Search Results - "Wang, Gendi"
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1
Comparison and Möbius Quasi-invariance Properties of Ibragimov’s Metric
Published in Computational methods and function theory (01-09-2022)“…For a domain D ⊊ R n , Ibragimov’s metric is defined as u D ( x , y ) = 2 log | x - y | + max { d ( x ) , d ( y ) } d ( x ) d ( y ) , x , y ∈ D , where d ( x )…”
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2
The visual angle metric and quasiregular maps
Published in Proceedings of the American Mathematical Society (01-11-2016)“…The distortion of distances between points under maps is studied. We first prove a Schwarz-type lemma for quasiregular maps of the unit disk involving the…”
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3
Geometric Properties of the Triangular Ratio Metric and Related Metrics
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-11-2021)“…We study the inclusion relation of the triangular ratio metric balls and the Cassinian metric balls in subdomains of R n . Moreover, we study distortion…”
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4
Lipschitz constants for a hyperbolic type metric under Möbius transformations
Published in Czechoslovak mathematical journal (2024)“…Let D be a nonempty open set in a metric space ( X, d ) with ∂D ≠ Ø. Define h D , c ( x , y ) = log ( 1 + c d ( x , y ) d D ( x ) d D ( y ) ) . where d D ( x )…”
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5
Shafer–Fink type inequalities for arc lemniscate functions
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-04-2020)“…In this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In…”
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6
Gold(I) or Gold(III) as Real Intermediate Species in Gold-Catalyzed Cycloaddition Reactions of Enynal/Enynone?
Published in ACS catalysis (19-06-2020)“…Metal-bound isobenzopyrylium species are proposed as reactive intermediates in transition-metal-catalyzed [3 + 2] or [4 + 2] cyclizations of…”
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7
Remarks on the Scale-Invariant Cassinian Metric
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-05-2021)“…We study the geometry of the scale-invariant Cassinian metric and prove sharp comparison inequalities between this metric and the hyperbolic metric in the case…”
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8
Abnormal brain spontaneous neural activity in neuromyelitis optica spectrum disorder with neuropathic pain
Published in Frontiers in neurology (12-06-2024)“…Neuropathic pain is one of the most common symptoms in neuromyelitis optica spectrum disorder (NMOSD). Notwithstanding, its underlying mechanism remains…”
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9
Theory of Mind and Empathy in Adults With Epilepsy: A Meta-Analysis
Published in Frontiers in psychiatry (27-04-2022)“…Mounting evidence suggests that social cognitive abilities [including theory of mind (ToM) and empathy] are impaired in adult patients with epilepsy. Although…”
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10
Theory of mind and facial emotion recognition in adults with temporal lobe epilepsy: A meta-analysis
Published in Frontiers in psychiatry (06-10-2022)“…Background Mounting studies have investigated impairments in social cognitive domains (including theory of mind [ToM] and facial emotion recognition [FER] in…”
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11
Social cognition in children and adolescents with epilepsy: A meta-analysis
Published in Frontiers in psychiatry (15-09-2022)“…Many studies have investigated impairments in two key domains of social cognition (theory of mind [ToM] and facial emotion recognition [FER]) in children and…”
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12
Empathy and Theory of Mind in Multiple Sclerosis: A Meta-Analysis
Published in Frontiers in psychiatry (09-04-2021)“…Multiple sclerosis (MS) is an immune-mediated demyelinating disease of the central nervous system. Studies have shown that MS disrupts several social cognitive…”
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13
Convexity with respect to Hölder mean involving zero-balanced hypergeometric functions
Published in Journal of mathematical analysis and applications (01-05-2009)“…In this note we investigate the convexity of zero-balanced hypergeometric functions with respect to Hölder mean…”
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14
Concavity with respect to Hölder means involving the generalized Grötzsch function
Published in Journal of mathematical analysis and applications (01-07-2011)“…The generalized Grötzsch function has numerous applications in geometric function theory and analytic number theory and its properties have been investigated…”
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15
Inequalities for the generalized elliptic integrals and modular functions
Published in Journal of mathematical analysis and applications (15-07-2007)“…In this paper, the authors study monotonicity and convexity of the generalized elliptic integrals and certain combinations of these special functions, such as…”
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16
The optimal generalized logarithmic mean bounds for Seiffert's mean
Published in Acta mathematica scientia (01-07-2012)“…For p ∈R, the generalized logarithmic mean Lp(a,b) and Seiffert's mean T(a,b) of two positive real numbers a and b are defined in (1.1) and (1.2) below…”
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17
The inverse hyperbolic tangent function and Jacobian sine function
Published in Journal of mathematical analysis and applications (01-04-2017)“…The Hölder convexity of the composition of inverse hyperbolic tangent function and Jacobian sine function is investigated in this paper…”
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18
Generalized convexity and inequalities involving special functions
Published in Journal of mathematical analysis and applications (15-12-2007)“…In this paper, the authors show a relation between the generalized convexity and super- (sub-)multiplicative property, and discuss some generalized convexity…”
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19
Distortion theorems of plane quasiconformal mappings
Published in Journal of mathematical analysis and applications (01-12-2006)“…The authors prove a conjecture on elliptic integrals and obtain sharp bounds for φ K ( r ) and λ ( K ) . By using Teichmüller's module theorem, the authors…”
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20
The Adjacent Sides of Hyperbolic Lambert Quadrilaterals
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-10-2018)“…We prove sharp bounds for the product and the sum of the hyperbolic lengths of a pair of hyperbolic adjacent sides of hyperbolic Lambert quadrilaterals in the…”
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