Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications by Arshad Iqbal, Muhammad Adil Khan, Sana Ullah, Yu-Ming Chu

“…In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. …”
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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals by M. Rostamian Delavar, S. Mohammadi Aslani, M. De La Sen

“…This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. …”
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Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function by Zhengbo Li, Kamran, Muhammad Sajid Zahoor, Huma Akhtar

“…By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. …”
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Hermite-Hadamard and Schur-Type Inequalities for Strongly h-Convex Fuzzy Interval Valued Functions by Putian Yang, Shiqing Zhang

“…In the present study, we introduced the definition of fuzzy interval valued strongly h-convex function and investigated some of its properties. We established Hermite-Hadamard and Schur-type inequalities for the class of fuzzy interval valued strongly h-convex function.…”
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On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h-Convex Functions by Xiaobin Wang, Muhammad Shoaib Saleem, Kiran Naseem Aslam, Xingxing Wu, Tong Zhou

“…We present some new Caputo–Fabrizio fractional estimates from Hermite–Hadamard-type inequalities. The results of this paper can be considered as the generalization and extension of many existing results of inequalities and convex functions. …”
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Milne and Hermite-Hadamard's type inequalities for strongly multiplicative convex function via multiplicative calculus by Muhammad Umar, Saad Ihsan Butt, Youngsoo Seol

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On Hermite-Hadamard Type Inequalities for s-Convex Functions on the Coordinates via Riemann-Liouville Fractional Integrals by Feixiang Chen

“…We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. …”
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Unifications of Continuous and Discrete Fractional Inequalities of the Hermite–Hadamard–Jensen–Mercer Type via Majorization by Shah Faisal, Muhammad Adil Khan, Tahir Ullah Khan, Tareq Saeed, Zaid Mohammmad Mohammad Mahdi Sayed

“…These notions are applied to the latest generalized form of the inequalities, popularly known as the Hermite–Hadamard–Jensen–Mercer inequalities. Moreover, the frequently-used Caputo fractional operators are employed, which are rightly considered critical, especially for applied problems. …”
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New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators by Qiong Kang, Saad Ihsan Butt, Waqas Nazeer, Mehroz Nadeem, Jamshed Nasir, Hong Yang

“…In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. …”
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Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions by Yi Ma, Muhammad Shoaib Saleem, Imran Bashir, Yeliang Xiao

“…We established Schur (S), Hermite-Hadamard (HH), and Fejér (F) type inequalities for introduced class of convex functions. …”
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New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions by Yining Sun, Run Xu

“…This paper established some new Hermite–Hadamard type inequalities for ψ-Riemann–Liouville fractional integrals via convex functions. …”
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The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function by Tariq A. Aljaaidi, Deepak B. Pachpatte

“…In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type inequalities. …”
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The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation by Lu-feng Yang

“…The paper proposes a method to solve the time fractional Fokker–Planck equation using the generalized Hermite spectral method and Laplace transform. By the Laplace transform, the ordinary differential equation about the orthogonal expansion coefficient is transformed into a linear algebraic equation system, with the coefficient matrix being a tridiagonal lower triangular matrix. …”
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A Generalization of Hermite–Hadamard–Fejer Type Inequalities for the p-Convex Function via α-Generator by Erdal Ünlüyol, Yeter Erdaş

“…Third, we get some new theorems using Hermite–Hadamard–Fejer inequality for the αp-convex function. …”
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New Weighted Hermite–Hadamard Type Inequalities for Differentiable h-Convex and Quasi h-Convex Mappings by Muhammad Amer Latif

“…In this paper, new weighted Hermite–Hadamard type inequalities for differentiable h-convex and quasi h-convex functions are proved. …”
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Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators by Noureddine Azzouz, Bouharket Benaissa, Hüseyin Budak, İzzettin Demir

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Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions by Xiaoju Zhang, Khurram Shabbir, Waqar Afzal, He Xiao, Dong Lin

“…The goal of this study is to introduce the notion of h-Godunova–Levin interval-valued functions. We establish Hermite–Hadamard and Jensen-type inequalities via Riemann integral operator.…”
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A New Sparse Gauss-Hermite Cubature Rule Based on Relative-Weight-Ratios for Bearing-Ranging Target Tracking by Lijun Peng, Xiaojun Duan, Jubo Zhu

“…A new sparse Gauss-Hermite cubature rule is designed to avoid dimension explosion caused by the traditional full tensor-product based Gauss-Hermite cubature rule. …”
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Some New Variants of Hermite–Hadamard and Fejér-Type Inequalities for Godunova–Levin Preinvex Class of Interval-Valued Functions by Zareen A. Khan, Waqar Afzal, Waqas Nazeer, Joshua Kiddy K. Asamoah

“…The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR-order relations. …”
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Some New Inequalities of Hermite-Hadamard Type for (α1,m1)-(α2,m2)-Convex Functions on Coordinates by Ling Chun

“…The author introduces a new concept “(α1,m1)-(α2,m2)-convex functions on coordinates” and establishes some new inequalities of Hermite-Hadamard type for (α1,m1)-(α2,m2)-convex functions of two variables on co-ordinates.…”
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