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About some exponential inequalities related to the sinc function [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents and inequalities with certain polynomial exponents. Also, we establish intervals in which these inequalities hold.
Marija Rašajski +2 more
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A Lower Bound on the Sinc Function and Its Application [PDF]
The Scientific World Journal, 2014 A lower bound on the sinc function is given. Application for the sequence bnn=1∞ which related to Carleman inequality is given as well.
Yue Hu, Cristinel Mortici
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A Sinc Function Analogue of Chebfun [PDF]
SIAM Journal of Scientific Computing, 2011 Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. Here an analogous system is described based on sinc function expansions instead of Chebyshev series.
Lloyd Trefethen
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Polynomial function and derivative approximation of Sinc data
Journal of Complexity, 2009 Sinc methods consist of a family of one-dimensional approximation procedures for approximating the operations of calculus. These procedures are obtained by operating on the sinc interpolation formulae, which are based on the function values in the sinc points. Usually, these operations yield high accuracy.
Frank Stenger
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Fourier series for zeta function via Sinc
Linear Algebra and Its Applications, 2008 AbstractIn this paper we derive some Fourier series and Fourier polynomial approximations to a function F which has the same zeros as the zeta function, ζ(z) on the strip {z∈C ...
Frank Stenger
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Fractal and Fractional, 2021 We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation, a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are exact methods of inverse Laplace transforms which allow us a numerical ...
Gerd Baumann
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Remote Sensing, 2021 In this paper, we consider a new method for forest canopy height estimation using TanDEM-X single-pass radar interferometry. We exploit available information from sample-based, space-borne LiDAR systems, such as the Global Ecosystem Dynamics ...
Hao Chen +2 more
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Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions
Annales Mathematicae Silesianae, 2022 Abstract Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended. Hyperbolic versions are also established, along with extensions.
Yogesh J. Bagul +3 more
openaire +3 more sources
Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations
Algorithms, 2022 We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the
Omar Khalil +3 more
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Axioms, 2023 For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
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