Results 111 to 120 of about 327,876 (275)
Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials
Discrete Dynamics in Nature and Society, 2012 We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim +2 more
doaj +1 more source
Advanced Functional Materials, EarlyView.Mesoblends consist of a nanostructured polymer into which a second polymer is imbibed with a selective solvent. In this work, a solvent‐templatable pentablock terpolymer possessing a sulfonated midblock is modified with a hydrophilic polymer that is photocrosslinked in situ, yielding a hierarchical binetwork.
Kacie M. Wells +3 more
wiley +1 more source
Bessel-type inequalities in semi-Hilbert spaces with applications to operator tuples
Journal of Inequalities and ApplicationsConsider a non-zero positive operator A on a complex Hilbert space ( H , 〈 ⋅ , ⋅ 〉 ) $(\mathfrak{H}, \langle \cdot , \cdot \rangle )$ . This operator induces an A-semi-inner product defined by ( u ∣ v ) A : = 〈 A u , v 〉 $(u \mid v)_{\mathbf{A ...
Feryal Aladsani +3 more
doaj +1 more source
Topological algebra via inner product
, 2016 This paper is devoted to establish a probability measure on a unital commutative separable Frechet Q lmc*- algebra. Consequently a new technique to define an inner product on a unital commutative semi simple separable Frechet Q lmc*-algebra.
Farah Nadhirah
core
Advanced Functional Materials, EarlyView.Two nitrogen‐doped 2D conjugated metal‐organic frameworks (2D c‐MOFs, namely Cu‐Nx‐OHBA, x = 2 or 4) are synthesized, featuring precise nitrogen incorporation via rational ligand design. The Cu‐Nx‐OHBA 2D c‐MOFs are largely tailorable by varying skeletal nitrogen density, with respect to electrical conductivity, Li‐storage capacitance, and Li‐transport
Xiangyu Li +7 more
wiley +1 more source
New marker for chronic kidney disease progression and mortality in medical-word virtual space
Scientific ReportsA new marker reflecting the pathophysiology of chronic kidney disease (CKD) has been desired for its therapy. In this study, we developed a virtual space where data in medical words and those of actual CKD patients were unified by natural language ...
Eiichiro Kanda +4 more
doaj +1 more source
Upper Bounds for the Euclidean Operator Radius and Applications
, 2006 The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space.
Dragomir, Sever S
core
A Generalized Study of the Conjugate and Inner-Product Functions [PDF]
, 1967 The usual practice in any discussion of an inner-product space is to restrict the field over which the inner-product space is defined to the field of complex numbers.
Wright, Dorothy P.
core
Advanced Functional Materials, EarlyView.Choline chloride (ChCl) additive enables dynamic interface engineering in Zn‐I2 batteries by forming hydrophobic polyiodide complexes and a Zn‐stabilizing Ch+‐rich layer under electric field modulation. This dual‐function strategy suppresses iodine hydrolysis and dendrite formation, while optimizing Zn2+ solvation and transport for high‐efficiency ...
Xiaoyu Bi +16 more
wiley +1 more source
Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials
Abstract and Applied Analysis, 2012 Let Pn={p(x)∈ℝ[x]∣deg p(x)≤n} be an inner product space with the inner product 〈p(x),q(x)〉=∫0∞xαe-xp(x)q(x)dx, where p(x),q(x)∈Pn and α∈ℝ with α>-1. In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis
Taekyun Kim, Dae San Kim
doaj +1 more source