Results 31 to 40 of about 1,374,629 (297)
Some Upper Bounds for Relative Entropy and Applications [PDF]
, 1998 In this paper we derive some upper bounds for the relative entropy D(p || q) of two probability distribution and apply them to mutual information and entropy mapping.
Sunde, J +2 more
core +6 more sources
Hölder Inequalities for a Generalized Subclass of Univalent Functions Involving Borel Distributions
Mathematics, 2022 In this article, by making use of the Borel distributions series, we introduce a new family of normalized holomorphic functions in the open unit disk and investigate necessary and sufficient conditions for functions f to be in this new class. Furthermore,
Gangadharan Murugusundaramoorthy +1 more
doaj +1 more source
Coefficient Bounds for Certain Subclasses of q-Starlike Functions
Mathematics, 2019 By making use of q-calculus, we define and investigate several new subclasses of bi-univalent mappings related to the q-Noor integral operator. The coefficient bounds | u 2 | , | u 3 | and the Fekete−Szegő problem u ...
Lin-Lin Fan +5 more
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Fractal and Fractional, 2022 The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research.
Isra Al-Shbeil +2 more
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Coefficient Bounds for Certain Classes of Meromorphic Functions
Journal of Inequalities and Applications, 2009 Sharp bounds for |a1−μa02| are derived for certain classes Σ∗(Õ) and Σα∗(Õ) of meromorphic functions f(z) defined on the punctured open unit disk for which −zf′(z)/f(z) and (−(1−2α)zf′(z)+ÃŽÂ ...
K. Suchithra +3 more
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Coefficient Bounds for Certain Subclasses of Bi-Univalent Function
Abstract and Applied Analysis, 2013 We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses.
G. Murugusundaramoorthy +2 more
doaj +1 more source
ON LINEAR COMBINATIONS OF UNITS WITH BOUNDED COEFFICIENTS [PDF]
Mathematika, 2011 Let \(O\) be an order in an algebraic number field, and assume that \(O\) is generated additively by its units. The authors introduce the unit sum height \(\omega(\alpha)\) of \(\alpha\in O\), defined as the smallest integer \(a_1\) such that \(\alpha\) can be written in the form \(\alpha=a_1u_1+\cdots+a_mu_m\) with distinct units \(u_1,\dots,u_m\) and
Thuswaldner, Jörg, Ziegler, Volker
openaire +1 more source
HARMONIC MAPPINGS WITH THE FIXED ANALYTIC PART
Проблемы анализа, 2021 In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters.
Rajbala, Jugal K. Prajapat
doaj +1 more source
Optimal calibration in immunoassay and inference on the coefficient of variation [PDF]
, 2008 This thesis examines and develops statistical methods for design and analysis with applications in immunoassay and other analytical techniques. In immunoassay, concentrations of components in clinical samples are measured using antibodies.
Forkman, Johannes
core +1 more source
Sharp Coefficient Bounds for a Subclass of Bounded Turning Functions with a Cardioid Domain
Axioms, 2023 In the present paper, we give a new simple proof on the sharp bounds of coefficient functionals related to the Carathéodory functions and make a correction on the extremal functions.
Lei Shi +3 more
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