Results 21 to 30 of about 4,805,496 (293)
Fourier Series Formalization in ACL2(r) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 We formalize some basic properties of Fourier series in the logic of ACL2(r), which is a variant of ACL2 that supports reasoning about the real and complex numbers by way of non-standard analysis.
Cuong K. Chau +2 more
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Alternative Method to Estimate the Fourier Expansions and Its Rate of Change
Mathematics, 2022 This paper presents a methodology to obtain the Fourier coefficients (FCs) and the derivative Fourier coefficients (DFCs) from an input signal. Based on the Taylor series that approximates the input signal into a trigonometric signal model through the ...
Johnny Rodríguez-Maldonado +2 more
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Matrix Summability of Walsh–Fourier Series
Mathematics, 2022 The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
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Modified Fourier expansions: theory, construction and applications [PDF]
, 2010 Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation, and ...
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Journal of Kufa for Mathematics and Computer, 2013 In this paper , we introduced a new subclass  which consists of analytic and valent functions with negative coefficients in the unit disk defined by integral operator .
Rafid Habib Buti
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On the Nonconvergence of Fourier Series [PDF]
Proceedings of the American Mathematical Society, 1958 and (ii)' an K log n/n, for some K>0, then the series (1.1), at t=0, converges. Wang [2] has also framed examples showing that k in condition (i) of Theorem A cannot be replaced by any k'
openaire +1 more source
Fourier Series Approximation in Besov Spaces
Journal of Mathematics, 2023 Defined on the top of classical Lp-spaces, the Besov spaces of periodic functions are good at encoding the smoothness properties of their elements.
Birendra Singh, Uaday Singh
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Weak behaviour of Fourier-Jacobi series [PDF]
, 1990 Necessary conditions for the weak convergence of Fourier series in orthogonal polynomials are given. It is shown that the partial sum operator associated with the Jacobi series is of restricted weak type, but not of weak type, for the endpoints of the ...
Guadalupe, J., Pérez, M., Varona, J.L.
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Reactive loading function on tunnel excavation contour in rock mass [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2003 Investigation of the stress field around the cavity that is loaded or partially loaded at the inner surface by the rotationally symmetric loading is still the contemporary problem in the theory of elasticity.
Lukić Dragan, Anagnosti Petar
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Estimates for commutators of orthogonal fourier series [PDF]
, 1996 In this paper we study weighted norm inequalities for the commutators [b, Sn] where b is a BMO function and Sn denotes the nth partial sum of the Fourier series relative to a system of orthogonal polynomials on [-1, 1] with respect to general weights ...
Guadalupe, J.J. +2 more
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