Some new inequalities for certain trigonometric polynomials with complex semiconvex and complex convex coefficients are given.

With the notation K := R (mod 2π),

The generalized p-trigonometric and (p, q)-trigonometric functions were introduced by P. Lindqvist and S. Takeuchi, respectively. We prove some inequalities and present a few conjectures for the (p, q)-functions. 2010 Mathematics Subject Classification: 33C99, 33B99

In this article, we give several integrability formulas of special and composite functions including trigonometric function, inverse trigonometric function, hyperbolic function and logarithmic function. The notation and terminology used here are introduced in the following papers:

In this paper we obtain the conditions for L-convergence of the r-th derivatives of the cosine and sine trigonometric series. These results are extensions of corresponding Sidon’s and Telyakovskii’s theorems for trigonometric series (case: r = 0).

Fakta menunjukkan kesulitan dalam belajar geometri di universitas yaitu menentukan fungsi Trigonometri untuk sudut negatif atau lebih besar dari 90 derajat, dan menerjemahkan beberapa representasi Trigonometri. Masalah yang melibatkan kemampuan berpikir dapat diselesaikan dengan menampilkan perekayasaan informasi gambar, diagram animasi. Salah satu media menstimulasi adalah PhET Simulation. Med...

We show that, under Drinfeld’s degeneration [D] of quantum loop algebras to Yangians, the trigonometric dynamical difference equations [EV] for the quantum affine algebra degenerate to the trigonometric Casimir differential equations [TL] for Yangians.

The symmetric-convolution multiplication (SCM) property of discrete trigonometric transforms (DTTs) based on unitary transform matrices is developed. Then as the reciprocity of this property, the novel multiplication symmetric-convolution (MSC) property of discrete trigonometric transforms, is developed.

We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being polynomials degree at most μ≥1 in variables θ and Bn(θ)≢0. also A(θ)yn−1y′=B0(θ)+Bn(θ)yn A,B0,Bn variable For first equation, we show that when n≥4, it has 3 solutions n is even 5 odd. second n≥3, odd even. provide two types mentioned above maximum number achieved. The pr...

the processes of cultural transformation in britain in the second half of the 20th century, the fall of the empire, immigration from former colonies and the expansion of the multiculturalism, have influenced new ways of looking at the conceptions of identity of diasporic subjects within britain. examining these experiences, diasporic novelists write about the second generation immigrants in con...