AbstractWe prove that the following Turán-type inequality holds for Euler's gamma function. For all odd integers n⩾1 and real numbers x>0 we haveα⩽Γ(n−1)(x)Γ(n+1)(x)−Γ(n)(x)2, with the best possible constantα=min1.5⩽x⩽2Γ(x)2ψ′(x)=0.6359…
AbstractUsing Hayashi’s inequality, an Iyengar type inequality for functions with bounded second der...
AbstractThe constants of Landau and Lebesgue are defined for all integers n⩾0 byGn=∑k=0n116k2kk2andL...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractLet ζ be the Riemann zeta function and δ(x)=1/(2x-1). For all x>0 we have(1-δ(x))ζ(x)+αδ(x)<...
AbstractWe present several inequalities forfa(x)=Γ(a,x)Γ(a,0)(a>0,x⩾0), where Γ(a,x) is the incomple...
AbstractLet Γ(x) denote Euler's gamma function. The following inequality is proved: for y>0 and x>1 ...
AbstractIn this paper some new inequalities for the Čebyšev functional are presented. They have appl...
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...
AbstractIn this paper, we prove that for x+y>0 and y+1>0 the inequality [Γ(x+y+1)/Γ(y+1)]1/x[Γ(x+y+2...
An inequality involving the Euler gamma function is presented. This result generalizes several recen...
AbstractWe prove sharp inequalities for arbitrary complex vectors and weights generated by the gamma...
AbstractIn this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex ...
AbstractLet Bpn denote the unit ball in ℓpn with p⩾1. We prove that Voln−1(H∩Bpn)⩾(Voln(Bpn))(n−1)/n...
We deduce an inequality using elementary methods which makes it possible to prove a conjecture reg...
AbstractUsing Hayashi’s inequality, an Iyengar type inequality for functions with bounded second der...
AbstractThe constants of Landau and Lebesgue are defined for all integers n⩾0 byGn=∑k=0n116k2kk2andL...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractLet ζ be the Riemann zeta function and δ(x)=1/(2x-1). For all x>0 we have(1-δ(x))ζ(x)+αδ(x)<...
AbstractWe present several inequalities forfa(x)=Γ(a,x)Γ(a,0)(a>0,x⩾0), where Γ(a,x) is the incomple...
AbstractLet Γ(x) denote Euler's gamma function. The following inequality is proved: for y>0 and x>1 ...
AbstractIn this paper some new inequalities for the Čebyšev functional are presented. They have appl...
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...
AbstractIn this paper, we prove that for x+y>0 and y+1>0 the inequality [Γ(x+y+1)/Γ(y+1)]1/x[Γ(x+y+2...
An inequality involving the Euler gamma function is presented. This result generalizes several recen...
AbstractWe prove sharp inequalities for arbitrary complex vectors and weights generated by the gamma...
AbstractIn this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex ...
AbstractLet Bpn denote the unit ball in ℓpn with p⩾1. We prove that Voln−1(H∩Bpn)⩾(Voln(Bpn))(n−1)/n...
We deduce an inequality using elementary methods which makes it possible to prove a conjecture reg...
AbstractUsing Hayashi’s inequality, an Iyengar type inequality for functions with bounded second der...
AbstractThe constants of Landau and Lebesgue are defined for all integers n⩾0 byGn=∑k=0n116k2kk2andL...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
DOI
Add to ORKG