Results 41 to 50 of about 44,437 (210)
Mathematical Modelling and AnalysisIn this study, a new class of the Benjamin Bona Mahony Burgers equation is introduced, which considers the distributedorder in the time variable and fractional-order space in the Caputo form in the 2D case. The 2D-modified orthonormal normalized shifted
Hais Azin, Omid Baghani, Ali Habibirad
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On a two variable class of Bernstein-Szego measures
, 2008 The one variable Bernstein-Szego theory for orthogonal polynomials on the real line is extended to a class of two variable measures. The polynomials orthonormal in the total degree ordering and the lexicographical ordering are constructed and their ...
A. Delgado +13 more
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Smooth Wavelet Approximations of Truncated Legendre Polynomials via the Jacobi Theta Function
Abstract and Applied Analysis, 2014 The family of nth order q-Legendre polynomials are introduced. They are shown to be obtainable from the Jacobi theta function and to satisfy recursion relations and multiplicatively advanced differential equations (MADEs) that are analogues of the ...
David W. Pravica +2 more
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On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 Let w(x) be the Laguerre weight function, 1 /le p < ∞, and Lpw be the space of functions f, p-th power of which is integrable with the weight function w(x) on the non-negative axis.
Gadzhimirzaev, Ramis Makhmudovich
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Orthonormal Systems in Linear Spans
, 2012 We show that any $N$-dimensional linear subspace of $L^2(\mathbb{T})$ admits an orthonormal system such that the $L^2$ norm of the square variation operator $V^2$ is as small as possible. When applied to the span of the trigonometric system, we obtain an
Chevet, Garsia, Marcus, Milman
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Results in PhysicsIn this study, the Caputo–Hadamard derivative is fittingly used to define a fractional form of the Rosenau–Hyman equation. To solve this equation, the orthonormal logarithmic Bernstein functions (BFs) are created as a suitable basis for handling this ...
M.H. Heydari +3 more
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Fractal and Fractional, 2021 Herein, we developed and analyzed a new fractal–fractional (FF) operational matrix for orthonormal normalized ultraspherical polynomials. We used this matrix to handle the FF Riccati differential equation with the new generalized Caputo FF derivative ...
Youssri Hassan Youssri
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Polynomial-Chaos-based Kriging
, 2015 Computer simulation has become the standard tool in many engineering fields for designing and optimizing systems, as well as for assessing their reliability.
Schoebi, R., Sudret, B., Wiart, J.
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Machine Learning‐Driven Variability Analysis of Process Parameters for Semiconductor Manufacturing
Advanced Intelligent Systems, EarlyView.This research presents a machine learning approach that integrates nonlinear variation decomposition (NLVD) with statistical techniques to quantify the contribution of individual unit processes to performance and variance of figure of merit (FoM) at the LOT level.
Sinyeong Kang +6 more
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