Arbitrarily accurate spline based approximations for the hyperbolic tangent function and applications

DOI10.1007/s40819-021-01088-1OpenAlexW3202169376WikidataQ114218628 ScholiaQ114218628MaRDI QIDQ2114433

Roy M. Howard

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01088-1

zbMATH Keywords

Laplace transformspline approximationsecond order systemcomb filterintegral approximationhyperbolic tangentCatalan's constantharmonic distortion

Mathematics Subject Classification ID

Laplace transform (44A10) Spline approximation (41A15) Monotonic functions, generalizations (26A48) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Elementary functions (26A09) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)

Uses Software

• DLMF

Cites Work

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• Six new Redheffer-type inequalities for circular and hyperbolic functions
• The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
• Refinements of certain hyperbolic inequalities via the Padé approximation method
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• New trigonometric and hyperbolic inequalities
• Enter, Stage Center: The Early Drama of the Hyperbolic Functions
• Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions

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