Trigonometric functions of nonlinear quantities [PDF]
, 1994 Trigonometric functions of nonlinear quantities are introduced. Functions of the form {line_integral}(x{sup a}), {line_integral}(x{sup y}), and {line_integral}{sup n}(x{sup a}) are reported, where {line_integral} is a trigonometric function such as cos ...
Wester, D. W.
core +1 more source
Extension of Oppenheim's Problem to Bessel Functions
Journal of Inequalities and Applications, 2008 Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
doaj +1 more source
Algebraic values of trigonometric functions of inverse trigonometric functions [PDF]
, 2016 This Demonstration generates expressions of the form f(n g(mx)) where f is a trigonometric function, g is an inverse trigonometric function, and m and n are integers can be expressed as algebraic, or even sometimes rational functions of xComponente ...
Trott, Michael
core +2 more sources
Classification of errors in determining trigonometry function values at standard positions
Journal of Research and Advances in Mathematics Education, 2023 One of the important materials to study in a trigonometry course is the value of trigonometric functions in standard positions. However, the results of preliminary research show that there are still many first semester students who experience errors in ...
Yayan Eryk Setiawan Setiawan, Sunardi
doaj +1 more source
Approximation of classes B^ω_p,θ of periodic functions of several variables by polynomials with spectrum from cubic areas (in Ukrainian) [PDF]
Математичні Студії, 2011 We have obtained exact order estimates for error of approximation of classes B^ω_p,θ of periodic functions of several variables by trigonometric polynomials with spectrum from cubic areas.
S. A. Stasyuk
doaj
k-Fractional trigonometric functions [PDF]
, 2014 Based on the k-Mittag-Lefler function and the k-α-Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some ...
Cerutti, Ruben Alejandro +1 more
core +1 more source
An Elementary Solution to a Duffing Equation
The Scientific World Journal, 2022 In this work, we study the Duffing equation. Analytical solution for undamped and unforced case is provided for any given arbitrary initial conditions.
Alvaro H. Salas
doaj +1 more source
Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading
Advanced Engineering Materials, EarlyView.This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev +2 more
wiley +1 more source
On New Proofs of Inequalities Involving Trigonometric Functions [PDF]
, 2000 In the note, some new proofs for inequalities invoving trigonometric functions are ...
Qi, Feng +3 more
core
New Interaction Solutions for a (2 + 1)-Dimensional Vakhnenko Equation
Complexity, 2020 In this paper, we focus on the interaction solutions of a (2 + 1)-dimensional Vakhnenko equation. By using Hirota’s transformation combined with the three-wave method and with symbolic computation, some interaction solutions which include interaction ...
Qing Meng, Bin He
doaj +1 more source