AbstractLet A={a1,a2,…}(a1<a2<⋯) be an infinite sequence of nonnegative integers, let k≥2 be a fixed integer and denote by rk(A,n) the number of solutions of ai1+ai2+⋯+aik≤n. Montgomery and Vaughan proved that r2(A,n)=cn+o(n1/4) cannot hold for any constant c>0. In this paper, we extend this result to k>2
AbstractTwo equalities for the approximation of constant e and their applications are considered
AbstractFor a polynomial p of degree n<N we compare two norms:∥p∥≔sup{|p(z)|:z∈C;|z|=1}and∥p∥N≔suppz...
AbstractWe determine a condition on M, α, λ and μ for which|(1−α)(f(z)z)μ+αf′(z)(f(z)z)μ−1−1|<M impl...
AbstractWe consider the asymptotic relationship as n→∞ between the eigenvalues λ1n⩽⋯⩽λnn and μ1n⩽⋯⩽μ...
AbstractHere we establish left Caputo fractional ‖⋅‖∞-Landau type inequalities. We give applications...
AbstractA capital letter designates an n×n matrix. For every A>0, B⩾0, 0⩽α⩽1 and each t∈[0,1],(A♯αB)...
AbstractLet β be a real number. Then for almost all irrational α>0 (in the sense of Lebesgue measure...
AbstractFor given positive integers n and a, let R(n;a) denote the number of positive integer soluti...
AbstractIn this paper we prove a Tauberian theorem for (A)(C,α) summability method, which extends th...
AbstractIn the paper, we generalize some congruences of Lehmer and prove that for any positive integ...
AbstractIn this paper, we give direct, inverse and equivalence approximation theorems for the Bézier...
AbstractLet E be an order continuous Köthe function space (or an order continuous Banach lattice) an...
AbstractLet χ be the Dirichlet character modulo q⩾3 and L(s,χ) denote the corresponding Dirichlet L-...
AbstractIn this work it is shown that if C(α,β) and C(γ,δ) are double Cesàro matrices with α≥γ>−1,β≥...
AbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the ty...
AbstractTwo equalities for the approximation of constant e and their applications are considered
AbstractFor a polynomial p of degree n<N we compare two norms:∥p∥≔sup{|p(z)|:z∈C;|z|=1}and∥p∥N≔suppz...
AbstractWe determine a condition on M, α, λ and μ for which|(1−α)(f(z)z)μ+αf′(z)(f(z)z)μ−1−1|<M impl...
AbstractWe consider the asymptotic relationship as n→∞ between the eigenvalues λ1n⩽⋯⩽λnn and μ1n⩽⋯⩽μ...
AbstractHere we establish left Caputo fractional ‖⋅‖∞-Landau type inequalities. We give applications...
AbstractA capital letter designates an n×n matrix. For every A>0, B⩾0, 0⩽α⩽1 and each t∈[0,1],(A♯αB)...
AbstractLet β be a real number. Then for almost all irrational α>0 (in the sense of Lebesgue measure...
AbstractFor given positive integers n and a, let R(n;a) denote the number of positive integer soluti...
AbstractIn this paper we prove a Tauberian theorem for (A)(C,α) summability method, which extends th...
AbstractIn the paper, we generalize some congruences of Lehmer and prove that for any positive integ...
AbstractIn this paper, we give direct, inverse and equivalence approximation theorems for the Bézier...
AbstractLet E be an order continuous Köthe function space (or an order continuous Banach lattice) an...
AbstractLet χ be the Dirichlet character modulo q⩾3 and L(s,χ) denote the corresponding Dirichlet L-...
AbstractIn this work it is shown that if C(α,β) and C(γ,δ) are double Cesàro matrices with α≥γ>−1,β≥...
AbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the ty...
AbstractTwo equalities for the approximation of constant e and their applications are considered
AbstractFor a polynomial p of degree n<N we compare two norms:∥p∥≔sup{|p(z)|:z∈C;|z|=1}and∥p∥N≔suppz...
AbstractWe determine a condition on M, α, λ and μ for which|(1−α)(f(z)z)μ+αf′(z)(f(z)z)μ−1−1|<M impl...
DOI
Add to ORKG