · 31 Mar 2008 · 7,766 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Error Correction Intuitive Approach in Quantum Communications ProtocolsAris Skander, Merabtine Nadjim, Malek BenslamaQuantum Error Correction will be necessary for preserving coherent states against noise and other unwanted interactions in quantum computation and communication. We develop a general theory of quantum error correction based on encoding states into larger Hilbert spaces subject to known interactions. We obtain necessary and sufficient conditions for the perfect recovery of an encoded state after its degradation by … …American Journal of Applied Sciences, Vol. 4, Issue 8 · 31 Aug 2007 · 6,838 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary ConditionsS. M. Al-HarbiProblem statement: Our purpose of this study is to use sinc methods to compute approximately the eigenval-ues of second-order operator pencil of the form Q-λP. Approach: Where Q is second order self adjoint differential operator and P is a first order and λ∈C is an eigenvalue parameter. Results: The eigenparameter appears in the boundary conditions linearly. Using computable error boundswe … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 29 Jan 2011 · 6,826 accessesView PDFCite