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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Exact Solutions for the Wick-Type Stochastic Schamel-Korteweg-de Vries Equation by Xueqin Wang, Yadong Shang, Huahui Di

“…With the aid of symbolic computation and Hermite transformation, by employing the (G′/G,1/G)-expansion method, we derive the new exact travelling wave solutions, which include hyperbolic and trigonometric solutions for the considered equations.…”
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A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function by Eduard Navas, Wilfredo O. Urbina

“…We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one, using the well-known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials.…”
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On a More Accurate Half-Discrete Mulholland-Type Inequality Involving One Multiple Upper Limit Function by Xianyong Huang, Bicheng Yang

“…By the use of the weight functions, the symmetry property, and Hermite-Hadamard’s inequality, a more accurate half-discrete Mulholland-type inequality involving one multiple upper limit function is given. …”
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Operator (p, η)-Convexity and Some Classical Inequalities by Chuanjun Zhang, Muhammad Shoaib Saleem, Waqas Nazeer, Naqash Shoukat, Yongsheng Rao

“…Furthermore, we develop famous Hermite–Hadamard, Jensen type, Schur type, and Fejér’s type inequalities for this generalized function.…”
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Ostrowski Type Inequalities for s-Convex Functions via q-Integrals by Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela

“…The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings. …”
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Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials by Maryam Salem Alatawi

“…The corresponding results for Hermite–Lambda polynomials are also obtained. In addition, a conclusion is given.…”
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Some Inequalities Related to Interval-Valued ηh-Convex Functions by Lei Chen, Muhammad Shoaib Saleem, Muhammad Sajid Zahoor, Rahat Bano

“…In this paper, we introduced interval-valued generalized ηh convex function and proved Hermite–Hadamard-, Jensen-, and Ostrowski-type inequalities in this generalization. …”
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A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications by Zaid Mohammed Mohammed Mahdi Sayed, Muhammad Adil Khan, Shahid Khan, Josip Pečarić

“…We utilize the refinement to obtain some new refinements of the Hermite-Hadamard and Hölder’s inequalities as well. …”
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Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation by Zareen A. Khan, Waqar Afzal, Mujahid Abbas, Kwara Nantomah

“…As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér-type inequalities under inclusion order relations. …”
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A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$ by Melek Sofyalıoğlu Aksoy

“…Then we establish a quantitative Voronovskaya-type asymptotic result. We also introduce Hermite polynomials and Gould–Hopper polynomials, which are more specific examples of Appell polynomials.…”
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Proposal of a quantum version of active particles via a nonunitary quantum walk by Manami Yamagishi, Naomichi Hatano, Hideaki Obuse

“…For our quantum active particle, we successfully observe that the movement of the quantum walker becomes more active in a nontrivial manner as we increase the non-Hermiticity parameter $${g}$$ ( g ) , which is similar to the classical active Brownian particle. …”
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Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application by Sercan Turhan

“…Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions. …”
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