Results 11 to 20 of about 11,946 (250)
Sharp Inequalities for Trigonometric Functions [PDF]
Abstract and Applied Analysis, 2014 We establish several sharp inequalities for trigonometric functions and present their corresponding inequalities for bivariate means.
Zhen-Hang Yang +3 more
doaj +2 more sources
p-Trigonometric and p-Hyperbolic Functions in Complex Domain [PDF]
Abstract and Applied Analysis, 2016 We study extension of p-trigonometric functions sinp and cosp and of p-hyperbolic functions sinhp and coshp to complex domain. Our aim is to answer the question under what conditions on p these functions satisfy well-known relations for usual ...
Petr Girg, Lukáš Kotrla
doaj +2 more sources
Convexity properties of generalized trigonometric and hyperbolic functions [PDF]
Aequationes Mathematicae, 2013 We study the power mean inequality for generalized trigonometric and hyperbolic functions with two parameters. The generalized p-trigonometric and (p, q)-trigonometric functions were introduced by Lindqvist and Takeuchi ...
Barkat Bhayo, Riku Klen, Arpad Baricz
exaly +2 more sources
On generalized trigonometric functions with two parameters [PDF]
Journal of Approximation Theory, 2012 The generalized p-trigonometric and (p,q)-trigonometric functions were introduced by P. Lindqvist and S. Takeuchi, respectively.
Barkat Bhayo, Matti Vuorinen
exaly +2 more sources
Properties of generalized trigonometric functions [PDF]
Journal of Approximation Theory, 2012 Various properties of the generalized trigonometric functions sinp,q are established.
Petr Gurka, David Edmunds, Jan Lang
exaly +2 more sources
Trigonometric Approximations for Some Bessel Functions [PDF]
Active and Passive Electronic Components, 1999 Formulas are obtained for approximating the tabulated Bessel functions Jn(x), n = 0–9 in terms of trigonometric functions. These formulas can be easily integrated and differentiated and are convenient for personal computers and pocket calculators.
Muhammad Taher Abuelma'atti
doaj +2 more sources
High accuracy trigonometric approximations of the real Bessel functions of the first kind [PDF]
, 2020 We construct high accuracy trigonometric interpolants from equidistant evaluations of the Bessel functions $J_n(x)$ of the first kind and integer order. The trigonometric models are cosine or sine based depending on whether the Bessel function is even or
Wu, Min +3 more
core +1 more source
Approximation on the regular hexagon
Journal of Numerical Analysis and Approximation Theory, 2020 The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
doaj +7 more sources
A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums [PDF]
, 2022 I reconsider the approximation of Bessel functions with finite sums of trigonometric functions, in the light of recent evaluations of Neumann-Bessel series with trigonometric coefficients.
Luca Guido MOLİNARİ +1 more
core +4 more sources
SOME WAYS OF SOLVING TRIGONOMETRIC EQUATIONS IN SECONDARY SCHOOL [PDF]
Vestnik Issyk-Kulʹskogo universitetaThe scientific article discusses methods for solving trigonometric equations in the high school mathematics course. Trigonometric equations are one of the most important topics in high school mathematics.
Nazarbaeva M. T. +2 more
doaj +1 more source