Influence Activation Function in Approximate Periodic Functions Using Neural Networks by Luma N. M. Tawfiq, Ala K. Jabber

“… The aim of this paper is to design fast neural networks to approximate periodic functions, that is, design a fully connected networks contains links between all nodes in adjacent layers which can speed up the approximation times, reduce approximation failures, and increase possibility of obtaining the globally optimal approximation. …”
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Application of novel discrete differential operator of periodic function to study electromechanical interactions by T.J. Sobczyk, M. Radzik

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Order estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions by A.S. Serdyuk, U.Z. Hrabova

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Almost periodic and quasi-periodic functions. A brief survey and some applications by Dhaou Lassoued

Subjects: “…almost periodic functions…”
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The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions by A.M. BERSANI

Subjects: “…almost periodic functions…”
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Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces by A.S. Serdyuk, A.L. Shidlich

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On the connection between Sp-almost periodic functions defined on time scales and ℝ by Yang Hao, Li Hong-Xu

“…The purpose of this article is to extend these results to Sp{S}^{p}-almost periodic functions. We prove that the necessity is true, that is, an Sp{S}^{p}-almost periodic function on T{\mathbb{T}} can be extended to an Sp{S}^{p}-almost periodic function on R{\mathbb{R}}. …”
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An extension of the Hausdorff-Young theorem to the Besicovitch-Orlicz space of almost periodic functions by Mohamed Morsli, D. Drif

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On the Approximation of Periodic Functions in L2 and the Values of the Widths of Certain Classes of Functions by K. Tukhliev

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Advanced mathematical analysis : periodic functions and distributions, complex analysis, leplace transform and applications / by Beals, Richard, 1938-

$(\omega,c)$-periodic functions and mild solutions to abstract fractional integro-differential equations by Edgardo Alvarez, Adrián Gómez, Manuel Pinto

“…In this paper we study a new class of functions, which we call $(\omega,c)$-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. …”
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Approximation of classes of periodic functions of several variables with given majorant of mixed moduli of continuity by O.V. Fedunyk-Yaremchuk, S.B. Hembars'ka

“…In this paper, we continue the study of approximation characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers. …”
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1D and 2D finite-difference operators for periodic functions on arbitrary mesh by Tadeusz Jan Sobczyk

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Optimal quadrature formulas in the space W2​​(m,m−1) of periodic functions by Hayotov, A.R., Khayriev, U.N.

“…This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space W2​​(m,m−1) of real-valued, periodic functions. For this the extremal function of the quadrature formula is used. …”
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Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions by Olivia Saierli

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New composition theorem for weighted Stepanov-like pseudo almost periodic functions on time scales and applications by Mohssine Es-Saiydy, Mohamed Zitane

“… First, we show a new composition theorem for both Stepanov almost periodic functions and for weighted Stepanov-like pseudo almost periodic functions on time scales. …”
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Approximative characteristics of the Nikol'skii-Besov-type classes of periodic functions in the space $B_{\infty,1}$ by O.V. Fedunyk-Yaremchuk, M.V. Hembars'kyi, S.B. Hembars'ka

“…We obtained the exact order estimates of the orthowidths and similar to them approximative characteristics of the Nikol'skii-Besov-type classes $B^{\Omega}_{p,\theta}$ of periodic functions of one and several variables in the space $B_{\infty,1}$. …”
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A trapezoidal rule error bound unifying the Euler–Maclaurin formula and geometric convergence for periodic functions by Javed, M, Trefethen, L

NIPUNA: A Novel Optimizer Activation Function for Deep Neural Networks by Golla Madhu, Sandeep Kautish, Khalid Abdulaziz Alnowibet, Hossam M. Zawbaa, Ali Wagdy Mohamed

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Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions of one and several variables by O.V. Fedunyk-Yaremchuk, S.B. Hembars'ka

“…We obtained the exact order estimates of the best orthogonal trigonometric approximations of periodic functions of one and several variables from the Nikol'skii-Besov-type classes $B^{\omega}_{1,\theta}$ ($B^{\Omega}_{1,\theta}$ in the multivariate case $d\geq2$) in the space $B_{\infty,1}$. …”
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