Trudinger-Moser Embedding on the Hyperbolic Space by Yunyan Yang, Xiaobao Zhu

“…In this note we shall improve the above mentioned inequality. Particularly, we show that, for any 0<α<αn and any τ>0, the above mentioned inequality holds with the definition of u1,τ replaced by (∫ℍn‍(|∇gu|n+τ|u|n)dvg)1/n. …”
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T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion by Yanhui Li, Xiujie Zhou

“…Based on the Lyapunov stability theory and the Itô differential rule, the Hankel norm criterion is first established by adopting the integral inequality method, which can make some useful efforts in reducing conservativeness. …”
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Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays by Yunling Shi, Xiuyan Peng

“…This paper investigates the problem of full-order and reduced-order fault detection filter (FDF) design under unified linear matrix inequality (LMI) conditions for a class of continuous-time singular Markovian jump systems (CTSMJSs) with time-varying delays and polytopic uncertain transition rates. …”
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Gandhi: A Man for our Times? by Judith Brown

“…It also focuses on Gandhi’s critique of Hindu tradition as a powerful buttress of profound social inequality particularly relating to caste and gender; his response to violence in the name of religion and community; and finally his underlying belief that true religion was the individual’s search for the divine and that all religious traditions by contrast have very partial visions of truth. …”
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Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks by Guobao Liu, Shibin Shen, Xianglei Jia

“…Then, by combining some integral inequalities and using the Lyapunov–Krasovskii functional approach, sufficient delay-dependent conditions are presented based on linear matrix inequality techniques, where the system of filtering error can be stochastically admissible and strictly ℚ,S,ℝ-dissipative against randomly occurring deception attacks. …”
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Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay by Zhongda Lu, Guoliang Zhang, Yi Sun, Jie Sun, Fangming Jin, Fengxia Xu

“…Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). …”
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Navigating diversity: Assessing gender inclusivity at the 2023 Association of Geographical Societies in Europe (EUGEO) Congress by Liliana Solé Figueras, Briana Bombana, Anna Ortiz Guitart

“… Academic gender inequalities have been acknowledged as a long-standing issue. …”
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Development of web-based learning media with a realistic mathematics education approach to increase student self-determination by Iryana Muhammad, Al Jupri, Tatang Herman

“…This study aims to: (1) develop and validate web-based learning media utilizing Google Sites with a realistic mathematics education (RME) approach on linear inequality material in one variable that is valid and effective; (2) enhance students' self-determination in mathematics. …”
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A Spatially Extended Model for Residential Segregation by Antonio Aguilera, Edgardo Ugalde

“…This simple model provides a dynamical process organizing the virtual city, in a way that the population inequality and the inflationary parameter determine the degree of residential segregation in the final stage of the process, in agreement with the segregation-inequality thesis put forward by Douglas Massey.…”
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On Certain Properties for Two Classes of Generalized Convex Functions by Mohamed S. S. Ali

“…Furthermore, we establish Hadamard’s inequality for them.…”
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Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables by Qunying Wu

“…Applying to the moment inequality of negatively dependent random variables the complete convergence for weighted sums of sequences of negatively dependent random variables is discussed. …”
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A Liouville Type Result for Schrödinger Equation on Half-Spaces by Baiyu Liu

“…Using a Hardy-type inequality and the moving plane method, we obtain a Liouville type result for its nonnegative solutions.…”
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Professional experiences on use of the mental health act in ethnically diverse populations: a photovoice study by Roisin Mooney, Paul McCrone, Rose McCabe, Kamaldeep Bhui, Brian Brown, Colin King, Andrew Molodynski, Nusrat Husain, Jacqueline Sin, Karen Newbigging, Michael Larkin, Neil Caton, Raghu Raghavan, Doreen Joseph, Anthony Zigmond, Michelle Yeung, Julie Carr, Phuong Hua, Frank Keating, Tara Morey, Claire Dempsey, Rahul Battacharya, Nuwan Dissanyake, Rochelle Ramkisson, Laura Dixon, Kopal Tandon, Gary Roberts, Paul Illingworth, Jo White, Karen Persaud, Sayeeda Basharat, Tripti Kandia, Sandra Griffiths, Michael Molete

“…Background There are long-standing ethnic and racial inequalities in experiences and outcomes of severe mental illness, including compulsory admission and treatment (CAT).Aims To gather professional experiences about (1) remedies for ethnic inequalities in the use of the Mental Health Act ((MHA) 1983 and 2007) and (2) recommendations for improving care experiences and for reducing ethnic inequalities.Method We undertook a participatory research process using photovoice to gather experience data. …”
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Perceived barriers to reaching equity in effective access to diagnosis and treatment for women with breast cancer in Chile by Carla Campaña, Báltica Cabieses, Alexandra Obach, Francisca Vezzani

“…Abstract Globally, it has been reported inequities in breast cancer effective access to health care. …”
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On Abstract Economies and Their Applications by Chien-Hao Huang, Liang-Ju Chu

“…We establish a new equilibrium existence theorem of generalized abstract economies with general preference correspondences. …”
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On Mann’s Type Method for Nonexpansive and Strongly Quasinonexpansive Mappings in Hilbert Spaces by Nawab Hussain, Giuseppe Marino, Badriah A. S. Alamri

“…In the setting of Hilbert spaces, we study Mann’s type method to approximate strong solutions of variational inequalities. We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on the coefficients involved in the algorithm.…”
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New Characterizations of k-Uniformly Extremely Convex Banach Spaces by Suyalatu Wulede

“…As special cases for k=1, two necessary and sufficient conditions of uniform extreme convexity are presented and a characteristic inequality of uniformly extremely convex spaces is given.…”
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Fekete–Szegö Problems for Certain Classes of Meromorphic Functions Involving q-Al-Oboudi Differential Operator by M.K. Aouf, Fatma Z. El-Emam

“…By using this new operator, we define a new subclass of meromorphic functions and obtain the Fekete–Szegő inequalities.…”
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Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales by Quanxin Zhang, Shouhua Liu

“…We establish the oscillation criteria of Philos type for second-order half-linear neutral delay dynamic equations with damping on time scales by the generalized Riccati transformation and inequality technique. Our results are new even in the continuous and the discrete cases.…”
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General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents by Mohammad Alnegga, Abdelbaki Choucha, Djamel Ouchenane, Salah Boulaaras

“…Next, by using an integral inequality due to Komornik the general decay result is obtained. …”
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