Results 21 to 30 of about 357,419 (186)
Bounds between contraction coefficients [PDF]
2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2015 In this paper, we delineate how the contraction coefficient of the strong data processing inequality for KL divergence can be used to learn likelihood models. We then present an alternative formulation that forces the input KL divergence to vanish, and achieves a contraction coefficient equivalent to the squared maximal correlation using a linear ...
Makur, Anuran, Zheng, Lizhong
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Mathematics, 2022 The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates.
Georgia Irina Oros +1 more
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Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients
Complex Analysis and Operator Theory, 2023 Abstract In this paper we introduced the class SG* of analytic functions which is related with starlike functions and generating functionof Gregory coefficients. By using bounds on some coefficient functionals for the family of functions with positive real part, we obtain several sharp coefficient bounds on the first six coeffcients and also ...
Sercan Kazımoğlu +2 more
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Bounds for Hilbert coefficients [PDF]
Proceedings of the American Mathematical Society, 2008 Let \(K\) be a field, \(S =K[x_{1}, \ldots , x_{n}]\) the polynomial ring in \(n\) variables, and let \(N\) be any graded \(S\)-module of dimension \(d\). If \(N\) has a pure resolution, the authors give explicit formulas for the Hilbert coefficients \(e_{i}(N)\). Moreover, the combination of this result and some recent work of \textit{D. Eisenbud} and
Herzog, Jürgen, Zheng, Xinxian
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Starlike Functions Associated with Bernoulli’s Numbers of Second Kind
Axioms, 2023 The aim of this paper is to introduce a class of starlike functions that are related to Bernoulli’s numbers of the second kind. Let φBS(ξ)=ξeξ−12=∑n=0∞ξnBn2n!, where the coefficients of Bn2 are Bernoulli numbers of the second kind.
Mohsan Raza +4 more
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Some Coefficient Bounds Associated with Transforms of Bounded Turning Functions
Ukrainian Mathematical Journal, 2023 UDC 517.5 We present the derivation of an upper bound for the Hankel determinants of certain orders linked with the k th-root transform
Vani, N. +2 more
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Harmonic mappings onto R-convex domains
Проблемы анализа, 2019 The plane domain D is called R-convex if D contains each compact set bounded by two shortest sub-arcs of the radius R with endpoints w1, w2 ∈ D, |w1−w2|
Graf S. Yu.
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Lorentz and CPT Violation in the Higgs Sector [PDF]
, 2004 Colladay and Kostelecky have proposed a framework for studying Lorentz and CPT violation in a natural extension of the Standard Model. Although numerous bounds exist on the Lorentz and CPT violating parameters in the gauge boson and fermion sectors ...
Anderson, David L. +2 more
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Reduced Complexity Filtering with Stochastic Dominance Bounds: A Convex Optimization Approach [PDF]
, 2014 This paper uses stochastic dominance principles to construct upper and lower sample path bounds for Hidden Markov Model (HMM) filters. Given a HMM, by using convex optimization methods for nuclear norm minimization with copositive constraints, we ...
Ieee Cristian +2 more
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Coefficient bounds for convex functions of bounded type [PDF]
Proceedings of the American Mathematical Society, 1988 A normalized univalent function is called convex of bounded type if the curvature of the curve bounding the image domain of the unit disc lies between two fixed positive numbers. Sharp bounds for the modulus of the second and the third Taylor coefficient of such functions are derived.
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