In the paper, the authors find several accurate approximations of some cosine power sums and present an asymptotic formula for these cosine power sums
AbstractThe complete asymptotic expansion of power means in terms of Bell polynomials is obtained. S...
AbstractWe give an evaluation of a trigonometrical sum which plays a key role in a proof by H. Minc ...
AbstractThe aim of this paper is to give the asymptotic expansion of the coefficients in the Chebysh...
In the paper, the authors find several accurate approximations of some cosine power sums and present...
Using Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities i...
© 2018 Fibonacci Association. All rights reserved. In this paper, we define 12 families of finite su...
We present several new inequalities for trigonometric sums. Among others, we show that the inequalit...
summary:We prove: If $$ \frac 12+\sum_{k=1}^{n}a_k(n)\cos (kx)\geq 0 \text{ for all } x\in [0,2\pi )...
AbstractWe discuss the numerical computation of the cosine lemniscate function and its inverse, the ...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we give closed formulas for a ...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
AbstractWe prove that ifa0,a1,…,anare real numbers, then∫0π|12a0+∑k=1nakcos(kx)|dx/∫0π|12+∑k=1ncos(k...
As an application of Faulhaber’s theorem on sums of powers of integers and the associated Faulhaber...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
AbstractWe obtain a representation formula for the trigonometric sum f(m, n)≔ ∑m−1a=1|sin(πan/m)|sin...
AbstractThe complete asymptotic expansion of power means in terms of Bell polynomials is obtained. S...
AbstractWe give an evaluation of a trigonometrical sum which plays a key role in a proof by H. Minc ...
AbstractThe aim of this paper is to give the asymptotic expansion of the coefficients in the Chebysh...
In the paper, the authors find several accurate approximations of some cosine power sums and present...
Using Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities i...
© 2018 Fibonacci Association. All rights reserved. In this paper, we define 12 families of finite su...
We present several new inequalities for trigonometric sums. Among others, we show that the inequalit...
summary:We prove: If $$ \frac 12+\sum_{k=1}^{n}a_k(n)\cos (kx)\geq 0 \text{ for all } x\in [0,2\pi )...
AbstractWe discuss the numerical computation of the cosine lemniscate function and its inverse, the ...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we give closed formulas for a ...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
AbstractWe prove that ifa0,a1,…,anare real numbers, then∫0π|12a0+∑k=1nakcos(kx)|dx/∫0π|12+∑k=1ncos(k...
As an application of Faulhaber’s theorem on sums of powers of integers and the associated Faulhaber...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
AbstractWe obtain a representation formula for the trigonometric sum f(m, n)≔ ∑m−1a=1|sin(πan/m)|sin...
AbstractThe complete asymptotic expansion of power means in terms of Bell polynomials is obtained. S...
AbstractWe give an evaluation of a trigonometrical sum which plays a key role in a proof by H. Minc ...
AbstractThe aim of this paper is to give the asymptotic expansion of the coefficients in the Chebysh...
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