Spin-orbit interaction in quasi-monochromatic singular beams by Y.A. Egorov, A.F. Rubass

“…At the same time, for ordinary higher-order Hermite-Gaussian and Laguerre-Gaussian mode beams, the energy efficiency can only slightly exceed 50%. …”
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Female Authority during the Knights’ Quest ? Recluses in the Queste del Saint Graal by Anastasija Ropa

“…Female recluses were prominent in the medieval spiritual landscapes, but, unlike hermits, these vigorously enclosed women are almost non-existent in medieval romance. …”
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Matrix Transformations and Disk of Convergence in Interpolation Processes by Chikkanna R. Selvaraj, Suguna Selvaraj

“…In 1980, Cavaretta et al. have studied the extension of Lagrange interpolation, Hermite interpolation, and Hermite-Birkhoff interpolation processes in a similar manner. …”
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Integral Inequalities of Integer and Fractional Orders for n–Polynomial Harmonically tgs–Convex Functions and Their Applications by Artion Kashuri, Soubhagya Kumar Sahoo, Bibhakar Kodamasingh, Muhammad Tariq, Ahmed A. Hamoud, Homan Emadifar, Faraidun K. Hamasalh, Nedal M. Mohammed, Masoumeh Khademi

“…First, we use this notion to present new variants of the Hermite–Hadamard type inequality and related integral inequalities, as well as their fractional analogues. …”
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Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry by Özlem Yeşiltaş

“…Using η-pseudo-Hermiticity, the intertwining operator connecting the non-Hermitian Hamiltonians to the Hermitian counterparts is found. …”
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Bounds for the Jensen Gap in terms of Power Means with Applications by Xuexiao You, Muhammad Adil Khan, Hamid Reza Moradi

“…As consequences, improvements of quantum integral version of Hermite-Hadamard inequality have been derived. The obtained inequalities have been applied for some well-known inequalities such as Hermite-Hadamrd, Hölder, and power mean inequalities. …”
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Inequalities Involving Conformable Approach for Exponentially Convex Functions and Their Applications by Jun-Feng Li, Saima Rashid, Jia-Bao Liu, Ahmet Ocak Akdemir, Farhat Safdar

“…In the article, we present several Hermite–Hadamard-type inequalities for the exponentially convex functions via conformable integrals. …”
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Zero distribution of sequences of classical orthogonal polynomials by Plamen Simeonov

“…We obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.…”
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Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon by Abdu A. Alkelly, Labiba F. Hassan

“…The propagation of a partially Lorentz–Gauss beam in a uniform-intensity diffractive axicon is studied according to the Huygens–Fresnel principle, the Hermite–Gaussian expansion of a Lorentz function, and using the stationary phase method. …”
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𝑞-Gaussian Distributions: Simplifications and Simulations by Paweł J. Szabłowski

“…We present some properties of measures (𝑞-Gaussian) that orthogonalize the set of 𝑞-Hermite polynomials. We also present an algorithm for simulating i.i.d. sequences of random variables having 𝑞-Gaussian distribution.…”
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On constrained uniform approximation by M. A. Bokhari

“…The problem of uniform approximants subject to Hermite interpolatory constraints is considered with an alternate approach. …”
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Some New Inequalities for p-Convex Functions via a K-Fractional Conformable Integral by Yan Dou, Muhammad Shoaib Saleem, Nimra Anwar, Haiping Gao

“…The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. …”
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Unconventional and robust light-matter interactions based on the non-Hermitian skin effect by Lei Du, Anton Frisk Kockum

“…The protection from dissipation arises from the cooperation of the non-Hermiticity and the self-interference effect, and is therefore lacking for small emitters. …”
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Equiconvergence of some sequences of rational functions by M. A. Bokhari, A. Sharma

“…Here we obtain analogues of Yuanren's results for Walsh equiconvergence using rational functions as in Saff and Sharma. We extend this to Hermite interpolation and an earlier result of [1] is improved and corrected.…”
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On a New Extension of Mulholland’s Inequality in the Whole Plane by Bicheng Yang, Yanru Zhong, Qiang Chen

“…A new, more accurate extension of Mulholland’s inequality in the whole plane with a best possible constant factor is presented by introducing independent parameters, applying weight coefficients and using Hermite-Hadamard’s inequality. Moreover, the equivalent forms, some particular cases, and the operator expressions are considered.…”
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Strongly Reciprocally p-Convex Functions and Some Inequalities by Hao Li, Muhammad Shoaib Saleem, Ijaz Hussain, Muhammad Imran

“…Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-type, and Fejér-type inequalities for the strongly reciprocally p-convex functions.…”
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Generalized Convex Functions on Fractal Sets and Two Related Inequalities by Huixia Mo, Xin Sui, Dongyan Yu

“…Based on these properties, we establish the generalized Jensen’s inequality and generalized Hermite-Hadamard's inequality. Furthermore, some applications are given.…”
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Some well-known inequalities of Ostrowski like for Caputo derivatives by Yonghong Liu, Ghulam Farid, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek

“…This paper aims to provide new versions of some known inequalities by applying Caputo fractional derivatives. Ostrowski, Hermite-Hadamard and Ostrowski-Grüss-type inequalities are given. …”
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Certain Properties of the Modified Degenerate Gamma Function by Kwara Nantomah

“…The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality. …”
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Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators by Changyue Chen, Muhammad Shoaib Sallem, Muhammad Sajid Zahoor

“…In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions. We develop Hermite–Hadamard-type inequalities for this class of convex function via Raina’s fractional integral operator.…”
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