Results 11 to 20 of about 8,995,831 (132)
On the restriction of the Fourier transform to polynomial curves [PDF]
, 2007 We prove a Fourier restriction theorem on curves parametrised by the mapping P(t) = (P1(t),..., Pn(t)), where each of the P1,..., Pn is a real-valued polynomial and t belongs to an interval on which each of the P1,..., Pn "resembles" a ...
Dendrinos, S, Dendrinos, S.
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Fourier Series Related to p-Trigonometric Functions [PDF]
In this paper, we introduce the concept of generalized Fourier series, generated by the p-trigonometric functions, namely cosp and sinp, recently introduced related to the generalized complex numbers systems.
AH Alibrahim (21965408), S Das (7803908)
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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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Inequalities of Some Trigonometric Functions [PDF]
, 2003 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
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Pointwise Convergence of Multiple Trigonometric Series
, 1994 This is devoted to the study of pointwise convergence of the rectangular partial sums of multiple trigonometric series with coefficients satisfying certain conditions involving finite-order differences.
F. Moricz +5 more
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The Accuracy Smoothness Dilemma in Prediction: A Novel Multivariate M‐SSA Forecast Approach
Journal of Time Series Analysis, EarlyView.ABSTRACT Forecasting presents a complex estimation challenge, as it involves balancing multiple, often conflicting, priorities and objectives. Conventional forecast optimization methods typically emphasize a single metric, such as minimizing the mean squared error (MSE), which may neglect other crucial aspects of predictive performance. To address this
Marc Wildi
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Short‐Term CO 2$$ {}_2 $$ Emissions Forecasting: Insight From the Italian Electricity Market
Environmetrics, Volume 37, Issue 6, September 2026.ABSTRACT This study investigates the short‐term forecasting of carbon emissions from electricity generation in the Italian power market. Using hourly data from 2021 to 2023, several statistical models and forecast combination methods are evaluated and compared at the national and zonal levels.
Pierdomenico Duttilo, Francesco Lisi
wiley +1 more source
Trigonometric Interpolation Using the Discrete Fourier Transform [PDF]
, 2022 The Fourier transform (and all its versions, discrete/continuous/finite/infinite), covers deep and abstract mathematical concepts, and can easily overwhelm with detail.
Ponce Campuzano, Juan Carlos
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