Results 31 to 40 of about 11,999,664 (286)

Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

open access: yesAnnales 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

An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

open access: yesAxioms, 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
doaj   +1 more source

Function classes for successful DE-Sinc approximations [PDF]

open access: yesMathematics of Computation, 2008
The DE-Sinc formulas, resulting from a combination of the Sinc approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In many cases they are more efficient than the SE-Sinc formulas, which are the Sinc approximation formulas combined with the single exponential (SE ...
Ken'ichiro Tanaka   +2 more
openaire   +1 more source

Enhancing the Anti-Dispersion Capability of the AO-OFDM System via a Well-Designed Optical Filter at the Transmitter

open access: yesPhotonics, 2023
This paper proposes a novel method to improve the anti-dispersion ability of the all-optical orthogonal frequency division multiplexing (AO-OFDM) system.
Kai Lv   +7 more
doaj   +1 more source

Accelerating the computation for real-time application of the sinc function using graphics processing units

open access: yesJournal of Analytical Science and Technology, 2020
In magnetic resonance imaging, the fidelity of image reconstruction is an important criterion. It has been suggested that the infinite-extent sinc kernel is the ideal interpolation kernel for ensuring the reconstruction quality of non-Cartesian ...
Sangwoo Kim, Chulhyun Lee
doaj   +1 more source

Theory and Computations for the Nonlinear Burgers’ Equation via the Use of Sinc-Galerkin Method

open access: yesJournal of Electrical and Computer Engineering, 2022
In this research, Burgers’ equation, which is well known to be nonlinear partial differential equation, has many applications for studying some physical phenomena in the disciplines we mention, water waves, plasma waves, and ion acoustic plasma waves ...
Anwar Al-Momani, Kamel Al-Khaled
doaj   +1 more source

Sinc Numeric Methods for Fox-H, Aleph (), and Saxena-I Functions

open access: yesFractal and Fractional, 2022
The purpose of this study is to offer a systematic, unified approach to the Mellin-Barnes integrals and associated special functions as Fox H, Aleph ℵ, and Saxena I function, encompassing the fundamental features and important conclusions under natural ...
Gerd Baumann, Norbert Südland
doaj   +1 more source

Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
An important equation usually used in modeling neuronal dynamics is cable equation. In this work, a numerical method for the fractional cable equation which involves two Riemann-Liouville fractional derivatives is proposed. Our computational technique is
Nasrin Moshtaghi, Abbas Saadatmandi
doaj   +1 more source

Numerical computing approach for solving Hunter-Saxton equation arising in liquid crystal model through sinc collocation method

open access: yesHeliyon, 2021
In this study, numerical treatment of liquid crystal model described through Hunter-Saxton equation (HSE) has been presented by sinc collocation technique through theta weighted scheme due to its enormous applications including, defects, phase diagrams ...
Iftikhar Ahmad   +5 more
doaj   +1 more source

A signal theory approach to support vector classification: the sinc kernel [PDF]

open access: yes, 2009
Fourier-based regularisation is considered for the support vector machine classification problem over absolutely integrable loss functions. By invoking the modest assumption that the decision function belongs to a Paley–Wiener space, it is shown that the
Nelso, James D.B.   +3 more
core   +1 more source

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