On the degree of approximation of the Hermite and Hermite-Fejer interpolation by J. Prasad

“…Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.…”
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On approximation in the Lp-norm by Hermit interpolation by Min Guohua

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Extended Hermite–Hadamard inequalities by Lakhlifa Sadek, Ali Algefary

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Localization and summability of multiple Hermite series by G. E. Karadzhov, E. E. El-Adad

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A characterization of the Rogers q-hermite polynomials by Waleed A. Al-Salam

“…In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.…”
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Image of Lp(ℝn) under the Hermite Semigroup by R. Radha, D. Venku Naidu

“…It is shown that the Hermite (polynomial) semigroup {e−tℍ:t>0} maps Lp(ℝn,ρ) into the space of holomorphic functions in Lr(ℂn,Vt,p/2(r+ϵ)/2) for each ϵ>0, where ρ is the Gaussian measure, Vt,p/2(r+ϵ)/2 is a scaled version of Gaussian measure with r=p if 1<p<2 and r=p′ if 2<p<∞ with 1/p+1/p′=1. …”
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On the Singularity of Multivariate Hermite Interpolation of Total Degree by Zhongyong Hu, Zhaoliang Meng, Zhongxuan Luo

“…We study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3+d<m≤d(d+3)/2. …”
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Some formulas of L. Carlitz on Hermite polynomials by S. K. Chatterjea, S. M. Eaqub Ali

Subjects: “…Hermite polynomials…”
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Hermite-Hadamard-Type Inequalities for r-Preinvex Functions by Wasim Ul-Haq, Javed Iqbal

“…We aim to fi…nd Hermite-Hadamard inequality for r-preinvex functions. …”
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Hermite Polynomials and their Applications Associated with Bernoulli and Euler Numbers by Dae San Kim, Taekyun Kim, Seog-Hoon Rim, Sang Hun Lee

“…We derive some interesting identities and arithmetic properties of Bernoulli and Euler polynomials from the orthogonality of Hermite polynomials. Let Pn={p(x)∈ℚ[x]∣deg p(x)≤n} be the (n+1)-dimensional vector space over ℚ. …”
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Refinements on the Hermite-Hadamard Inequalities for r-Convex Functions by Feixiang Chen, Xuefei Liu

“…We give some new generalizations of the well-known Hermite-Hadamard inequality for r-convex functions.…”
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Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data by H. Vosoughi, S. Abbasbandy

“…A numerical method along with explicit construction to interpolation of fuzzy data through the extension principle results by widely used fuzzy-valued piecewise Hermite polynomial in general case based on the cardinal basis functions, which satisfy a vanishing property on the successive intervals, has been introduced here. …”
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Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes by M. Fernandez-Guasti, J. Hernández

“…The angular momentum content and propagation of linearly polarized Hermite-Gaussian modes are analyzed. The helicity gauge invariant continuity equation reveals that the helicity and flow in the direction of propagation are zero. …”
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Hardy-Sobolev spaces of higher order associated to Hermite operator by Jizheng Huang, Shuangshuang Ying

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Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking by Gernot Akemann, Federico Balducci, Aurélia Chenu, Patricia Päßler, Federico Roccati, Ruth Shir

“…Its rich complex eigenvalue statistics is found to separately break both Hermiticity and integrability at different scales of the disorder strength. …”
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Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces by Hong Rae Cho, Hyunil Choi, Han-Wool Lee

“…We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.…”
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Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions by Feixiang Chen, Shanhe Wu

“…Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically convex functions are also considered.…”
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Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations by Muhammad Adil Khan, Yu-Ming Chu, Artion Kashuri, Rozana Liko, Gohar Ali

“…We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. …”
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On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions by Tian-Yu Zhang, Ai-Ping Ji, Feng Qi

“…By the well-known Hölder inequality, they establish some integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions and apply these inequalities to special means.…”
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The Hermite polynomials and the Bessel functions from a general point of view by G. Dattoli, H. M. Srivastava, D. Sacchetti

“…We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. …”
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