Publication date
March 2012
DOI Publisher
Elsevier Inc. ISSN
0022-247X Citation count (estimate)
10Abstract
AbstractIn this paper, we establish approximation formulas for evaluating Landauʼs constants
AbstractIn this paper, we establish approximation formulas for evaluating Landauʼs constants
AbstractA new generalized and sharp version of Jordan’s inequality is proved and it is applied in th...
AbstractWe present in detail a linear, constant-coefficient initial/boundary value problem for which...
AbstractLugo’s constant L given by L=−12−γ+ln2 is defined as the limit of the sequence (Ln)n∈N defin...
AbstractLet γ=0.577215664… denote the Euler–Mascheroni constant, and let the sequence wn(a,b,c,d)=∑k...
AbstractThe goal of this paper is to prove the following asymptotic formula Γ(x)≈2πe−b(x+b)xexp(−x−1...
AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractIn this paper, we consider second order elliptic problems with rapidly oscillating coefficie...
We obtain complete asymptotic expansions for the exact upper bounds of the approximations of functio...
AbstractIn this paper we consider a class of nonlinear delay partial difference equations and a clas...
AbstractLet θ≥2 be a given real number, and a, b∈R be two parameters, and let Q(x;a,b,θ)=2π+a(πθ−(2x...
AbstractWe establish several sharp two-sided inequalities involving the constants of Landau and Lebe...
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the cen...
AbstractIn Schweiger (2003) [1], Fritz Schweiger introduced the algorithm of the generalized continu...
AbstractThe aim of the paper is to improve known estimates of the Wallis ratio. Moreover, we show th...
AbstractA new generalized and sharp version of Jordan’s inequality is proved and it is applied in th...
AbstractWe present in detail a linear, constant-coefficient initial/boundary value problem for which...
AbstractLugo’s constant L given by L=−12−γ+ln2 is defined as the limit of the sequence (Ln)n∈N defin...
AbstractLet γ=0.577215664… denote the Euler–Mascheroni constant, and let the sequence wn(a,b,c,d)=∑k...
AbstractThe goal of this paper is to prove the following asymptotic formula Γ(x)≈2πe−b(x+b)xexp(−x−1...
AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractIn this paper, we consider second order elliptic problems with rapidly oscillating coefficie...
We obtain complete asymptotic expansions for the exact upper bounds of the approximations of functio...
AbstractIn this paper we consider a class of nonlinear delay partial difference equations and a clas...
AbstractLet θ≥2 be a given real number, and a, b∈R be two parameters, and let Q(x;a,b,θ)=2π+a(πθ−(2x...
AbstractWe establish several sharp two-sided inequalities involving the constants of Landau and Lebe...
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the cen...
AbstractIn Schweiger (2003) [1], Fritz Schweiger introduced the algorithm of the generalized continu...
AbstractThe aim of the paper is to improve known estimates of the Wallis ratio. Moreover, we show th...
AbstractA new generalized and sharp version of Jordan’s inequality is proved and it is applied in th...
AbstractWe present in detail a linear, constant-coefficient initial/boundary value problem for which...
AbstractLugo’s constant L given by L=−12−γ+ln2 is defined as the limit of the sequence (Ln)n∈N defin...
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