Results 121 to 130 of about 133,676 (303)
Differential equations for discrete Laguerre–Sobolev orthogonal polynomials
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Laguerre-Sobolev bilinear form with mass point at zero. In particular we construct the orthogonal polynomials using certain Casorati determinants. Using this construction, we prove that they are eigenfunctions of a differential operator (which
Durán, Antonio J. +1 more
openaire +2 more sources
Bone's complex hierarchical structure contains many internal interfaces, including the cement line (CL) around osteons. This article shows that the CL is stiffer and harder than surrounding bone but has different mineral–mechanics relationships. These findings challenge the view of the CL as a soft, protective interface and provide insights for ...
Astrid Cantamessa +11 more
wiley +1 more source
Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Satoshi Tsujimoto, Alexei Zhedanov
doaj +1 more source
Discrete orthogonality of the polynomial sequences in the $q$-Askey scheme [PDF]
Luis Verde‐Star
openalex +1 more source
Robustness assessment of reinforced concrete structures for different failure scenarios
Abstract This study describes the robustness assessment of 3D reinforced concrete structures analyzing the response of the 2D frames in different design configurations and failure scenarios. The structures are characterized by both frames with wide beams and seismic‐resistant frames with deep beams.
E. Miceli +2 more
wiley +1 more source
Distributed Formation Control for Heterogeneous Robot Systems Based on Competitive Mechanism
ABSTRACT This paper presents an adaptive formation control method for a heterogeneous robot swarm, utilising a multilevel formation task tree to model various types of formation tasks and a single‐state distributed k‐winner‐take‐all (S‐DKWTA) algorithm to address the MRTA problem.
Zhenghui Cui, Xiaoyi Gu, Ning Tan
wiley +1 more source
The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One
We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q is the Hahn's operator.
Abdallah Ghressi, Lotfi Khériji
doaj +1 more source
ABSTRACT Most research questions in agricultural and applied economics are causal in nature: they study how changes in one or more variables (such as policies, prices or weather) affect one or more other variables (e.g., income, crop yields or pollution).
Arne Henningsen +6 more
wiley +1 more source
Let denote the sequence of polynomials orthogonal with respect to the non-discrete Sobolev inner product , where and with , . In this paper, we prove a Cohen type inequality for the Fourier expansion in terms of the orthogonal polynomials ...
Marcellán Francisco +1 more
doaj
Extensions of discrete classical orthogonal polynomials beyond the orthogonality
It is well known that the family of Hahn polynomials $\{h_n^{ , }(x;N)\}_{n\ge 0}$ is orthogonal with respect to a certain weight function up to $N$. In this paper we present a factorization for Hahn polynomials for a degree higher than $N$ and we prove that these polynomials can be characterized by a $ $-Sobolev orthogonality.
Costas-Santos, Roberto S. +1 more
openaire +4 more sources

