AbstractIn this work the authors present some new lower and upper bounds for the functions sinx/x and x/sinhx, thus improving some inequalities put forward by Klén et al. (2010) in the paper [2]
In this paper we prove that the condition $$sum_{k=left[frac{n}{2}right]}^{2n}frac{k^{r}lambda _{k}}...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
In this paper, simple rational bounds for the functions f (x)/x or x/f (x) , where f (x) is circular...
We determine the best possible constants θ,ϑ,α and β such that the inequalities ((2+cosx)/3)^θ < sin...
AbstractShi, Liu and Hu [X. Shi, F. Liu, M. Hu, A new asymptotic series for the Gamma function, J. C...
AbstractIn this work, a general form of Jordan’s inequality: P2N(x)+aN+1(π2−4x2)N+1≤sinxx≤P2N(x)+1−∑...
AbstractIn this paper, we establish the following double exponential type Jordan’s inequality (sinrr...
Inspired by the work of Askey-Steinig, Szeg\"o, and Schweitzer, we provide several monotonicity theo...
Inspired by the work of Askey-Steinig, Szeg\"o, and Schweitzer, we provide several monotonicity theo...
AbstractWe shall weaken the conditions of monotonicity given by Chandra [J. Math. Anal. Appl. 275 (2...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
AbstractLet Gc(x)=logΓ(x)−xlogx+x−12log(2π)+12ψ(x+c)(x>0;c≥0). We prove that Ga is completely monoto...
AbstractThe aim of this paper is to refine Gurland’s formula for approximating pi. We prove the comp...
AbstractThe psi function ψ(x) is defined by ψ(x)=Γ′(x)/Γ(x), where Γ(x) is the gamma function. We gi...
In this paper we prove that the condition $$sum_{k=left[frac{n}{2}right]}^{2n}frac{k^{r}lambda _{k}}...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
In this paper, simple rational bounds for the functions f (x)/x or x/f (x) , where f (x) is circular...
We determine the best possible constants θ,ϑ,α and β such that the inequalities ((2+cosx)/3)^θ < sin...
AbstractShi, Liu and Hu [X. Shi, F. Liu, M. Hu, A new asymptotic series for the Gamma function, J. C...
AbstractIn this work, a general form of Jordan’s inequality: P2N(x)+aN+1(π2−4x2)N+1≤sinxx≤P2N(x)+1−∑...
AbstractIn this paper, we establish the following double exponential type Jordan’s inequality (sinrr...
Inspired by the work of Askey-Steinig, Szeg\"o, and Schweitzer, we provide several monotonicity theo...
Inspired by the work of Askey-Steinig, Szeg\"o, and Schweitzer, we provide several monotonicity theo...
AbstractWe shall weaken the conditions of monotonicity given by Chandra [J. Math. Anal. Appl. 275 (2...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
AbstractLet Gc(x)=logΓ(x)−xlogx+x−12log(2π)+12ψ(x+c)(x>0;c≥0). We prove that Ga is completely monoto...
AbstractThe aim of this paper is to refine Gurland’s formula for approximating pi. We prove the comp...
AbstractThe psi function ψ(x) is defined by ψ(x)=Γ′(x)/Γ(x), where Γ(x) is the gamma function. We gi...
In this paper we prove that the condition $$sum_{k=left[frac{n}{2}right]}^{2n}frac{k^{r}lambda _{k}}...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
DOI
Add to ORKG