AbstractThe aim of this paper is to refine Gurland’s formula for approximating pi. We prove the complete monotonicity of a class of functions related to Gurland’s formula, and then we state some sharp inequalities
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex ...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
AbstractShi, Liu and Hu [X. Shi, F. Liu, M. Hu, A new asymptotic series for the Gamma function, J. C...
AbstractThe aim of the paper is to improve known estimates of the Wallis ratio. Moreover, we show th...
AbstractIn this paper some new inequalities for the Čebyšev functional are presented. They have appl...
AbstractThe psi function ψ(x) is defined by ψ(x)=Γ′(x)/Γ(x), where Γ(x) is the gamma function. We gi...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
AbstractWe generalize Ostrowski inequality for higher order derivatives, by using a generalized Eule...
AbstractIn the present paper, we establish necessary and sufficient conditions for the functions xα|...
AbstractWe present several inequalities forfa(x)=Γ(a,x)Γ(a,0)(a>0,x⩾0), where Γ(a,x) is the incomple...
AbstractLet Gc(x)=logΓ(x)−xlogx+x−12log(2π)+12ψ(x+c)(x>0;c≥0). We prove that Ga is completely monoto...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
In this paper several monotonicity properties and inequalities are given for $Gamma$ and $Gamma_q$ f...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex ...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
AbstractShi, Liu and Hu [X. Shi, F. Liu, M. Hu, A new asymptotic series for the Gamma function, J. C...
AbstractThe aim of the paper is to improve known estimates of the Wallis ratio. Moreover, we show th...
AbstractIn this paper some new inequalities for the Čebyšev functional are presented. They have appl...
AbstractThe psi function ψ(x) is defined by ψ(x)=Γ′(x)/Γ(x), where Γ(x) is the gamma function. We gi...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
AbstractWe generalize Ostrowski inequality for higher order derivatives, by using a generalized Eule...
AbstractIn the present paper, we establish necessary and sufficient conditions for the functions xα|...
AbstractWe present several inequalities forfa(x)=Γ(a,x)Γ(a,0)(a>0,x⩾0), where Γ(a,x) is the incomple...
AbstractLet Gc(x)=logΓ(x)−xlogx+x−12log(2π)+12ψ(x+c)(x>0;c≥0). We prove that Ga is completely monoto...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
In this paper several monotonicity properties and inequalities are given for $Gamma$ and $Gamma_q$ f...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex ...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
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