Results 21 to 30 of about 584,030 (179)
Boundedness of approximate trigonometric functions
Applied Mathematics Letters, 2009 \textit{J. A. Baker} [Proc. Am. Math. Soc. 80, 411--416 (1980; Zbl 0448.39003)] and \textit{W. P. Cholewa} [Proc. Am. Math. Soc. 88, 631--634 (1983; Zbl 0547.39003)] investigated the stability of the cosine functional equation and sine functional equation, respectively. In this paper the authors consider the following functional inequality \[ |f(x+y)-f(
Gwang Hui Kim, Young Whan Lee
openaire +2 more sources
Modified Fourier expansions: theory, construction and applications [PDF]
, 2010 Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation, and ...
core +2 more sources
Ansatz and Averaging Methods for Modeling the (Un)Conserved Complex Duffing Oscillators
Mathematics, 2023 In this study, both the ansatz and averaging methods are carried out for analyzing the complex Duffing oscillators including the undamped/conserved complex Duffing oscillator (CDO) and the damped/unconserved CDO to obtain some approximate analytical ...
Weaam Alhejaili +2 more
doaj +1 more source
Best multiplier Approximation in L_(p,∅_n ) (B)
Al-Mustansiriyah Journal of Science, 2019 The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy +2 more
doaj +1 more source
Trigonometric approximation in the norms and seminorm [PDF]
Studia Mathematica, 1984 There are proved four theorems on approximation by trigonometric polynomials of some periodic functions and their Weyl derivatives. Estimates obtained here can be treated as generalizations of the results of \textit{T. Ganelius} [Math. Scand. 4, 247-258 (1957; Zbl 0077.070)] and \textit{V. A. Popov} [C. R. Acad. Bulg. Sci. 32, 1319-1322 (1979; Zbl 0439.
openaire +1 more source
Inequalities of Some Trigonometric Functions [PDF]
, 2003 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
core +6 more sources
Padé approximant related to remarkable inequalities involving trigonometric functions
Journal of Inequalities and Applications, 2016 In this paper we, respectively, give simple proofs of some remarkable trigonometric inequalities, based on the Padé approximation method. We also obtain rational refinements of these inequalities.
Gabriel Bercu
doaj +1 more source
On approximation processes defined by a cosine operator function; pp 214–224 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 In this paper we introduce the Blackman- and Rogosinski-type approximation processes in an abstract Banach space setting. The historical roots of these processes go back to W. W. Rogosinski in 1926.
Andi Kivinukk, Anna Saksa, Maria Zeltser
doaj +1 more source
Algorithms for trigonometric polynomial and rational approximation [PDF]
, 2016 This thesis presents new numerical algorithms for approximating functions by trigonometric polynomials and trigonometric rational functions. We begin by reviewing trigonometric polynomial interpolation and the barycentric formula for trigonometric ...
Mohsin Javed, Javed, Mohsin
core +1 more source
Positive Data Visualization Using Trigonometric Function
Journal of Applied Mathematics, 2012 A piecewise rational trigonometric cubic function with four shape parameters has been constructed to address the problem of visualizing positive data.
Farheen Ibraheem +3 more
doaj +1 more source