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

“…We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators by utilizing Jensen–Mercer inequality for differentiable mapping ϒ whose derivatives in the absolute values are convex. Moreover, we construct new lemmas for differentiable functions ϒ′, ϒ″, and ϒ‴ and formulate related inequalities for these differentiable functions using variants of Hölder’s inequality.…”
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Calculus Rules for V-Proximal Subdifferentials in Smooth Banach Spaces by Messaoud Bounkhel

“…In 2010, Bounkhel et al. introduced new proximal concepts (analytic proximal subdifferential, geometric proximal subdifferential, and proximal normal cone) in reflexive smooth Banach spaces. They proved, in p-uniformly convex and q-uniformly smooth Banach spaces, the density theorem for the new concepts of proximal subdifferential and various important properties for both proximal subdifferential concepts and the proximal normal cone concept. …”
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Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales by Fuyi Xu

“…We obtain the existence of positive solutions by using fixed-point theorem in cones. The conclusions in this paper essentially extend and improve the known results.…”
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A Suspected Pelvic Aneurysmal Bone Cyst in Pregnancy by Rayan Elkattah, Brooke Foulk

“…Albeit rare, the majority of identified bone lesions in pregnancy spare the pelvis. Once encountered with a pelvic bone lesion in pregnancy, the obstetrician may face a challenging situation as it is difficult to determine and predict the effects that labor and parturition impart on the pelvic bones. …”
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On optimal regularity estimates for finite-entropy solutions of scalar conservation laws by Lamy, Xavier, Lorent, Andrew, Peng, Guanying

“…Under the assumptions that the flux function $a$ is strictly convex (with possibly degenerate convexity) and $a^{\prime \prime }$ forms a doubling measure, we obtain a characterization of finite-entropy solutions in terms of an optimal regularity estimate involving a cost function first used by Golse and Perthame.…”
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An Infeasible Incremental Bundle Method for Nonsmooth Optimization Problem Based on CVaR Portfolio by Jia-Tong Li, Jie Shen, Na Xu

“…For CVaR (conditional value-at-risk) portfolio nonsmooth optimization problem, we propose an infeasible incremental bundle method on the basis of the improvement function and the main idea of incremental method for solving convex finite min-max problems. The presented algorithm only employs the information of the objective function and one component function of constraint functions to form the approximate model for improvement function. …”
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A Strong Law of Large Numbers for Random Sets in Fuzzy Banach Space by R. Ghasemi, A. Nezakati, M. R. Rabiei

“…The embedded theorem for compact convex sets in the fuzzy normed space is the most important tool to prove this generalization. …”
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First Boundary Value Problem for Cordes-Type Semilinear Parabolic Equation with Discontinuous Coefficients by Aziz Harman, Ezgi Harman

“…The problem ∑i,j=1naijt,xuxixj−ut+gt,x,u=ft,x,uΓQT=0, in QT=Ω×0,T is the subject of our study, where Ω is bounded C2 or a convex subdomain of En+1,ΓQT=∂QT\∖t=T. The function gx,u is assumed to be a Caratheodory function satisfying the growth condition gt,x,u≤b0uq, for b0>0,q∈0,n+1/n−1,n≥2, and leading coefficients satisfy Cordes condition b0>0,q∈0,n+1/n−1,n≥2.…”
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Lumpy Jaw in White-tailed Deer by Juan Manuel Campos Krauer, Samantha M. Wisely, Hannah M. Barber

“…It gets its name from the swollen jaws or cheeks and necrotic lesions it causes in and around the jaw bones of animals including white-tailed deer. The disease is considered a significant problem for deer farms in North America, where it is one of the most important production-limiting diseases and causes high rates of mortality in fawns. …”
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The influence of the hydroxyapatite synthesis method on the electrochemical, surface and adsorption properties of hydroxyapatite by Ewa Skwarek, Władysław Janusz, Dariusz Sternik

“…It is a very interesting adsorbent and the main inorganic component of bones and teeth. Hydroxyapatite was obtained using three different methods. …”
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Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs by Wei Kang, Hao Chen, Kaibo Shi, Jun Cheng

“…Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally convex approach, sufficient conditions are derived to find an ellipsoid to bound the reachable sets of discrete-time delayed system. …”
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Newton Linearization of the Curvature Operator in Structured Grid Generation with Sample Solutions by Pat Piperni, Maahi M. Talukder

“…Elliptic grid generation equations based on the Laplacian operator have the well-known property of clustering the mesh near convex boundaries and declustering it near concave boundaries. …”
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Endoscopically Assisted Resection of a Rare Mass: Intra-Articular Osteochondroma of Shoulder Originated from Scapula by Baran Sarikaya, Fatih Suluova, Baki Volkan Cetin, Zeynep Bekin Sarikaya

“…Osteochondromas are the most common benign bone tumors which are mostly seen in the metaphysis of distal femur, proximal tibia, and proximal humerus. …”
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Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable by Najla M. Alarifi, Rabha W. Ibrahim

“…The upper bound of the suggested operator is computed by using the Fox-Wright function, for a class of convex functions and univalent functions. Moreover, as an application, we determine the upper bound of the generalized fractional 2-dimensional Saint-Venant equations (2D-SVE) of diffusive wave including the difference of bed slope.…”
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PROPER AND ISOLATED EFFICIENCIES IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS by Thái Doãn Chương

“…Sufficient conditions for the existence of such solutions are also supplied under assumptions of (local) convex/affine functions or L-invex-infine functions defined in terms of the limiting sub-differential of locally Lipschitz functions. …”
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Strong and Δ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces by C. E. Chidume, A. U. Bello, P. Ndambomve

“…Let K be a nonempty closed and convex subset of a complete CAT(0) space. Let Ti:K→CBK,i=1,2,…,m, be a family of multivalued demicontractive mappings such that F:=⋂i=1mF(Ti)≠∅. …”
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Scapular Osteochondroma: A Unique Site in 50 Years Old: An Unusual Case by Ravi Sauhta, Dheeraj Makkar

“…Osteochondromas are benign bone tumors that mainly affect the metaphysis of long bones. …”
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POSTMODERN KİMLİKLERİN KURULUMU by Süleyman Güven

“…Bu çalışmanın amacı postmodern dönem tanımlaması içerisinde kimliklerin yeni temeller üzerinden yapılanışını ele almak ve postmodern kimliğin oluşumunu incelemektir. …”
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Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions by Huaiqing Zhang, Yu Chen, Xin Nie

“…The defect of such method is the difficulty in its parameters determination and lack of adaptability to kernel function especially using monotonically decreasing functions to approximate the convex ones. This thesis proposed an improved scheme by adding new base function in interpolation procedure. …”
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Osmanlı Devleti’nde Modern Bir Okul Projesi: Müze-i Hümâyûn Mektebi by İbrahim Serbestoğlu, Turan Açık

“…Ancak bir türlü faaliyete geçemeyen müze mektebi, daha kapsamlı bir müfredata sahip olan Sanayi-i Nefise Mektebi’nin kuruluşu ile gereksiz konuma düştü. Yine de bir modernleşme teşebbüsü olarak Müze-i Hümâyûn Mektebi projesi, Osmanlıların bu dönem içerisinde bulundukları zihinsel durumu yansıtması açısından hayli önemli idi.…”
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