Polynomial and trigonometric splines
CoRR, 2021 Classes of simple polynomial and simple trigonometric splines given by Fourier series are considered. It is shown that the class of simple trigonometric splines includes the class of simple polynomial splines. For some parameter values, the polynomial splines coincide with the trigonometric ones; this allows to transfer to such trigonometric splines ...
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Bending and Free Vibration Analysis of Functionally Graded Plates via Optimized Non-polynomial Higher Order Theories [PDF]
Journal of Applied and Computational Mechanics, 2019 Optimization concept in the context of shear deformation theories was born for the development of accurate models to study the bending problem of structures. The present study seeks to extend such an approach to the dynamic analysis of plates.
David Ramirez +3 more
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Rearrangements of Trigonometric Series and Trigonometric Polynomials [PDF]
Real Analysis Exchange, 2004 The paper is related to the following question of P.~L.~Ul'yanov: is it true that for any $2π$-periodic continuous function $f$ there is a uniformly convergent rearrangement of its trigonometric Fourier series? In particular, we give an affirmative answer if the absolute values of Fourier coefficients of $f$ decrease.
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Examining the possibility of short-term prediction of traffic volume in smart city control systems with the use of regression models [PDF]
International Journal of Electronics and TelecommunicationsThis article deals with issues related to the optimization of traffic management in modern cities, the so-called Smart City. In particular, the article presents the process of evolution of the traffic flow prediction model at a selected crossroads in a ...
Peweł Dymora +2 more
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Weighted inequalities for generalized polynomials with doubling weights
Journal of Inequalities and Applications, 2017 Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case 1 ≤ p < ∞ $1 \leq p < \infty$ , and by Tamás Erdélyi for 0 < p ≤ 1 $
Haewon Joung
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Reconstruction of integrated equations of periodically driven phase-locked loop system from scalar time series [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 Purpose of this work is to develop a reconstruction technique for the equations of a phase-locked loop system under periodic external driving from a scalar time series of one variable. Methods.
Sysoeva, Marina Vyacheslavovna +4 more
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A quadratic trigonometric spline for curve modeling. [PDF]
PLoS ONE, 2019 An imperative curve modeling technique has been established with a view to its applications in various disciplines of science, engineering and design. It is a new spline method using piecewise quadratic trigonometric functions.
Shamaila Samreen +2 more
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m-Isometric block Toeplitz operators
Journal of Inequalities and Applications, 2019 In this paper, we study m-isometric block Toeplitz operators with trigonometric symbols. In addition, we give a necessary and sufficient condition for block Toeplitz operators with trigonometric polynomial symbols to be m-contractive.
Eungil Ko, Jongrak Lee
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Polynomial-Exponential Bounds for Some Trigonometric and Hyperbolic Functions
Axioms, 2021 Recent advances in mathematical inequalities suggest that bounds of polynomial-exponential-type are appropriate for evaluating key trigonometric functions.
Yogesh J. Bagul +3 more
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Construction of Cubic Trigonometric Curves with an Application of Curve Modelling
Mathematics, 2022 This paper introduces new trigonometric basis functions (TBF) in polynomial and rational form with two shape parameters (SPs). Some classical characteristics, such as the partition of unity, positivity, symmetry, CHP, local control and invariance under ...
Abdul Majeed +3 more
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