Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Title
Now showing items 947-966 of 1633
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Book Chapter
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Article
An O(h6) cubic spline interpolating procedure for harmonic functions
(1991)An O(h6) method for the interpolation of harmonic functions in rectangular domains is described and analyzed, The method is based on an earlier cubic spline technique [N. Papamichael and J.R. Whiteman, BIT 14, 452–459 ...
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Article
Odd order Brauer-Manin obstruction on diagonal quartic surfaces
(2015)We determine the odd order torsion subgroup of the Brauer group of diagonal quartic surfaces over the field of rational numbers. We show that a non-constant Brauer element of odd order always obstructs weak approximation ...
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Article
On a class of holomorphic functions representable by Carleman formulas in some class of bounded, simply connected domains from their values on an analytic arc
(2006)Let sript U sign be a bounded, simply connected domain with Jordan rectifiable boundary and let M ⊂ ∂ sript U sign be an open analytic arc whose Lebesgue measure satisfies 0 < m(M) < m(∂ sript U sign. Our result gives a ...
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Article
On a class of holomorphic functions representable by Carleman formulas in the disk from their values on the arc of the circle
(2007)Let D be a unit disk and M be an open arc of the unit circle whose Lebesgue measure satisfies 0 < l(M) < 2π Our first result characterizes the restriction of the holomorphic functions f ∈ H(D), which are in the Hardy class ...
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Article
On a class of holomorphic functions representable by Carleman formulas in the interior of an equilateral cone from their values on its rigid base
(2005)Let Δ be an equilateral cone in C with vertices at the complex numbers 0, z10, z20 and rigid base M (Section 1). Assume that the positive real semi-axis is the bisectrix of the angle at the origin. For the base M of the ...
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Article
On a class of integrals involving a Bessel function times gegenbauer polynomials
(2007)We provide information and explicit formulae for a class of integrals involving Bessel functions and Gegenbauer polynomials. We present a simple proof of an old formula of Gegenbauer. Some interesting special cases and ...
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Article
On a conjecture for trigonometric sums and starlike functions
(2007)We pose and discuss the following conjecture: let snμ (z) {colon equals} ∑k = 0n frac((μ)k, k !) zk, and for ρ ∈ (0, 1] let μ* (ρ) be the unique solution μ ∈ (0, 1] of ∫0(ρ + 1) π sin fenced(t - ρ π) tμ - 1 dt = 0 .Then ...
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Article
On a conjecture for trigonometric sums and starlike functions, II
(2010)We prove the case ρ=1/4 of the following conjecture of Koumandos and Ruscheweyh: let snμ(z)=Σk=0n(μ)k/ k!zk, and for ρε(0,1] let μ≤(ρ) be the unique solution of 0(ρ+1)πsin(t-ρπ)tμ-1dt =0 in (0,1]. Then we have pipearg[(1 ...
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Article
On a conjecture of Clark and Ismail
(2005)Let Φm (x) = -xmψ(m) (x), where ψ denotes the logarithmic derivative of Euler's gamma function. Clark and Ismail prove in a recently published article that if m ∈ {1,2,..., 16}, then Φm(m) is completely monotonic on (0, ...
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Article
On a conjectured inequality of Gautschi and Leopardi for Jacobi polynomials
(2007)Motivated by work on positive cubature formulae over the spherical surface, Gautschi and Leopardi conjectured that the inequality (equation presented) holds for α, β > - 1 and n ≥ 1, θ∈ ∈(0, π), where Pn(α,β)(x) are the ...
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Article
On a domain decomposition method for the computation of conformal modules
(1988)We consider a domain decomposition method for approximating the conformal modules of a certain class of long quadrilaterals. © 1988.
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Article
On A Generalized Entropy’s Formula
(1990)An Eggleston- type formula is given, as the Hausdorff dimension of a set of positive Rademacher- Riesz product measure. © 1990, Birkhäuser Verlag, Basel. All rights reserved.
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Conference Object
On a hybrid model for max-min congestion controllersAAA
(2004)In this paper we address the congestion control problem in computer networks offering a single class of best effort service. The problem is viewed as a resource allocation problem. The objective is to distribute the available ...
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Article
On a monotonic trigonometric sum
(1997)By establishing a cosine analogue of a result of Askey and Steinig on a monotonic sine sum, this paper sharpens and unifies several results associated with Young's inequality for the partial sums of Σk-1 cos kθ.
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Article
On a sequence of higher-order nonlinear diffusion-convection equations
(2019)Motivated by the existence of the thin film equations, fourth and sixth order, which are generalizations of the diffusion equation, we consider a sequence of higher order nonlinear diffusion-convection equations. We ...
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Article
On a trigonometric sum of Vinogradov
(2004)The trigonometric sum f(m, n) = ∑ k=1 m-1 sin(πkn/m) /sin(πk/m) (1 < m ∈ N, n ∈ N) has several applications in number theory. We prove that the mean value inequalities c1m(log m + γ - logπ/2) ≤ 1/m ∑ n=1 f(m, n) < c2m(log ...
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Article
On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials
(2007)We establish, using a new approach, the integrability of a particular case in the Kozlov-Treshchev classification of Birkhoff integrable Hamiltonian systems. The technique used is a modification of the so called quadratic ...
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Article
On asymptotic approximations of the residual currents
(1998)We use a P-module approach to discuss positive examples for the existence of the unrestricted limit of the integrals involved in the approximation to the Coleff-Herrera residual currents in the complete intersection case. ...
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Article
On Asymptotic Expansions of Generalized Stieltjes Functions
(2015)We characterize the generalized Stieltjes functions corresponding to measures on the positive real axis having moments of all orders in terms of monotonicity properties of the remainders in asymptotic expansions of these ...