Results 11 to 20 of about 4,157,742 (220)
On Closed Forms of Some Trigonometric Series [PDF]
AxiomsWe have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denominator with a positive integer gives rise to a singularity.
Slobodan B. Tričković +1 more
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Integrability of trigonometric series with generalized semi-convex coefficients [PDF]
Opuscula Mathematica, 2012 In this paper we deal with cosine and sine trigonometric series with generalized semi-convex coefficients. Integrability conditions for them are obtained.
Xhevat Z. Krasniqi
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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
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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
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Extended Levett trigonometric series [PDF]
, 2023 An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3.
Reynolds, Robert
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The multipliers of multiple trigonometric Fourier series
Open Engineering, 2016 We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier
Ydyrys Aizhan +2 more
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Integrability of trigonometric series III [PDF]
Bulletin of the Australian Mathematical Society, 1971 Ralph P. Boas, Jr, proved the following theorem: Let g be an odd function, integrable on (0, π) and periodic with period 2π, and its Fourier series be Σ bn sinnt. If 0 < r < 1 and bn ≥ 0 b > for all n, then t−rg(t) ∈ L(0, π) if and only if the series Σ bn/n1−r converges. Philip Heywood asked whether the conditions g(t) ∈ L(0, π) and bn ≥ 0 can
Izumi, Masako, Izumi, Shin-ichi
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Equilibrium internal fractures in elastic bodies supported by thin flexible coatings
Вестник Дагестанского государственного технического университета: Технические науки, 2020 Objective. In this paper, the authors study problems of a plane strain of elastic bodies containing internal rectilinear fractures. In each case, the margins of the considered areas are supported by thin flexible coatings.
B. V. Sobol +3 more
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On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva +3 more
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Trigonometric Series with Gaps [PDF]
Indiana University Mathematics Journal, 1960 Es sei \(E\) eine nicht-leere Menge ganzer Zahlen. Eine Funktion \(f\in L_1 (-\pi,\pi)\) (trigonometrisches Polynom) heiße \(E\)-Funktion [\(E\)-Polynom], wenn die Fourierkoeffizienten \[ \hat{f}(n)=\frac{1}{2\pi}\int_{-\pi}^{\pi} f(t) \exp (int) dt \] für \(n\notin E\) null sind.
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