Add to ORKGUsing Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities involving sums and multiplications of cosine
Inspired by the work of Askey-Steinig, Szeg\"o, and Schweitzer, we provide several monotonicity theo...
Abstract The main purpose of this paper is, using some properties of the Chebyshev polynomials, to s...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
Using Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities i...
We provide a combinatorial proof of the trigonometric identity cos(nθ) = Tncos(θ),where Tn is the Ch...
Chebyshev polynomials have several elegant combinatorial interpretations. Specificially, the Chebysh...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we give closed formulas for a ...
In the paper, the authors find several accurate approximations of some cosine power sums and present...
AbstractTrigonometric sums over the angles equally distributed on the upper half plane are investiga...
summary:We prove: If $$ \frac 12+\sum_{k=1}^{n}a_k(n)\cos (kx)\geq 0 \text{ for all } x\in [0,2\pi )...
We prove that for any even algebraic polynomial $p$ one can find a cosine polynomial with an arbitra...
AbstractWe prove that ifa0,a1,…,anare real numbers, then∫0π|12a0+∑k=1nakcos(kx)|dx/∫0π|12+∑k=1ncos(k...
We present several new inequalities for trigonometric sums. Among others, we show that the inequalit...
We show that identities involving trigonometric sums recently proved by Harshitha, Vasuki and Yathir...
In this short note, we give simple proofs of several results and conjectures formulated by Stolarsky...
Inspired by the work of Askey-Steinig, Szeg\"o, and Schweitzer, we provide several monotonicity theo...
Abstract The main purpose of this paper is, using some properties of the Chebyshev polynomials, to s...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
Using Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities i...
We provide a combinatorial proof of the trigonometric identity cos(nθ) = Tncos(θ),where Tn is the Ch...
Chebyshev polynomials have several elegant combinatorial interpretations. Specificially, the Chebysh...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we give closed formulas for a ...
In the paper, the authors find several accurate approximations of some cosine power sums and present...
AbstractTrigonometric sums over the angles equally distributed on the upper half plane are investiga...
summary:We prove: If $$ \frac 12+\sum_{k=1}^{n}a_k(n)\cos (kx)\geq 0 \text{ for all } x\in [0,2\pi )...
We prove that for any even algebraic polynomial $p$ one can find a cosine polynomial with an arbitra...
AbstractWe prove that ifa0,a1,…,anare real numbers, then∫0π|12a0+∑k=1nakcos(kx)|dx/∫0π|12+∑k=1ncos(k...
We present several new inequalities for trigonometric sums. Among others, we show that the inequalit...
We show that identities involving trigonometric sums recently proved by Harshitha, Vasuki and Yathir...
In this short note, we give simple proofs of several results and conjectures formulated by Stolarsky...
Inspired by the work of Askey-Steinig, Szeg\"o, and Schweitzer, we provide several monotonicity theo...
Abstract The main purpose of this paper is, using some properties of the Chebyshev polynomials, to s...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...