AbstractIn [Feng and Kozak, J. Approx. Theory 32 (1981), 327–338], another proof of the boundedness of L2-projections onto splines on a geometric mesh was given. In this paper, the sharp lower bound is obtained for the inverse of the corresponding B-spline Gram matrix. Namely, ∥Gr−1∥∞ = Π2k − 1(qr;q)Π2k − 1(−qr;q)¦ ⩾ 2k − 1, for r = k, k − 1
AbstractFor an integer k ⩾ 1 and a geometric mesh (qi)−∞∞ with q ϵ (0, ∞), let Mi,k(x): = k[qi + k](...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractLet sn denote the formal expansion of a function ƒ in a Jacobi series truncated after n + 1 ...
AbstractUsing Kummer's criteria we show that if the first case of Fermat's last theorem fails for th...
AbstractLetA be a doubly stochastic matrix of ordern andσ1(A) the sum of the orderi subpermanents of...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractThe paper deals with minimal lattice paths from the origin to a point (n,m) which do not cro...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
In [1] we have proved a quantum De Moivre-Laplace theorem based on a modification of the Giri-von W...
AbstractLet ai,j(n) denote the number of walks in n steps from (0,0) to (i,j), with steps (±1,0) and...
AbstractIn this paper we make some remarks on the generalization of Taylor's formula from S. J. Karl...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractIn this paper we show that for any integer n ⩾ 1, primes p1, …, pn, pi ≡ 3 (mod 4), pi > 3, ...
AbstractIn this paper, we study the oscillation, global asymptotic stability, and other properties o...
AbstractThe object of the present paper is to investigate some properties of certain integral operat...
AbstractFor an integer k ⩾ 1 and a geometric mesh (qi)−∞∞ with q ϵ (0, ∞), let Mi,k(x): = k[qi + k](...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractLet sn denote the formal expansion of a function ƒ in a Jacobi series truncated after n + 1 ...
AbstractUsing Kummer's criteria we show that if the first case of Fermat's last theorem fails for th...
AbstractLetA be a doubly stochastic matrix of ordern andσ1(A) the sum of the orderi subpermanents of...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractThe paper deals with minimal lattice paths from the origin to a point (n,m) which do not cro...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
In [1] we have proved a quantum De Moivre-Laplace theorem based on a modification of the Giri-von W...
AbstractLet ai,j(n) denote the number of walks in n steps from (0,0) to (i,j), with steps (±1,0) and...
AbstractIn this paper we make some remarks on the generalization of Taylor's formula from S. J. Karl...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractIn this paper we show that for any integer n ⩾ 1, primes p1, …, pn, pi ≡ 3 (mod 4), pi > 3, ...
AbstractIn this paper, we study the oscillation, global asymptotic stability, and other properties o...
AbstractThe object of the present paper is to investigate some properties of certain integral operat...
AbstractFor an integer k ⩾ 1 and a geometric mesh (qi)−∞∞ with q ϵ (0, ∞), let Mi,k(x): = k[qi + k](...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractLet sn denote the formal expansion of a function ƒ in a Jacobi series truncated after n + 1 ...
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